TSTP Solution File: SWW951+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW951+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 : Thu Sep 29 21:00:21 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW951+1 : TPTP v8.1.0. Released v7.4.0.
% 0.12/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 00:08:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.18/0.34 Usage: tptp [options] [-file:]file
% 0.18/0.34 -h, -? prints this message.
% 0.18/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.18/0.34 -m, -model generate model.
% 0.18/0.34 -p, -proof generate proof.
% 0.18/0.34 -c, -core generate unsat core of named formulas.
% 0.18/0.34 -st, -statistics display statistics.
% 0.18/0.34 -t:timeout set timeout (in second).
% 0.18/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.18/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.18/0.34 -<param>:<value> configuration parameter and value.
% 0.18/0.34 -o:<output-file> file to place output in.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 % SZS output start Proof
% 0.19/0.47 tff(pred_attacker_type, type, (
% 0.19/0.47 pred_attacker: $i > $o)).
% 0.19/0.47 tff(tuple_T_in_1_type, type, (
% 0.19/0.47 tuple_T_in_1: $i > $i)).
% 0.19/0.47 tff(constr_ZERO_type, type, (
% 0.19/0.47 constr_ZERO: $i)).
% 0.19/0.47 tff(tuple_T_in_3_type, type, (
% 0.19/0.47 tuple_T_in_3: $i > $i)).
% 0.19/0.47 tff(tuple_T_out_4_type, type, (
% 0.19/0.47 tuple_T_out_4: $i > $i)).
% 0.19/0.47 tff(name_objective_type, type, (
% 0.19/0.47 name_objective: $i)).
% 0.19/0.47 tff(1,assumption,(~pred_attacker(tuple_T_in_3(constr_ZERO))), introduced(assumption)).
% 0.19/0.47 tff(2,plain,
% 0.19/0.47 (^[VAR_V_44: $i] : refl(((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44))) <=> ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(3,plain,
% 0.19/0.47 (![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44))) <=> ![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[2])).
% 0.19/0.47 tff(4,plain,
% 0.19/0.47 (![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44))) <=> ![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(5,plain,
% 0.19/0.47 (^[VAR_V_44: $i] : rewrite((pred_attacker(VAR_V_44) => pred_attacker(tuple_T_in_3(VAR_V_44))) <=> ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(6,plain,
% 0.19/0.47 (![VAR_V_44: $i] : (pred_attacker(VAR_V_44) => pred_attacker(tuple_T_in_3(VAR_V_44))) <=> ![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[5])).
% 0.19/0.47 tff(7,axiom,(![VAR_V_44: $i] : (pred_attacker(VAR_V_44) => pred_attacker(tuple_T_in_3(VAR_V_44)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax49')).
% 0.19/0.47 tff(8,plain,
% 0.19/0.47 (![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.47 tff(9,plain,
% 0.19/0.47 (![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.19/0.47 tff(10,plain,(
% 0.19/0.47 ![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[9])).
% 0.19/0.47 tff(11,plain,
% 0.19/0.47 (![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.19/0.47 tff(12,plain,
% 0.19/0.47 (pred_attacker(constr_ZERO) <=> pred_attacker(constr_ZERO)),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(13,axiom,(pred_attacker(constr_ZERO)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax44')).
% 0.19/0.47 tff(14,plain,
% 0.19/0.47 (pred_attacker(constr_ZERO)),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.47 tff(15,plain,
% 0.19/0.47 (((~![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))) | ((~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_3(constr_ZERO)))) <=> ((~![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))) | (~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_3(constr_ZERO)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(16,plain,
% 0.19/0.47 ((~![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))) | ((~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_3(constr_ZERO)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(17,plain,
% 0.19/0.47 ((~![VAR_V_44: $i] : ((~pred_attacker(VAR_V_44)) | pred_attacker(tuple_T_in_3(VAR_V_44)))) | (~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_3(constr_ZERO))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.19/0.47 tff(18,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[17, 14, 11, 1])).
