TSTP Solution File: GRP418-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP418-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Mon Jun 24 07:00:15 EDT 2024
% Result : Unsatisfiable 0.35s 1.04s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c_60,plain,
inverse(a1) = sP0_iProver_def,
definition ).
cnf(c_61,plain,
multiply(sP0_iProver_def,a1) = sP1_iProver_def,
definition ).
cnf(c_62,plain,
inverse(b1) = sP2_iProver_def,
definition ).
cnf(c_63,plain,
multiply(sP2_iProver_def,b1) = sP3_iProver_def,
definition ).
cnf(c_64,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_50,c_62,c_63,c_60,c_61]) ).
cnf(c_108,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_61,c_49]) ).
cnf(c_109,plain,
inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(inverse(X0),inverse(multiply(b1,inverse(multiply(inverse(b1),b1)))))))),sP3_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_63,c_49]) ).
cnf(c_112,plain,
inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(inverse(X0),inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_109,c_62,c_63]) ).
cnf(c_113,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_108,c_60,c_61]) ).
cnf(c_124,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X1,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_49,c_112]) ).
cnf(c_138,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(sP0_iProver_def,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = a1,
inference(superposition,[status(thm)],[c_60,c_113]) ).
cnf(c_139,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(sP2_iProver_def,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = b1,
inference(superposition,[status(thm)],[c_62,c_113]) ).
cnf(c_143,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(superposition,[status(thm)],[c_113,c_113]) ).
cnf(c_144,plain,
inverse(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def))) = X0,
inference(demodulation,[status(thm)],[c_113,c_143]) ).
cnf(c_199,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(a1,inverse(multiply(sP0_iProver_def,a1)))))))),multiply(X0,a1)) = inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X1,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_60,c_124]) ).
cnf(c_200,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(b1,inverse(multiply(sP2_iProver_def,b1)))))))),multiply(X0,b1)) = inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X1,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_62,c_124]) ).
cnf(c_208,plain,
multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),sP1_iProver_def) = inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X0,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_61,c_124]) ).
cnf(c_212,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X0,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_208,c_60,c_61,c_143]) ).
cnf(c_213,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(b1,inverse(sP3_iProver_def))))))),multiply(X0,b1)) = inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X1,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_200,c_63]) ).
cnf(c_214,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(a1,inverse(sP1_iProver_def))))))),multiply(X0,a1)) = inverse(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X1,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_199,c_61]) ).
cnf(c_216,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_124,c_212]) ).
cnf(c_255,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(superposition,[status(thm)],[c_144,c_143]) ).
cnf(c_295,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(b1,inverse(sP3_iProver_def))))))),multiply(X0,b1)) = inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_213,c_212]) ).
cnf(c_562,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(b1,inverse(sP3_iProver_def))))))),multiply(X1,b1)),
inference(superposition,[status(thm)],[c_144,c_295]) ).
cnf(c_575,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(b1,inverse(sP3_iProver_def))))))),multiply(X0,b1)) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_562,c_255]) ).
cnf(c_605,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)),
inference(superposition,[status(thm)],[c_144,c_216]) ).
cnf(c_647,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_605,c_255]) ).
cnf(c_687,plain,
multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def) = multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(X0,inverse(multiply(b1,inverse(sP3_iProver_def))))))),sP3_iProver_def),
inference(superposition,[status(thm)],[c_63,c_575]) ).
cnf(c_689,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(a1,inverse(sP1_iProver_def))))))),multiply(X0,a1)) = inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_214,c_687]) ).
cnf(c_702,plain,
inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),multiply(X1,a1)),
inference(superposition,[status(thm)],[c_144,c_689]) ).
cnf(c_709,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),multiply(X0,a1)) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_702,c_255]) ).
cnf(c_742,plain,
multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(sP1_iProver_def))))))),inverse(multiply(X1,inverse(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)))))))),inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(superposition,[status(thm)],[c_143,c_647]) ).
cnf(c_883,plain,
multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(a1,inverse(sP1_iProver_def))))))),inverse(multiply(X0,inverse(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)))))))),a1) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(superposition,[status(thm)],[c_138,c_742]) ).
