TSTP Solution File: NUM841+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM841+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 : Sun Sep 18 13:12:12 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM841+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 15:42:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(vplus_type, type, (
% 0.19/0.39 vplus: ( $i * $i ) > $i)).
% 0.19/0.39 tff(tptp_fun_Vd196_0_type, type, (
% 0.19/0.39 tptp_fun_Vd196_0: ( $i * $i ) > $i)).
% 0.19/0.39 tff(vd345_type, type, (
% 0.19/0.39 vd345: $i)).
% 0.19/0.39 tff(vd347_type, type, (
% 0.19/0.39 vd347: $i)).
% 0.19/0.39 tff(vd344_type, type, (
% 0.19/0.39 vd344: $i)).
% 0.19/0.39 tff(vd348_type, type, (
% 0.19/0.39 vd348: $i)).
% 0.19/0.39 tff(greater_type, type, (
% 0.19/0.39 greater: ( $i * $i ) > $o)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 (^[Vd46: $i, Vd47: $i, Vd48: $i] : refl((vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48))) <=> (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 (![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48))) <=> ![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 (![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48))) <=> ![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(4,axiom,(![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''ass(cond(33, 0), 0)'')).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 (![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.39 tff(6,plain,(
% 0.19/0.39 ![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)))),
% 0.19/0.39 inference(skolemize,[status(sab)],[5])).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 ((~![Vd46: $i, Vd47: $i, Vd48: $i] : (vplus(vplus(Vd46, Vd47), Vd48) = vplus(Vd46, vplus(Vd47, Vd48)))) | (vplus(vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))) = vplus(vplus(vd345, vd348), vplus(tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (vplus(vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))) = vplus(vplus(vd345, vd348), vplus(tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (^[Vd193: $i, Vd194: $i] : refl((~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))) <=> (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))) <=> ![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[10])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 (^[Vd193: $i, Vd194: $i] : rewrite((~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))) <=> (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 (![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))) <=> ![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[12])).
% 0.19/0.40 tff(14,plain,
% 0.19/0.40 (![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))) <=> ![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[13, 11])).
% 0.19/0.40 tff(15,plain,
% 0.19/0.40 (^[Vd193: $i, Vd194: $i] : trans(monotonicity(rewrite((greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))) <=> (greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))), ((((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193)))) & (greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))) <=> (((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193)))) & (greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))))), rewrite((((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193)))) & (greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))) <=> (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))), ((((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193)))) & (greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))) <=> (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(16,plain,
% 0.19/0.40 (![Vd193: $i, Vd194: $i] : (((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193)))) & (greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196))))) <=> ![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[15])).
% 0.19/0.40 tff(17,plain,
% 0.19/0.40 (![Vd193: $i, Vd194: $i] : (greater(Vd194, Vd193) <=> ?[Vd196: $i] : (Vd194 = vplus(Vd193, Vd196))) <=> ![Vd193: $i, Vd194: $i] : (greater(Vd194, Vd193) <=> ?[Vd196: $i] : (Vd194 = vplus(Vd193, Vd196)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(18,axiom,(![Vd193: $i, Vd194: $i] : (greater(Vd194, Vd193) <=> ?[Vd196: $i] : (Vd194 = vplus(Vd193, Vd196)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''def(cond(conseq(axiom(3)), 11), 1)'')).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 (![Vd193: $i, Vd194: $i] : (greater(Vd194, Vd193) <=> ?[Vd196: $i] : (Vd194 = vplus(Vd193, Vd196)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.19/0.40 tff(20,plain,(
% 0.19/0.40 ![Vd193: $i, Vd194: $i] : (((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193)))) & (greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[19])).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 (![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 ((~![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))) | (~((~((~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)))))) | (~(greater(vplus(vd347, vd345), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd347, vd345) = vplus(vplus(vd345, vd348), Vd196)))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(24,plain,
% 0.19/0.40 (~((~((~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)))))) | (~(greater(vplus(vd347, vd345), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd347, vd345) = vplus(vplus(vd345, vd348), Vd196))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (((~((~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)))))) | (~(greater(vplus(vd347, vd345), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd347, vd345) = vplus(vplus(vd345, vd348), Vd196)))))) | ((~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(26,plain,
% 0.19/0.40 ((~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[25, 24])).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 (greater(vplus(vd347, vd345), vplus(vd348, vd345)) <=> greater(vplus(vd347, vd345), vplus(vd345, vd348))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 (greater(vplus(vd347, vd345), vplus(vd348, vd345)) <=> greater(vplus(vd347, vd345), vplus(vd348, vd345))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(29,axiom,(greater(vplus(vd347, vd345), vplus(vd348, vd345))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''holds(213, 351, 1)'')).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 (greater(vplus(vd347, vd345), vplus(vd348, vd345))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 (greater(vplus(vd347, vd345), vplus(vd345, vd348))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[30, 27])).
% 0.19/0.40 tff(32,plain,
% 0.19/0.40 ((~((~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)))))) | (~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(33,plain,
% 0.19/0.40 ((~((~greater(vplus(vd347, vd345), vplus(vd345, vd348))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)))))) | (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 (vplus(vd347, vd345) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[33, 26])).