% 0.19/0.47 tff(19,plain,(pred_attacker(tuple_T_in_3(constr_ZERO))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(20,plain,
% 0.19/0.47 ((~pred_attacker(name_objective)) <=> (~pred_attacker(name_objective))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(21,axiom,(~pred_attacker(name_objective)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co0')).
% 0.19/0.47 tff(22,plain,
% 0.19/0.47 (~pred_attacker(name_objective)),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.19/0.47 tff(23,plain,
% 0.19/0.47 (^[VAR_V_35: $i] : refl((pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35)))) <=> (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(24,plain,
% 0.19/0.47 (![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35)))) <=> ![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[23])).
% 0.19/0.47 tff(25,plain,
% 0.19/0.47 (![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35)))) <=> ![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(26,plain,
% 0.19/0.47 (^[VAR_V_35: $i] : rewrite((pred_attacker(tuple_T_out_4(VAR_V_35)) => pred_attacker(VAR_V_35)) <=> (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(27,plain,
% 0.19/0.47 (![VAR_V_35: $i] : (pred_attacker(tuple_T_out_4(VAR_V_35)) => pred_attacker(VAR_V_35)) <=> ![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[26])).
% 0.19/0.47 tff(28,axiom,(![VAR_V_35: $i] : (pred_attacker(tuple_T_out_4(VAR_V_35)) => pred_attacker(VAR_V_35))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax46')).
% 0.19/0.47 tff(29,plain,
% 0.19/0.47 (![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.19/0.47 tff(30,plain,
% 0.19/0.47 (![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.19/0.47 tff(31,plain,(
% 0.19/0.47 ![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))),
% 0.19/0.47 inference(skolemize,[status(sab)],[30])).
% 0.19/0.47 tff(32,plain,
% 0.19/0.47 (![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.19/0.47 tff(33,plain,
% 0.19/0.47 (((~![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_T_out_4(name_objective))))) <=> ((~![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_T_out_4(name_objective))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(34,plain,
% 0.19/0.47 ((~![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))) | (pred_attacker(name_objective) | (~pred_attacker(tuple_T_out_4(name_objective))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(35,plain,
% 0.19/0.47 ((~![VAR_V_35: $i] : (pred_attacker(VAR_V_35) | (~pred_attacker(tuple_T_out_4(VAR_V_35))))) | pred_attacker(name_objective) | (~pred_attacker(tuple_T_out_4(name_objective)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.19/0.47 tff(36,plain,
% 0.19/0.47 (~pred_attacker(tuple_T_out_4(name_objective))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[35, 32, 22])).
% 0.19/0.47 tff(37,plain,
% 0.19/0.47 (^[VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : refl((pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)))) <=> (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(38,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)))) <=> ![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[37])).
% 0.19/0.47 tff(39,plain,
% 0.19/0.47 (^[VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : trans(monotonicity(trans(monotonicity(rewrite((pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))) <=> (~((~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)))))), ((~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306)))) <=> (~(~((~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)))))))), rewrite((~(~((~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)))))) <=> ((~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))), ((~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306)))) <=> ((~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)))))), ((pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))))) <=> (pred_attacker(tuple_T_out_4(name_objective)) | ((~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))))), rewrite((pred_attacker(tuple_T_out_4(name_objective)) | ((~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))) <=> (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))), ((pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))))) <=> (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(40,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))))) <=> ![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[39])).
% 0.19/0.47 tff(41,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))))) <=> ![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(42,plain,
% 0.19/0.47 (^[VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : rewrite(((pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))) => pred_attacker(tuple_T_out_4(name_objective))) <=> (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(43,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : ((pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))) => pred_attacker(tuple_T_out_4(name_objective))) <=> ![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306)))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[42])).
% 0.19/0.47 tff(44,axiom,(![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : ((pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306))) => pred_attacker(tuple_T_out_4(name_objective)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax64')).
