TSTP Solution File: KRS258+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS258+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 17:45:20 EDT 2022
% Result : Theorem 1.10s 1.00s
% Output : Proof 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS258+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 10:14:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 1.10/1.00 % SZS status Theorem
% 1.10/1.00 % SZS output start Proof
% 1.10/1.00 tff(status_type, type, (
% 1.10/1.00 status: ( $i * $i * $i ) > $o)).
% 1.10/1.00 tff(eqv_type, type, (
% 1.10/1.00 eqv: $i)).
% 1.10/1.00 tff(tptp_fun_C_33_type, type, (
% 1.10/1.00 tptp_fun_C_33: $i)).
% 1.10/1.00 tff(model_type, type, (
% 1.10/1.00 model: ( $i * $i ) > $o)).
% 1.10/1.00 tff(tptp_fun_I1_0_type, type, (
% 1.10/1.00 tptp_fun_I1_0: $i > $i)).
% 1.10/1.00 tff(tptp_fun_I2_4_type, type, (
% 1.10/1.00 tptp_fun_I2_4: ( $i * $i ) > $i)).
% 1.10/1.00 tff(tptp_fun_I1_35_type, type, (
% 1.10/1.00 tptp_fun_I1_35: $i)).
% 1.10/1.00 tff(tptp_fun_I2_36_type, type, (
% 1.10/1.00 tptp_fun_I2_36: $i)).
% 1.10/1.00 tff(tptp_fun_Ax_34_type, type, (
% 1.10/1.00 tptp_fun_Ax_34: $i)).
% 1.10/1.00 tff(nevera_type, type, (
% 1.10/1.00 nevera: ( $i * $i ) > $o)).
% 1.10/1.00 tff(tptp_fun_C_24_type, type, (
% 1.10/1.00 tptp_fun_C_24: ( $i * $i ) > $i)).
% 1.10/1.00 tff(tptp_fun_Ax_25_type, type, (
% 1.10/1.00 tptp_fun_Ax_25: ( $i * $i ) > $i)).
% 1.10/1.00 tff(tptp_fun_I1_3_type, type, (
% 1.10/1.00 tptp_fun_I1_3: ( $i * $i ) > $i)).
% 1.10/1.00 tff(thm_type, type, (
% 1.10/1.00 thm: $i)).
% 1.10/1.00 tff(mighta_type, type, (
% 1.10/1.00 mighta: ( $i * $i ) > $o)).
% 1.10/1.00 tff(tptp_fun_C_18_type, type, (
% 1.10/1.00 tptp_fun_C_18: ( $i * $i ) > $i)).
% 1.10/1.00 tff(tptp_fun_Ax_19_type, type, (
% 1.10/1.00 tptp_fun_Ax_19: ( $i * $i ) > $i)).
% 1.10/1.00 tff(1,plain,
% 1.10/1.00 (^[Ax: $i, C: $i] : rewrite((~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))) <=> (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))))),
% 1.10/1.00 inference(bind,[status(th)],[])).
% 1.10/1.00 tff(2,plain,
% 1.10/1.00 (![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))) <=> ![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.10/1.00 inference(quant_intro,[status(thm)],[1])).
% 1.10/1.00 tff(3,plain,
% 1.10/1.00 (^[Ax: $i, C: $i] : refl((~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))) <=> (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))))),
% 1.10/1.00 inference(bind,[status(th)],[])).
% 1.10/1.00 tff(4,plain,
% 1.10/1.00 (![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))) <=> ![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.10/1.00 inference(quant_intro,[status(thm)],[3])).
% 1.10/1.00 tff(5,plain,
% 1.10/1.00 (^[Ax: $i, C: $i] : rewrite((~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))) <=> (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))))),
% 1.10/1.00 inference(bind,[status(th)],[])).
% 1.10/1.00 tff(6,plain,
% 1.10/1.00 (![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))) <=> ![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.10/1.00 inference(quant_intro,[status(thm)],[5])).
% 1.10/1.00 tff(7,plain,
% 1.10/1.00 (![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))) <=> ![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.10/1.00 inference(transitivity,[status(thm)],[6, 4])).
% 1.10/1.00 tff(8,plain,
% 1.10/1.00 (^[Ax: $i, C: $i] : trans(monotonicity(rewrite((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) <=> (status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))), trans(monotonicity(rewrite((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) <=> (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))), (((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv))) <=> ((~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))) | (~status(Ax, C, eqv))))), rewrite(((~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))) | (~status(Ax, C, eqv))) <=> ((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))), (((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv))) <=> ((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))), (((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv)))) <=> ((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))))), rewrite(((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C))))))) <=> (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))), (((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv)))) <=> (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))))),
% 1.10/1.00 inference(bind,[status(th)],[])).