% 0.19/0.40 tff(35,plain,
% 0.19/0.40 (vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))) = vplus(vd347, vd345)),
% 0.19/0.40 inference(symmetry,[status(thm)],[34])).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 (vplus(vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[35])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 (vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))) = vplus(vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348))), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))),
% 0.19/0.40 inference(symmetry,[status(thm)],[36])).
% 0.19/0.40 tff(38,plain,
% 0.19/0.40 ((~![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))) | (~((~((~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))))) | (~(greater(vplus(vd344, vd347), vplus(vd347, vd345)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd347, vd345), Vd196)))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 (~((~((~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))))) | (~(greater(vplus(vd344, vd347), vplus(vd347, vd345)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd347, vd345), Vd196))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[38, 22])).
% 0.19/0.40 tff(40,plain,
% 0.19/0.40 (((~((~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))))) | (~(greater(vplus(vd344, vd347), vplus(vd347, vd345)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd347, vd345), Vd196)))))) | ((~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 ((~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 (greater(vplus(vd344, vd347), vplus(vd345, vd347)) <=> greater(vplus(vd344, vd347), vplus(vd347, vd345))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(43,plain,
% 0.19/0.40 (greater(vplus(vd344, vd347), vplus(vd345, vd347)) <=> greater(vplus(vd344, vd347), vplus(vd345, vd347))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(44,axiom,(greater(vplus(vd344, vd347), vplus(vd345, vd347))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''holds(212, 350, 0)'')).
% 0.19/0.40 tff(45,plain,
% 0.19/0.40 (greater(vplus(vd344, vd347), vplus(vd345, vd347))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 (greater(vplus(vd344, vd347), vplus(vd347, vd345))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[45, 42])).
% 0.19/0.40 tff(47,plain,
% 0.19/0.40 ((~((~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))))) | (~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(48,plain,
% 0.19/0.40 ((~((~greater(vplus(vd344, vd347), vplus(vd347, vd345))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))))) | (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.19/0.40 tff(49,plain,
% 0.19/0.40 (vplus(vd344, vd347) = vplus(vplus(vd347, vd345), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[48, 41])).
% 0.19/0.40 tff(50,plain,
% 0.19/0.40 (vplus(vd344, vd347) = vplus(vplus(vd345, vd348), vplus(tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[49, 37, 9])).
% 0.19/0.40 tff(51,plain,
% 0.19/0.40 ((~![Vd193: $i, Vd194: $i] : (~((~((~greater(Vd194, Vd193)) | (Vd194 = vplus(Vd193, tptp_fun_Vd196_0(Vd194, Vd193))))) | (~(greater(Vd194, Vd193) | ![Vd196: $i] : (~(Vd194 = vplus(Vd193, Vd196)))))))) | (~((~((~greater(vplus(vd344, vd347), vplus(vd345, vd348))) | (vplus(vd344, vd347) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd345, vd348)))))) | (~(greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196)))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(52,plain,
% 0.19/0.41 (~((~((~greater(vplus(vd344, vd347), vplus(vd345, vd348))) | (vplus(vd344, vd347) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd345, vd348)))))) | (~(greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196))))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[51, 22])).
% 0.19/0.41 tff(53,plain,
% 0.19/0.41 (((~((~greater(vplus(vd344, vd347), vplus(vd345, vd348))) | (vplus(vd344, vd347) = vplus(vplus(vd345, vd348), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd345, vd348)))))) | (~(greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196)))))) | (greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(54,plain,
% 0.19/0.41 (greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[53, 52])).
% 0.19/0.41 tff(55,plain,
% 0.19/0.41 ((~greater(vplus(vd344, vd347), vplus(vd345, vd348))) <=> (~greater(vplus(vd344, vd347), vplus(vd345, vd348)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(56,axiom,(~greater(vplus(vd344, vd347), vplus(vd345, vd348))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''holds(214, 352, 0)'')).
% 0.19/0.41 tff(57,plain,
% 0.19/0.41 (~greater(vplus(vd344, vd347), vplus(vd345, vd348))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.19/0.41 tff(58,plain,
% 0.19/0.41 ((~(greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196))))) | greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(59,plain,
% 0.19/0.41 ((~(greater(vplus(vd344, vd347), vplus(vd345, vd348)) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196))))) | ![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.19/0.41 tff(60,plain,
% 0.19/0.41 (![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[59, 54])).
% 0.19/0.41 tff(61,plain,
% 0.19/0.41 ((~![Vd196: $i] : (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), Vd196)))) | (~(vplus(vd344, vd347) = vplus(vplus(vd345, vd348), vplus(tptp_fun_Vd196_0(vplus(vd347, vd345), vplus(vd345, vd348)), tptp_fun_Vd196_0(vplus(vd344, vd347), vplus(vd347, vd345))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(62,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[61, 60, 50])).
% 0.19/0.41 % SZS output end Proof
%------------------------------------------------------------------------------