% 0.19/0.47 tff(45,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306)))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.19/0.47 tff(46,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306)))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.19/0.47 tff(47,plain,(
% 0.19/0.47 ![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~(pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305)) & pred_attacker(tuple_T_in_1(VAR_R1_10X306)))))),
% 0.19/0.47 inference(skolemize,[status(sab)],[46])).
% 0.19/0.47 tff(48,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.19/0.47 tff(49,plain,
% 0.19/0.47 (![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[48, 38])).
% 0.19/0.47 tff(50,plain,
% 0.19/0.47 (((~![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))) | (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(constr_ZERO))) | (~pred_attacker(tuple_T_in_3(constr_ZERO))))) <=> ((~![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))) | pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(constr_ZERO))) | (~pred_attacker(tuple_T_in_3(constr_ZERO))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(51,plain,
% 0.19/0.47 ((~![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))) | (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(constr_ZERO))) | (~pred_attacker(tuple_T_in_3(constr_ZERO))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(52,plain,
% 0.19/0.47 ((~![VAR_K_XOR_K1_10X305: $i, VAR_R1_10X306: $i] : (pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(VAR_R1_10X306))) | (~pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))))) | pred_attacker(tuple_T_out_4(name_objective)) | (~pred_attacker(tuple_T_in_1(constr_ZERO))) | (~pred_attacker(tuple_T_in_3(constr_ZERO)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.19/0.47 tff(53,plain,
% 0.19/0.47 ((~pred_attacker(tuple_T_in_1(constr_ZERO))) | (~pred_attacker(tuple_T_in_3(constr_ZERO)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[52, 49, 36])).
% 0.19/0.47 tff(54,plain,
% 0.19/0.47 (~pred_attacker(tuple_T_in_1(constr_ZERO))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[53, 19])).
% 0.19/0.47 tff(55,plain,
% 0.19/0.47 (^[VAR_V_50X30: $i] : refl(((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30))) <=> ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(56,plain,
% 0.19/0.47 (![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30))) <=> ![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[55])).
% 0.19/0.47 tff(57,plain,
% 0.19/0.47 (![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30))) <=> ![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(58,plain,
% 0.19/0.47 (^[VAR_V_50X30: $i] : rewrite((pred_attacker(VAR_V_50X30) => pred_attacker(tuple_T_in_1(VAR_V_50X30))) <=> ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(59,plain,
% 0.19/0.47 (![VAR_V_50X30: $i] : (pred_attacker(VAR_V_50X30) => pred_attacker(tuple_T_in_1(VAR_V_50X30))) <=> ![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[58])).
% 0.19/0.47 tff(60,axiom,(![VAR_V_50X30: $i] : (pred_attacker(VAR_V_50X30) => pred_attacker(tuple_T_in_1(VAR_V_50X30)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax51')).
% 0.19/0.47 tff(61,plain,
% 0.19/0.47 (![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.19/0.47 tff(62,plain,
% 0.19/0.47 (![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.19/0.47 tff(63,plain,(
% 0.19/0.47 ![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[62])).
% 0.19/0.47 tff(64,plain,
% 0.19/0.47 (![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.19/0.47 tff(65,plain,
% 0.19/0.47 (((~![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))) | ((~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_1(constr_ZERO)))) <=> ((~![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))) | (~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_1(constr_ZERO)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(66,plain,
% 0.19/0.47 ((~![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))) | ((~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_1(constr_ZERO)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(67,plain,
% 0.19/0.47 ((~![VAR_V_50X30: $i] : ((~pred_attacker(VAR_V_50X30)) | pred_attacker(tuple_T_in_1(VAR_V_50X30)))) | (~pred_attacker(constr_ZERO)) | pred_attacker(tuple_T_in_1(constr_ZERO))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.19/0.47 tff(68,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[67, 14, 64, 54])).
% 0.19/0.47 % SZS output end Proof
%------------------------------------------------------------------------------