% 1.10/1.00 tff(9,plain,
% 1.10/1.00 (![Ax: $i, C: $i] : ((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv)))) <=> ![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.20/1.00 inference(quant_intro,[status(thm)],[8])).
% 1.20/1.00 tff(10,plain,
% 1.20/1.00 (^[Ax: $i, C: $i] : rewrite((((![I1: $i] : (~model(I1, Ax)) | (~(model(tptp_fun_I2_4(C, Ax), Ax) <=> model(tptp_fun_I2_4(C, Ax), C)))) | status(Ax, C, eqv)) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv)))) <=> ((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv)))))),
% 1.20/1.00 inference(bind,[status(th)],[])).
% 1.20/1.00 tff(11,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : (((![I1: $i] : (~model(I1, Ax)) | (~(model(tptp_fun_I2_4(C, Ax), Ax) <=> model(tptp_fun_I2_4(C, Ax), C)))) | status(Ax, C, eqv)) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv)))) <=> ![Ax: $i, C: $i] : ((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv))))),
% 1.20/1.00 inference(quant_intro,[status(thm)],[10])).
% 1.20/1.00 tff(12,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : ((?[I1: $i] : model(I1, Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) <=> status(Ax, C, eqv)) <=> ![Ax: $i, C: $i] : ((?[I1: $i] : model(I1, Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) <=> status(Ax, C, eqv))),
% 1.20/1.00 inference(rewrite,[status(thm)],[])).
% 1.20/1.00 tff(13,axiom,(![Ax: $i, C: $i] : ((?[I1: $i] : model(I1, Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) <=> status(Ax, C, eqv))), file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax','eqv')).
% 1.20/1.00 tff(14,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : ((?[I1: $i] : model(I1, Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) <=> status(Ax, C, eqv))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[13, 12])).
% 1.20/1.00 tff(15,plain,(
% 1.20/1.00 ![Ax: $i, C: $i] : (((![I1: $i] : (~model(I1, Ax)) | (~(model(tptp_fun_I2_4(C, Ax), Ax) <=> model(tptp_fun_I2_4(C, Ax), C)))) | status(Ax, C, eqv)) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv))))),
% 1.20/1.00 inference(skolemize,[status(sab)],[14])).
% 1.20/1.00 tff(16,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : ((status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C))) & ((model(tptp_fun_I1_0(Ax), Ax) & ![I2: $i] : (model(I2, Ax) <=> model(I2, C))) | (~status(Ax, C, eqv))))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[15, 11])).
% 1.20/1.00 tff(17,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[16, 9])).
% 1.20/1.00 tff(18,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ![I1: $i] : (~model(I1, Ax)) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[17, 7])).
% 1.20/1.00 tff(19,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[18, 2])).
% 1.20/1.00 tff(20,plain,
% 1.20/1.00 (((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33)))))) <=> ((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33))))))),
% 1.20/1.00 inference(rewrite,[status(thm)],[])).
% 1.20/1.00 tff(21,plain,
% 1.20/1.00 ((~((~(status(C!33, C!33, eqv) | ((~model(tptp_fun_I2_4(C!33, C!33), C!33)) <=> model(tptp_fun_I2_4(C!33, C!33), C!33)) | ![I1: $i] : (~model(I1, C!33)))) | (~((~status(C!33, C!33, eqv)) | (~((~model(tptp_fun_I1_0(C!33), C!33)) | (~![I2: $i] : (model(I2, C!33) <=> model(I2, C!33))))))))) <=> (~((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33)))))),
% 1.20/1.00 inference(rewrite,[status(thm)],[])).
% 1.20/1.00 tff(22,plain,
% 1.20/1.00 (((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(status(C!33, C!33, eqv) | ((~model(tptp_fun_I2_4(C!33, C!33), C!33)) <=> model(tptp_fun_I2_4(C!33, C!33), C!33)) | ![I1: $i] : (~model(I1, C!33)))) | (~((~status(C!33, C!33, eqv)) | (~((~model(tptp_fun_I1_0(C!33), C!33)) | (~![I2: $i] : (model(I2, C!33) <=> model(I2, C!33)))))))))) <=> ((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33))))))),
% 1.20/1.00 inference(monotonicity,[status(thm)],[21])).
% 1.20/1.00 tff(23,plain,
% 1.20/1.00 (((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(status(C!33, C!33, eqv) | ((~model(tptp_fun_I2_4(C!33, C!33), C!33)) <=> model(tptp_fun_I2_4(C!33, C!33), C!33)) | ![I1: $i] : (~model(I1, C!33)))) | (~((~status(C!33, C!33, eqv)) | (~((~model(tptp_fun_I1_0(C!33), C!33)) | (~![I2: $i] : (model(I2, C!33) <=> model(I2, C!33)))))))))) <=> ((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33))))))),
% 1.20/1.00 inference(transitivity,[status(thm)],[22, 20])).
