TSTP Solution File: GRP754-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP754-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Mon Jun 24 07:02:06 EDT 2024
% Result : Unsatisfiable 19.31s 3.14s
% Output : CNFRefutation 19.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c_53,plain,
mult(mult(rd(X0,X0),X1),mult(X0,X2)) = mult(X0,mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,plain,
mult(mult(X0,X1),mult(X2,ld(X1,X1))) = mult(mult(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c_55,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_81,plain,
mult(a,a) = sP0_iProver_def,
definition ).
cnf(c_82,plain,
mult(b,c) = sP1_iProver_def,
definition ).
cnf(c_83,plain,
mult(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_84,plain,
mult(a,b) = sP3_iProver_def,
definition ).
cnf(c_85,plain,
mult(a,c) = sP4_iProver_def,
definition ).
cnf(c_86,plain,
mult(sP3_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_87,negated_conjecture,
sP2_iProver_def != sP5_iProver_def,
inference(demodulation,[status(thm)],[c_55,c_85,c_84,c_86,c_82,c_81,c_83]) ).
cnf(c_148,plain,
ld(a,sP4_iProver_def) = c,
inference(superposition,[status(thm)],[c_85,c_50]) ).
cnf(c_151,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_159,plain,
mult(X0,mult(ld(rd(X0,X0),X1),X2)) = mult(X1,mult(X0,X2)),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_160,plain,
mult(mult(rd(X0,X0),X1),X2) = mult(X0,mult(X1,ld(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_169,plain,
rd(mult(X0,mult(X1,X2)),mult(X0,X2)) = mult(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_179,plain,
mult(sP3_iProver_def,mult(X0,ld(b,b))) = mult(mult(a,X0),b),
inference(superposition,[status(thm)],[c_84,c_54]) ).
cnf(c_180,plain,
mult(sP4_iProver_def,mult(X0,ld(c,c))) = mult(mult(a,X0),c),
inference(superposition,[status(thm)],[c_85,c_54]) ).
cnf(c_182,plain,
mult(sP5_iProver_def,mult(X0,ld(sP4_iProver_def,sP4_iProver_def))) = mult(mult(sP3_iProver_def,X0),sP4_iProver_def),
inference(superposition,[status(thm)],[c_86,c_54]) ).
cnf(c_183,plain,
mult(mult(X0,rd(X1,ld(X2,X2))),X2) = mult(mult(X0,X2),X1),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_185,plain,
rd(mult(mult(X0,X1),X2),mult(X1,ld(X2,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_186,plain,
ld(mult(X0,X1),mult(mult(X0,X2),X1)) = mult(X2,ld(X1,X1)),
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_258,plain,
ld(sP3_iProver_def,mult(mult(a,X0),b)) = mult(X0,ld(b,b)),
inference(superposition,[status(thm)],[c_179,c_50]) ).
cnf(c_264,plain,
ld(sP4_iProver_def,mult(mult(a,X0),c)) = mult(X0,ld(c,c)),
inference(superposition,[status(thm)],[c_180,c_50]) ).
cnf(c_276,plain,
ld(sP5_iProver_def,mult(mult(sP3_iProver_def,X0),sP4_iProver_def)) = mult(X0,ld(sP4_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_182,c_50]) ).
cnf(c_290,plain,
ld(X0,mult(X1,mult(X0,X2))) = mult(ld(rd(X0,X0),X1),X2),
inference(superposition,[status(thm)],[c_159,c_50]) ).
cnf(c_335,plain,
rd(mult(X0,X1),mult(X0,ld(X2,X1))) = mult(rd(X0,X0),X2),
inference(superposition,[status(thm)],[c_49,c_169]) ).
cnf(c_360,plain,
rd(mult(a,mult(X0,c)),sP4_iProver_def) = mult(rd(a,a),X0),
inference(superposition,[status(thm)],[c_85,c_169]) ).
cnf(c_881,plain,
ld(sP3_iProver_def,mult(sP0_iProver_def,b)) = mult(a,ld(b,b)),
inference(superposition,[status(thm)],[c_81,c_258]) ).
cnf(c_900,plain,
mult(ld(sP3_iProver_def,X0),ld(sP4_iProver_def,sP4_iProver_def)) = ld(sP5_iProver_def,mult(X0,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_49,c_276]) ).
cnf(c_997,plain,
mult(rd(a,a),b) = rd(mult(a,sP1_iProver_def),sP4_iProver_def),
inference(superposition,[status(thm)],[c_82,c_360]) ).