cnf(c_892,plain,
multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(inverse(X0)),inverse(multiply(a1,inverse(sP1_iProver_def))))))),inverse(multiply(X1,inverse(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)))))))),inverse(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(superposition,[status(thm)],[c_143,c_742]) ).
cnf(c_900,plain,
multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(inverse(X0)),inverse(multiply(a1,inverse(sP1_iProver_def))))))),inverse(multiply(X1,inverse(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)))))))),X0) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_892,c_144]) ).
cnf(c_966,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)))),multiply(X0,a1)) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)))),sP1_iProver_def),
inference(superposition,[status(thm)],[c_900,c_709]) ).
cnf(c_1004,plain,
multiply(inverse(multiply(X0,a1)),multiply(X0,a1)) = multiply(inverse(multiply(sP0_iProver_def,a1)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_138,c_966]) ).
cnf(c_1020,plain,
multiply(inverse(multiply(X0,a1)),multiply(X0,a1)) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_1004,c_61]) ).
cnf(c_1036,plain,
multiply(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)),multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def)) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_883,c_1020]) ).
cnf(c_1116,plain,
multiply(inverse(inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def))),inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_143,c_1036]) ).
cnf(c_1124,plain,
multiply(X0,inverse(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,inverse(multiply(a1,inverse(sP1_iProver_def))))))),sP1_iProver_def))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_1116,c_144]) ).
cnf(c_1141,plain,
multiply(inverse(sP1_iProver_def),sP1_iProver_def) = multiply(sP0_iProver_def,a1),
inference(superposition,[status(thm)],[c_138,c_1124]) ).
cnf(c_1142,plain,
multiply(inverse(sP1_iProver_def),sP1_iProver_def) = multiply(sP2_iProver_def,b1),
inference(superposition,[status(thm)],[c_139,c_1124]) ).
cnf(c_1156,plain,
multiply(inverse(sP1_iProver_def),sP1_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_1142,c_63]) ).
cnf(c_1157,plain,
multiply(inverse(sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1141,c_61]) ).
cnf(c_1193,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_1156,c_1157]) ).
cnf(c_1194,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1193,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP418-1 : TPTP v8.2.0. Released v2.6.0.
% 0.00/0.07 % Command : run_iprover %s %d THM
% 0.08/0.28 % Computer : n024.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu Jun 20 12:26:54 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.37 Running UEQ theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.35/1.04 % SZS status Started for theBenchmark.p
% 0.35/1.04 % SZS status Unsatisfiable for theBenchmark.p
% 0.35/1.04
% 0.35/1.04 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.35/1.04
% 0.35/1.04 ------ iProver source info
% 0.35/1.04
% 0.35/1.04 git: date: 2024-06-12 09:56:46 +0000
% 0.35/1.04 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.35/1.04 git: non_committed_changes: false
% 0.35/1.04
% 0.35/1.04 ------ Parsing...successful
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.35/1.04
% 0.35/1.04 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.35/1.04
% 0.35/1.04 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.35/1.04 ------ Proving...
% 0.35/1.04 ------ Problem Properties
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 clauses 6
% 0.35/1.04 conjectures 1
% 0.35/1.04 EPR 1
% 0.35/1.04 Horn 6
% 0.35/1.04 unary 6
% 0.35/1.04 binary 0
% 0.35/1.04 lits 6
% 0.35/1.04 lits eq 6
% 0.35/1.04 fd_pure 0
% 0.35/1.04 fd_pseudo 0
% 0.35/1.04 fd_cond 0
% 0.35/1.04 fd_pseudo_cond 0
% 0.35/1.04 AC symbols 0
% 0.35/1.04
% 0.35/1.04 ------ Input Options Time Limit: Unbounded
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 ------
% 0.35/1.04 Current options:
% 0.35/1.04 ------
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 ------ Proving...
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 % SZS status Unsatisfiable for theBenchmark.p
% 0.35/1.04
% 0.35/1.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.35/1.04
% 0.35/1.04
%------------------------------------------------------------------------------