% 1.20/1.00 tff(24,plain,
% 1.20/1.00 ((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(status(C!33, C!33, eqv) | ((~model(tptp_fun_I2_4(C!33, C!33), C!33)) <=> model(tptp_fun_I2_4(C!33, C!33), C!33)) | ![I1: $i] : (~model(I1, C!33)))) | (~((~status(C!33, C!33, eqv)) | (~((~model(tptp_fun_I1_0(C!33), C!33)) | (~![I2: $i] : (model(I2, C!33) <=> model(I2, C!33)))))))))),
% 1.20/1.00 inference(quant_inst,[status(thm)],[])).
% 1.20/1.00 tff(25,plain,
% 1.20/1.00 ((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33)))))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[24, 23])).
% 1.20/1.00 tff(26,plain,
% 1.20/1.00 (~((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33))))),
% 1.20/1.00 inference(unit_resolution,[status(thm)],[25, 19])).
% 1.20/1.00 tff(27,plain,
% 1.20/1.00 (((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | (~((~status(C!33, C!33, eqv)) | model(tptp_fun_I1_0(C!33), C!33)))) | (![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))),
% 1.20/1.00 inference(tautology,[status(thm)],[])).
% 1.20/1.00 tff(28,plain,
% 1.20/1.00 (![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv)),
% 1.20/1.00 inference(unit_resolution,[status(thm)],[27, 26])).
% 1.20/1.00 tff(29,assumption,(![I1: $i] : (~model(I1, C!33))), introduced(assumption)).
% 1.20/1.00 tff(30,plain,
% 1.20/1.00 (((model(I1!35, Ax!34) & model(I1!35, C!33)) & ((~model(I2!36, Ax!34)) | (~model(I2!36, C!33)))) <=> (model(I1!35, Ax!34) & model(I1!35, C!33) & ((~model(I2!36, Ax!34)) | (~model(I2!36, C!33))))),
% 1.20/1.00 inference(rewrite,[status(thm)],[])).
% 1.20/1.00 tff(31,plain,
% 1.20/1.00 (?[Ax: $i, C: $i] : (?[I1: $i] : (model(I1, Ax) & model(I1, C)) & ?[I2: $i] : ((~model(I2, Ax)) | (~model(I2, C)))) <=> ?[Ax: $i, C: $i] : (?[I1: $i] : (model(I1, Ax) & model(I1, C)) & ?[I2: $i] : ((~model(I2, Ax)) | (~model(I2, C))))),
% 1.20/1.00 inference(rewrite,[status(thm)],[])).
% 1.20/1.00 tff(32,axiom,(?[Ax: $i, C: $i] : (?[I1: $i] : (model(I1, Ax) & model(I1, C)) & ?[I2: $i] : ((~model(I2, Ax)) | (~model(I2, C))))), file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax','sat_non_taut_pair')).
% 1.20/1.00 tff(33,plain,
% 1.20/1.00 (?[Ax: $i, C: $i] : (?[I1: $i] : (model(I1, Ax) & model(I1, C)) & ?[I2: $i] : ((~model(I2, Ax)) | (~model(I2, C))))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[32, 31])).
% 1.20/1.00 tff(34,plain,
% 1.20/1.00 (model(I1!35, Ax!34) & model(I1!35, C!33) & ((~model(I2!36, Ax!34)) | (~model(I2!36, C!33)))),
% 1.20/1.00 inference(modus_ponens,[status(thm)],[33, 30])).
% 1.20/1.00 tff(35,plain,
% 1.20/1.00 (model(I1!35, C!33)),
% 1.20/1.00 inference(and_elim,[status(thm)],[34])).
% 1.20/1.00 tff(36,plain,
% 1.20/1.00 ((~![I1: $i] : (~model(I1, C!33))) | (~model(I1!35, C!33))),
% 1.20/1.00 inference(quant_inst,[status(thm)],[])).
% 1.20/1.00 tff(37,plain,
% 1.20/1.00 ($false),
% 1.20/1.00 inference(unit_resolution,[status(thm)],[36, 35, 29])).
% 1.20/1.00 tff(38,plain,(~![I1: $i] : (~model(I1, C!33))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.00 tff(39,plain,
% 1.20/1.00 ((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | ![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv)),
% 1.20/1.00 inference(tautology,[status(thm)],[])).