cnf(c_1029,plain,
mult(X0,rd(X1,ld(X2,X2))) = rd(mult(mult(X0,X2),X1),X2),
inference(superposition,[status(thm)],[c_183,c_52]) ).
cnf(c_1080,plain,
rd(mult(X0,X1),mult(X2,ld(X1,X1))) = mult(rd(X0,X2),X1),
inference(superposition,[status(thm)],[c_51,c_185]) ).
cnf(c_1648,plain,
ld(sP4_iProver_def,mult(ld(sP3_iProver_def,mult(sP0_iProver_def,b)),c)) = mult(ld(b,b),ld(c,c)),
inference(superposition,[status(thm)],[c_881,c_264]) ).
cnf(c_1740,plain,
mult(rd(mult(a,sP1_iProver_def),sP4_iProver_def),X0) = mult(a,mult(b,ld(a,X0))),
inference(superposition,[status(thm)],[c_997,c_160]) ).
cnf(c_1879,plain,
ld(mult(X0,X1),mult(X2,X1)) = mult(ld(X0,X2),ld(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_186]) ).
cnf(c_1883,plain,
ld(mult(a,X0),mult(sP0_iProver_def,X0)) = mult(a,ld(X0,X0)),
inference(superposition,[status(thm)],[c_81,c_186]) ).
cnf(c_1930,plain,
ld(sP4_iProver_def,mult(ld(sP3_iProver_def,mult(sP0_iProver_def,b)),c)) = ld(mult(b,c),mult(b,c)),
inference(demodulation,[status(thm)],[c_1648,c_1879]) ).
cnf(c_1931,plain,
ld(sP4_iProver_def,mult(ld(sP3_iProver_def,mult(sP0_iProver_def,b)),c)) = ld(sP1_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_1930,c_82]) ).
cnf(c_2641,plain,
ld(mult(a,sP1_iProver_def),sP2_iProver_def) = mult(a,ld(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_83,c_1883]) ).
cnf(c_2731,plain,
mult(ld(sP3_iProver_def,mult(sP0_iProver_def,b)),c) = mult(sP4_iProver_def,ld(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_1931,c_49]) ).
cnf(c_2909,plain,
mult(mult(X0,sP1_iProver_def),ld(mult(a,sP1_iProver_def),sP2_iProver_def)) = mult(mult(X0,a),sP1_iProver_def),
inference(superposition,[status(thm)],[c_2641,c_54]) ).
cnf(c_3038,plain,
rd(mult(sP4_iProver_def,ld(sP1_iProver_def,sP1_iProver_def)),c) = ld(sP3_iProver_def,mult(sP0_iProver_def,b)),
inference(superposition,[status(thm)],[c_2731,c_52]) ).
cnf(c_3623,plain,
rd(ld(X0,mult(X1,mult(X0,X2))),X2) = ld(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_290,c_52]) ).
cnf(c_3804,plain,
rd(mult(a,b),ld(sP3_iProver_def,mult(sP0_iProver_def,b))) = mult(rd(a,a),b),
inference(superposition,[status(thm)],[c_881,c_335]) ).
cnf(c_3893,plain,
rd(sP3_iProver_def,ld(sP3_iProver_def,mult(sP0_iProver_def,b))) = rd(mult(a,sP1_iProver_def),sP4_iProver_def),
inference(demodulation,[status(thm)],[c_3804,c_84,c_997]) ).
cnf(c_5295,plain,
ld(X0,rd(mult(mult(X0,X1),X2),X1)) = rd(X2,ld(X1,X1)),
inference(superposition,[status(thm)],[c_1029,c_50]) ).
cnf(c_5798,plain,
rd(sP5_iProver_def,mult(X0,ld(sP4_iProver_def,sP4_iProver_def))) = mult(rd(sP3_iProver_def,X0),sP4_iProver_def),
inference(superposition,[status(thm)],[c_86,c_1080]) ).
cnf(c_6542,plain,
ld(mult(rd(sP3_iProver_def,X0),sP4_iProver_def),sP5_iProver_def) = mult(X0,ld(sP4_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_5798,c_151]) ).
cnf(c_8039,plain,
rd(ld(a,mult(X0,sP4_iProver_def)),c) = ld(rd(a,a),X0),
inference(superposition,[status(thm)],[c_85,c_3623]) ).