% 1.20/1.00 tff(40,plain,
% 1.20/1.00 ((~(![I1: $i] : (~model(I1, C!33)) | status(C!33, C!33, eqv))) | status(C!33, C!33, eqv)),
% 1.20/1.00 inference(unit_resolution,[status(thm)],[39, 38])).
% 1.20/1.00 tff(41,plain,
% 1.20/1.00 (status(C!33, C!33, eqv)),
% 1.20/1.00 inference(unit_resolution,[status(thm)],[40, 28])).
% 1.20/1.00 tff(42,plain,
% 1.20/1.00 (^[Ax: $i, C: $i] : rewrite((~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))) <=> (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~((~status(Ax, C, thm)) | ![I1: $i] : ((~model(I1, Ax)) | model(I1, C)))))))),
% 1.20/1.00 inference(bind,[status(th)],[])).
% 1.20/1.00 tff(43,plain,
% 1.20/1.00 (![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))) <=> ![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~((~status(Ax, C, thm)) | ![I1: $i] : ((~model(I1, Ax)) | model(I1, C))))))),
% 1.20/1.00 inference(quant_intro,[status(thm)],[42])).
% 1.20/1.00 tff(44,plain,
% 1.20/1.00 (^[Ax: $i, C: $i] : refl((~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))) <=> (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(45,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))) <=> ![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[44])).
% 1.20/1.01 tff(46,plain,
% 1.20/1.01 (^[Ax: $i, C: $i] : rewrite((~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))) <=> (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(47,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))) <=> ![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[46])).
% 1.20/1.01 tff(48,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))) <=> ![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))),
% 1.20/1.01 inference(transitivity,[status(thm)],[47, 45])).
% 1.20/1.01 tff(49,plain,
% 1.20/1.01 (^[Ax: $i, C: $i] : trans(monotonicity(rewrite((![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))) <=> (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))), ((((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm)) & (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))) <=> (((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm)) & (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))))), rewrite((((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm)) & (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))) <=> (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))), ((((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm)) & (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))) <=> (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(50,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm)) & (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm)))) <=> ![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[49])).
% 1.20/1.01 tff(51,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) <=> status(Ax, C, thm)) <=> ![Ax: $i, C: $i] : (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) <=> status(Ax, C, thm))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(52,plain,
% 1.20/1.01 (^[Ax: $i, C: $i] : rewrite((![I1: $i] : (model(I1, Ax) => model(I1, C)) <=> status(Ax, C, thm)) <=> (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) <=> status(Ax, C, thm)))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(53,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (![I1: $i] : (model(I1, Ax) => model(I1, C)) <=> status(Ax, C, thm)) <=> ![Ax: $i, C: $i] : (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) <=> status(Ax, C, thm))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[52])).
% 1.20/1.01 tff(54,axiom,(![Ax: $i, C: $i] : (![I1: $i] : (model(I1, Ax) => model(I1, C)) <=> status(Ax, C, thm))), file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax','thm')).
% 1.20/1.01 tff(55,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) <=> status(Ax, C, thm))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[54, 53])).
% 1.20/1.01 tff(56,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) <=> status(Ax, C, thm))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[55, 51])).
% 1.20/1.01 tff(57,plain,(
% 1.20/1.01 ![Ax: $i, C: $i] : (((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm)) & (![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))),
% 1.20/1.01 inference(skolemize,[status(sab)],[56])).
% 1.20/1.01 tff(58,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[57, 50])).
% 1.20/1.01 tff(59,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~(![I1: $i] : ((~model(I1, Ax)) | model(I1, C)) | (~status(Ax, C, thm))))))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[58, 48])).
% 1.20/1.01 tff(60,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~((~status(Ax, C, thm)) | ![I1: $i] : ((~model(I1, Ax)) | model(I1, C))))))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[59, 43])).
% 1.20/1.01 tff(61,plain,
% 1.20/1.01 ((~![Ax: $i, C: $i] : (~((~((~((~model(tptp_fun_I1_3(C, Ax), Ax)) | model(tptp_fun_I1_3(C, Ax), C))) | status(Ax, C, thm))) | (~((~status(Ax, C, thm)) | ![I1: $i] : ((~model(I1, Ax)) | model(I1, C))))))) | (~((~((~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))) | (~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)) | ![I1: $i] : ((~model(I1, tptp_fun_Ax_25(eqv, eqv))) | model(I1, tptp_fun_C_24(eqv, eqv)))))))),
% 1.20/1.01 inference(quant_inst,[status(thm)],[])).
% 1.20/1.01 tff(62,plain,
% 1.20/1.01 (~((~((~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))) | (~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)) | ![I1: $i] : ((~model(I1, tptp_fun_Ax_25(eqv, eqv))) | model(I1, tptp_fun_C_24(eqv, eqv))))))),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[61, 60])).
% 1.20/1.01 tff(63,plain,
% 1.20/1.01 (((~((~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))) | (~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)) | ![I1: $i] : ((~model(I1, tptp_fun_Ax_25(eqv, eqv))) | model(I1, tptp_fun_C_24(eqv, eqv)))))) | ((~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))),
% 1.20/1.01 inference(tautology,[status(thm)],[])).
% 1.20/1.01 tff(64,plain,
% 1.20/1.01 ((~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[63, 62])).
% 1.20/1.01 tff(65,assumption,(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)), introduced(assumption)).
% 1.20/1.01 tff(66,plain,
% 1.20/1.01 (^[S1: $i, S2: $i] : refl((~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))) <=> (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(67,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))) <=> ![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[66])).
% 1.20/1.01 tff(68,plain,
% 1.20/1.01 (^[S1: $i, S2: $i] : rewrite((~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))) <=> (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(69,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))) <=> ![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[68])).
% 1.20/1.01 tff(70,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))) <=> ![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))),
% 1.20/1.01 inference(transitivity,[status(thm)],[69, 67])).
% 1.20/1.01 tff(71,plain,
% 1.20/1.01 (^[S1: $i, S2: $i] : trans(monotonicity(rewrite((mighta(S1, S2) | ![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2)))) <=> (mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))), trans(monotonicity(rewrite((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) <=> (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))), (((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2))) <=> ((~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))) | (~mighta(S1, S2))))), rewrite(((~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))) | (~mighta(S1, S2))) <=> ((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))), (((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2))) <=> ((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))), (((mighta(S1, S2) | ![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2)))) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2)))) <=> ((mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))) & ((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))))), rewrite(((mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))) & ((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)))))) <=> (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))), (((mighta(S1, S2) | ![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2)))) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2)))) <=> (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(72,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : ((mighta(S1, S2) | ![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2)))) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2)))) <=> ![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[71])).
% 1.20/1.01 tff(73,plain,
% 1.20/1.01 (^[S1: $i, S2: $i] : rewrite(((![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2))) | mighta(S1, S2)) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2)))) <=> ((mighta(S1, S2) | ![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2)))) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2)))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(74,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : ((![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2))) | mighta(S1, S2)) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2)))) <=> ![S1: $i, S2: $i] : ((mighta(S1, S2) | ![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2)))) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2))))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[73])).
% 1.20/1.01 tff(75,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : (?[Ax: $i, C: $i] : (status(Ax, C, S1) & status(Ax, C, S2)) <=> mighta(S1, S2)) <=> ![S1: $i, S2: $i] : (?[Ax: $i, C: $i] : (status(Ax, C, S1) & status(Ax, C, S2)) <=> mighta(S1, S2))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(76,axiom,(![S1: $i, S2: $i] : (?[Ax: $i, C: $i] : (status(Ax, C, S1) & status(Ax, C, S2)) <=> mighta(S1, S2))), file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax','mighta')).
% 1.20/1.01 tff(77,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : (?[Ax: $i, C: $i] : (status(Ax, C, S1) & status(Ax, C, S2)) <=> mighta(S1, S2))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[76, 75])).
% 1.20/1.01 tff(78,plain,(
% 1.20/1.01 ![S1: $i, S2: $i] : ((![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2))) | mighta(S1, S2)) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2))))),
% 1.20/1.01 inference(skolemize,[status(sab)],[77])).
% 1.20/1.01 tff(79,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : ((mighta(S1, S2) | ![Ax: $i, C: $i] : (~(status(Ax, C, S1) & status(Ax, C, S2)))) & ((status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1) & status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2)) | (~mighta(S1, S2))))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[78, 74])).
% 1.20/1.01 tff(80,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[79, 72])).
% 1.20/1.01 tff(81,plain,
% 1.20/1.01 (![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[80, 70])).
% 1.20/1.01 tff(82,plain,
% 1.20/1.01 ((~![S1: $i, S2: $i] : (~((~(mighta(S1, S2) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))) | (~((~mighta(S1, S2)) | (~((~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S1)) | (~status(tptp_fun_Ax_19(S2, S1), tptp_fun_C_18(S2, S1), S2))))))))) | (~((~(mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv))))) | (~((~mighta(eqv, thm)) | (~((~status(tptp_fun_Ax_19(thm, eqv), tptp_fun_C_18(thm, eqv), eqv)) | (~status(tptp_fun_Ax_19(thm, eqv), tptp_fun_C_18(thm, eqv), thm))))))))),
% 1.20/1.01 inference(quant_inst,[status(thm)],[])).