cnf(c_8672,plain,
ld(rd(a,a),rd(X0,sP4_iProver_def)) = rd(ld(a,X0),c),
inference(superposition,[status(thm)],[c_51,c_8039]) ).
cnf(c_8725,plain,
ld(mult(rd(mult(a,sP1_iProver_def),sP4_iProver_def),sP4_iProver_def),sP5_iProver_def) = mult(ld(sP3_iProver_def,mult(sP0_iProver_def,b)),ld(sP4_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_3893,c_6542]) ).
cnf(c_8832,plain,
ld(sP5_iProver_def,mult(mult(sP0_iProver_def,b),sP4_iProver_def)) = ld(mult(a,sP1_iProver_def),sP5_iProver_def),
inference(demodulation,[status(thm)],[c_8725,c_82,c_148,c_900,c_1740]) ).
cnf(c_22666,plain,
rd(ld(a,mult(mult(rd(a,a),sP4_iProver_def),X0)),c) = rd(X0,ld(sP4_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_5295,c_8672]) ).
cnf(c_22696,plain,
rd(mult(sP4_iProver_def,ld(a,X0)),c) = rd(X0,ld(sP4_iProver_def,sP4_iProver_def)),
inference(demodulation,[status(thm)],[c_22666,c_50,c_160]) ).
cnf(c_25168,plain,
rd(mult(a,X0),ld(sP4_iProver_def,sP4_iProver_def)) = rd(mult(sP4_iProver_def,X0),c),
inference(superposition,[status(thm)],[c_50,c_22696]) ).
cnf(c_26065,plain,
mult(rd(mult(sP4_iProver_def,X0),c),ld(sP4_iProver_def,sP4_iProver_def)) = mult(a,X0),
inference(superposition,[status(thm)],[c_25168,c_51]) ).
cnf(c_27380,plain,
mult(ld(sP3_iProver_def,mult(sP0_iProver_def,b)),ld(sP4_iProver_def,sP4_iProver_def)) = mult(a,ld(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_3038,c_26065]) ).
cnf(c_27475,plain,
ld(mult(a,sP1_iProver_def),sP2_iProver_def) = ld(mult(a,sP1_iProver_def),sP5_iProver_def),
inference(demodulation,[status(thm)],[c_27380,c_900,c_2641,c_8832]) ).
cnf(c_27664,plain,
mult(mult(a,sP1_iProver_def),ld(mult(a,sP1_iProver_def),sP2_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_27475,c_49]) ).
cnf(c_28772,plain,
sP2_iProver_def = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_27664,c_81,c_83,c_2909]) ).
cnf(c_28773,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_28772,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP754-1 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n018.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 : Thu Jun 20 12:40:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.31/3.14 % SZS status Started for theBenchmark.p
% 19.31/3.14 % SZS status Unsatisfiable for theBenchmark.p
% 19.31/3.14
% 19.31/3.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.31/3.14
% 19.31/3.14 ------ iProver source info
% 19.31/3.14
% 19.31/3.14 git: date: 2024-06-12 09:56:46 +0000
% 19.31/3.14 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 19.31/3.14 git: non_committed_changes: false
% 19.31/3.14
% 19.31/3.14 ------ Parsing...successful
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 19.31/3.14
% 19.31/3.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 19.31/3.14
% 19.31/3.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 19.31/3.14 ------ Proving...
% 19.31/3.14 ------ Problem Properties
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14 clauses 13
% 19.31/3.14 conjectures 1
% 19.31/3.14 EPR 1
% 19.31/3.14 Horn 13
% 19.31/3.14 unary 13
% 19.31/3.14 binary 0
% 19.31/3.14 lits 13
% 19.31/3.14 lits eq 13
% 19.31/3.14 fd_pure 0
% 19.31/3.14 fd_pseudo 0
% 19.31/3.14 fd_cond 0
% 19.31/3.14 fd_pseudo_cond 0
% 19.31/3.14 AC symbols 0
% 19.31/3.14
% 19.31/3.14 ------ Input Options Time Limit: Unbounded
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14 ------
% 19.31/3.14 Current options:
% 19.31/3.14 ------
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14 ------ Proving...
% 19.31/3.14
% 19.31/3.14
% 19.31/3.14 % SZS status Unsatisfiable for theBenchmark.p
% 19.31/3.14
% 19.31/3.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.31/3.15
% 19.31/3.15
%------------------------------------------------------------------------------