% 1.20/1.01 tff(83,plain,
% 1.20/1.01 (~((~(mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv))))) | (~((~mighta(eqv, thm)) | (~((~status(tptp_fun_Ax_19(thm, eqv), tptp_fun_C_18(thm, eqv), eqv)) | (~status(tptp_fun_Ax_19(thm, eqv), tptp_fun_C_18(thm, eqv), thm)))))))),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[82, 81])).
% 1.20/1.01 tff(84,plain,
% 1.20/1.01 (((~(mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv))))) | (~((~mighta(eqv, thm)) | (~((~status(tptp_fun_Ax_19(thm, eqv), tptp_fun_C_18(thm, eqv), eqv)) | (~status(tptp_fun_Ax_19(thm, eqv), tptp_fun_C_18(thm, eqv), thm))))))) | (mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv))))),
% 1.20/1.01 inference(tautology,[status(thm)],[])).
% 1.20/1.01 tff(85,plain,
% 1.20/1.01 (mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[84, 83])).
% 1.20/1.01 tff(86,plain,
% 1.20/1.01 ((~mighta(eqv, thm)) <=> (~mighta(eqv, thm))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(87,axiom,(~mighta(eqv, thm)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mighta_eqv_thm')).
% 1.20/1.01 tff(88,plain,
% 1.20/1.01 (~mighta(eqv, thm)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[87, 86])).
% 1.20/1.01 tff(89,plain,
% 1.20/1.01 ((~(mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv))))) | mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))),
% 1.20/1.01 inference(tautology,[status(thm)],[])).
% 1.20/1.01 tff(90,plain,
% 1.20/1.01 ((~(mighta(eqv, thm) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv))))) | ![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[89, 88])).
% 1.20/1.01 tff(91,plain,
% 1.20/1.01 (![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[90, 85])).
% 1.20/1.01 tff(92,plain,
% 1.20/1.01 (((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)))) <=> ((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(93,plain,
% 1.20/1.01 (((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv))) <=> ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(94,plain,
% 1.20/1.01 (((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)))) <=> ((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))))),
% 1.20/1.01 inference(monotonicity,[status(thm)],[93])).
% 1.20/1.01 tff(95,plain,
% 1.20/1.01 (((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)))) <=> ((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)))),
% 1.20/1.01 inference(transitivity,[status(thm)],[94, 92])).
% 1.20/1.01 tff(96,plain,
% 1.20/1.01 ((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)))),
% 1.20/1.01 inference(quant_inst,[status(thm)],[])).
% 1.20/1.01 tff(97,plain,
% 1.20/1.01 ((~![Ax: $i, C: $i] : ((~status(Ax, C, thm)) | (~status(Ax, C, eqv)))) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[96, 95])).
% 1.20/1.01 tff(98,plain,
% 1.20/1.01 (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[97, 91, 65])).
% 1.20/1.01 tff(99,plain,
% 1.20/1.01 ((~((~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))) | (~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm)),
% 1.20/1.01 inference(tautology,[status(thm)],[])).
% 1.20/1.01 tff(100,plain,
% 1.20/1.01 ((~((~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), thm))) | (~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))))),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[99, 98])).
% 1.20/1.01 tff(101,plain,
% 1.20/1.01 (~((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[100, 64])).
% 1.20/1.02 tff(102,plain,
% 1.20/1.02 (((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))) | (~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))),
% 1.20/1.02 inference(tautology,[status(thm)],[])).
% 1.20/1.02 tff(103,plain,
% 1.20/1.02 (~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[102, 101])).
% 1.20/1.02 tff(104,plain,
% 1.20/1.02 (((~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))),
% 1.20/1.02 inference(tautology,[status(thm)],[])).
% 1.20/1.02 tff(105,plain,
% 1.20/1.02 (model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[104, 101])).
% 1.20/1.02 tff(106,plain,
% 1.20/1.02 ((~(model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv)) <=> model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))) | (~model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))),
% 1.20/1.02 inference(tautology,[status(thm)],[])).
% 1.20/1.02 tff(107,plain,
% 1.20/1.02 (~(model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv)) <=> model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[106, 105, 103])).
% 1.20/1.02 tff(108,plain,
% 1.20/1.02 ((~![Ax: $i, C: $i] : (~((~(status(Ax, C, eqv) | ((~model(tptp_fun_I2_4(C, Ax), Ax)) <=> model(tptp_fun_I2_4(C, Ax), C)) | ![I1: $i] : (~model(I1, Ax)))) | (~((~status(Ax, C, eqv)) | (~((~model(tptp_fun_I1_0(Ax), Ax)) | (~![I2: $i] : (model(I2, Ax) <=> model(I2, C)))))))))) | (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | ((~model(tptp_fun_I2_4(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) <=> model(tptp_fun_I2_4(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))) | ![I1: $i] : (~model(I1, tptp_fun_Ax_25(eqv, eqv))))) | (~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv))))))))))),
% 1.20/1.02 inference(quant_inst,[status(thm)],[])).
% 1.20/1.02 tff(109,plain,
% 1.20/1.02 (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | ((~model(tptp_fun_I2_4(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) <=> model(tptp_fun_I2_4(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))) | ![I1: $i] : (~model(I1, tptp_fun_Ax_25(eqv, eqv))))) | (~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))))))))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[108, 19])).
% 1.20/1.02 tff(110,plain,
% 1.20/1.02 (((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | ((~model(tptp_fun_I2_4(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) <=> model(tptp_fun_I2_4(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv))) | ![I1: $i] : (~model(I1, tptp_fun_Ax_25(eqv, eqv))))) | (~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv))))))))) | ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))))))),
% 1.20/1.02 inference(tautology,[status(thm)],[])).
% 1.20/1.02 tff(111,plain,
% 1.20/1.02 ((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv))))))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[110, 109])).
% 1.20/1.02 tff(112,plain,
% 1.20/1.02 ((~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))))))) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv))))))),
% 1.20/1.02 inference(tautology,[status(thm)],[])).
% 1.20/1.02 tff(113,plain,
% 1.20/1.02 ((~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))))))) | (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv))))))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[112, 65])).
% 1.20/1.02 tff(114,plain,
% 1.20/1.02 (~((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[113, 111])).
% 1.20/1.02 tff(115,plain,
% 1.20/1.02 (((~model(tptp_fun_I1_0(tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv))) | (~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv))))) | ![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))),
% 1.20/1.02 inference(tautology,[status(thm)],[])).
% 1.20/1.02 tff(116,plain,
% 1.20/1.02 (![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[115, 114])).
% 1.20/1.02 tff(117,plain,
% 1.20/1.02 ((~![I2: $i] : (model(I2, tptp_fun_Ax_25(eqv, eqv)) <=> model(I2, tptp_fun_C_24(eqv, eqv)))) | (model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_Ax_25(eqv, eqv)) <=> model(tptp_fun_I1_3(tptp_fun_C_24(eqv, eqv), tptp_fun_Ax_25(eqv, eqv)), tptp_fun_C_24(eqv, eqv)))),
% 1.20/1.02 inference(quant_inst,[status(thm)],[])).
% 1.20/1.02 tff(118,plain,
% 1.20/1.02 ($false),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[117, 116, 107])).
% 1.20/1.02 tff(119,plain,(~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.02 tff(120,plain,
% 1.20/1.02 (^[S1: $i, S2: $i] : rewrite((~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))) <=> (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))))))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(121,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))) <=> ![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[120])).
% 1.20/1.02 tff(122,plain,
% 1.20/1.02 (^[S1: $i, S2: $i] : refl((~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))) <=> (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(123,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))) <=> ![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[122])).
% 1.20/1.02 tff(124,plain,
% 1.20/1.02 (^[S1: $i, S2: $i] : rewrite((~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))) <=> (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(125,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))) <=> ![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[124])).
% 1.20/1.02 tff(126,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))) <=> ![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))),
% 1.20/1.02 inference(transitivity,[status(thm)],[125, 123])).
% 1.20/1.02 tff(127,plain,
% 1.20/1.02 (^[S1: $i, S2: $i] : trans(monotonicity(rewrite((![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))) <=> (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))), ((((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2)) & (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))) <=> (((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2)) & (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))))), rewrite((((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2)) & (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))) <=> (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))), ((((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2)) & (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))) <=> (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(128,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2)) & (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2)))) <=> ![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[127])).
% 1.20/1.02 tff(129,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) <=> nevera(S1, S2)) <=> ![S1: $i, S2: $i] : (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) <=> nevera(S1, S2))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(130,plain,
% 1.20/1.02 (^[S1: $i, S2: $i] : rewrite((![Ax: $i, C: $i] : (status(Ax, C, S1) => (~status(Ax, C, S2))) <=> nevera(S1, S2)) <=> (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) <=> nevera(S1, S2)))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(131,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (![Ax: $i, C: $i] : (status(Ax, C, S1) => (~status(Ax, C, S2))) <=> nevera(S1, S2)) <=> ![S1: $i, S2: $i] : (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) <=> nevera(S1, S2))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[130])).
% 1.20/1.02 tff(132,axiom,(![S1: $i, S2: $i] : (![Ax: $i, C: $i] : (status(Ax, C, S1) => (~status(Ax, C, S2))) <=> nevera(S1, S2))), file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax','nevera')).
% 1.20/1.02 tff(133,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) <=> nevera(S1, S2))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[132, 131])).
% 1.20/1.02 tff(134,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) <=> nevera(S1, S2))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[133, 129])).
% 1.20/1.02 tff(135,plain,(
% 1.20/1.02 ![S1: $i, S2: $i] : (((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2)) & (![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))),
% 1.20/1.02 inference(skolemize,[status(sab)],[134])).
% 1.20/1.02 tff(136,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[135, 128])).
% 1.20/1.02 tff(137,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~(![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1))) | (~nevera(S1, S2))))))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[136, 126])).
% 1.20/1.02 tff(138,plain,
% 1.20/1.02 (![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[137, 121])).
% 1.20/1.02 tff(139,plain,
% 1.20/1.02 (((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))))))) <=> ((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv)))))))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(140,plain,
% 1.20/1.02 ((~((~((~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)))) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : ((~status(Ax, C, eqv)) | (~status(Ax, C, eqv))))))) <=> (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))))))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(141,plain,
% 1.20/1.02 (((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~((~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)))) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : ((~status(Ax, C, eqv)) | (~status(Ax, C, eqv)))))))) <=> ((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv)))))))),
% 1.20/1.02 inference(monotonicity,[status(thm)],[140])).
% 1.20/1.02 tff(142,plain,
% 1.20/1.02 (((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~((~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)))) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : ((~status(Ax, C, eqv)) | (~status(Ax, C, eqv)))))))) <=> ((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv)))))))),
% 1.20/1.02 inference(transitivity,[status(thm)],[141, 139])).
% 1.20/1.02 tff(143,plain,
% 1.20/1.02 ((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~((~((~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)) | (~status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv)))) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : ((~status(Ax, C, eqv)) | (~status(Ax, C, eqv)))))))),
% 1.20/1.03 inference(quant_inst,[status(thm)],[])).
% 1.20/1.03 tff(144,plain,
% 1.20/1.03 ((~![S1: $i, S2: $i] : (~((~((~((~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S2)) | (~status(tptp_fun_Ax_25(S2, S1), tptp_fun_C_24(S2, S1), S1)))) | nevera(S1, S2))) | (~((~nevera(S1, S2)) | ![Ax: $i, C: $i] : ((~status(Ax, C, S2)) | (~status(Ax, C, S1)))))))) | (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))))))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[143, 142])).
% 1.20/1.03 tff(145,plain,
% 1.20/1.03 (~((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv)))))),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[144, 138])).
% 1.20/1.03 tff(146,plain,
% 1.20/1.03 (((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))))) | (status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))),
% 1.20/1.03 inference(tautology,[status(thm)],[])).
% 1.20/1.03 tff(147,plain,
% 1.20/1.03 (status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[146, 145])).
% 1.20/1.03 tff(148,plain,
% 1.20/1.03 ((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv)),
% 1.20/1.03 inference(tautology,[status(thm)],[])).
% 1.20/1.03 tff(149,plain,
% 1.20/1.03 (status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[148, 147])).
% 1.20/1.03 tff(150,plain,
% 1.20/1.03 (nevera(eqv, eqv)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[149, 119])).
% 1.20/1.03 tff(151,plain,
% 1.20/1.03 (((~(status(tptp_fun_Ax_25(eqv, eqv), tptp_fun_C_24(eqv, eqv), eqv) | nevera(eqv, eqv))) | (~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))))) | ((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv)))),
% 1.20/1.03 inference(tautology,[status(thm)],[])).
% 1.20/1.03 tff(152,plain,
% 1.20/1.03 ((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[151, 145])).
% 1.20/1.03 tff(153,plain,
% 1.20/1.03 ((~((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv)))) | (~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))),
% 1.20/1.03 inference(tautology,[status(thm)],[])).
% 1.20/1.03 tff(154,plain,
% 1.20/1.03 ((~nevera(eqv, eqv)) | ![Ax: $i, C: $i] : (~status(Ax, C, eqv))),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[153, 152])).
% 1.20/1.03 tff(155,plain,
% 1.20/1.03 (![Ax: $i, C: $i] : (~status(Ax, C, eqv))),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[154, 150])).
% 1.20/1.03 tff(156,plain,
% 1.20/1.03 ((~![Ax: $i, C: $i] : (~status(Ax, C, eqv))) | (~status(C!33, C!33, eqv))),
% 1.20/1.03 inference(quant_inst,[status(thm)],[])).
% 1.20/1.03 tff(157,plain,
% 1.20/1.03 ($false),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[156, 155, 41])).
% 1.20/1.03 % SZS output end Proof
%------------------------------------------------------------------------------