TSTP Solution File: GRP063-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Fri May 3 02:20:50 EDT 2024
% Result : Unsatisfiable 4.20s 1.10s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
divide(divide(X0,X0),X1) = inverse(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_68,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_69,plain,
divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_49,c_51]) ).
cnf(c_70,plain,
divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(demodulation,[status(thm)],[c_69,c_51]) ).
cnf(c_81,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_82,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_83,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_84,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_85,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_86,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_87,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_88,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_89,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_90,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_91,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_92,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_52,c_90,c_91,c_88,c_89,c_86,c_87,c_84,c_85,c_81,c_82,c_83]) ).
cnf(c_163,plain,
divide(X0,sP7_iProver_def) = multiply(X0,a1),
inference(superposition,[status(thm)],[c_88,c_68]) ).
cnf(c_164,plain,
divide(X0,sP9_iProver_def) = multiply(X0,b1),
inference(superposition,[status(thm)],[c_90,c_68]) ).
cnf(c_165,plain,
divide(X0,sP0_iProver_def) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_81,c_68]) ).
cnf(c_166,plain,
divide(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_82,c_165]) ).
cnf(c_170,plain,
divide(sP7_iProver_def,sP7_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_89,c_163]) ).
cnf(c_171,plain,
divide(sP9_iProver_def,sP9_iProver_def) = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_91,c_164]) ).
cnf(c_175,plain,
divide(sP1_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_166,c_51]) ).
cnf(c_176,plain,
divide(sP8_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_170,c_51]) ).
cnf(c_177,plain,
divide(sP10_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_171,c_51]) ).
cnf(c_178,plain,
divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_51,c_51]) ).
cnf(c_187,plain,
divide(inverse(sP1_iProver_def),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_175,c_51]) ).
cnf(c_188,plain,
multiply(sP1_iProver_def,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_175,c_68]) ).
cnf(c_192,plain,
divide(inverse(sP8_iProver_def),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_176,c_51]) ).
cnf(c_199,plain,
divide(inverse(sP10_iProver_def),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_177,c_51]) ).
cnf(c_219,plain,
divide(X0,multiply(sP1_iProver_def,X1)) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_188,c_68]) ).
cnf(c_233,plain,
divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_51,c_70]) ).
cnf(c_236,plain,
divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_187,c_70]) ).
cnf(c_315,plain,
divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_192,c_70]) ).
cnf(c_320,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_315,c_236]) ).
cnf(c_324,plain,
( a2 != sP2_iProver_def
| sP1_iProver_def != sP10_iProver_def
| sP4_iProver_def != sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_92,c_320]) ).
cnf(c_349,plain,
divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_199,c_70]) ).
cnf(c_354,plain,
sP1_iProver_def = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_349,c_236]) ).
cnf(c_366,plain,
( a2 != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_324,c_324,c_354]) ).
cnf(c_457,plain,
divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = divide(X2,X2),
inference(superposition,[status(thm)],[c_178,c_70]) ).
cnf(c_460,plain,
divide(X0,X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_457,c_236]) ).
cnf(c_479,plain,
divide(X0,divide(divide(inverse(X1),inverse(X0)),sP1_iProver_def)) = X1,
inference(superposition,[status(thm)],[c_460,c_70]) ).
cnf(c_480,plain,
divide(X0,sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_460,c_70]) ).
cnf(c_482,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_460,c_175]) ).
cnf(c_526,plain,
divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_482,c_68]) ).
cnf(c_527,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_526,c_480]) ).
cnf(c_658,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_233,c_68]) ).
cnf(c_663,plain,
multiply(X0,inverse(X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_527,c_658]) ).
cnf(c_782,plain,
multiply(X0,sP1_iProver_def) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_663,c_658]) ).
cnf(c_787,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_782,c_188,c_527]) ).
cnf(c_790,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_188,c_787]) ).
cnf(c_792,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_219,c_790]) ).
cnf(c_793,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_83,c_790]) ).
cnf(c_794,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_366,c_793]) ).
cnf(c_811,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_787,c_658]) ).
cnf(c_813,plain,
divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_787,c_70]) ).
cnf(c_2081,plain,
multiply(inverse(a3),sP3_iProver_def) = b3,
inference(superposition,[status(thm)],[c_84,c_811]) ).
cnf(c_2083,plain,
multiply(inverse(sP3_iProver_def),sP4_iProver_def) = c3,
inference(superposition,[status(thm)],[c_85,c_811]) ).
cnf(c_2118,plain,
multiply(inverse(inverse(sP3_iProver_def)),c3) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_2083,c_811]) ).
cnf(c_2228,plain,
divide(X0,multiply(inverse(X1),X0)) = X1,
inference(demodulation,[status(thm)],[c_479,c_68,c_480]) ).
cnf(c_2240,plain,
divide(multiply(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_811,c_2228]) ).
cnf(c_2241,plain,
divide(sP3_iProver_def,b3) = a3,
inference(superposition,[status(thm)],[c_2081,c_2228]) ).
cnf(c_2248,plain,
divide(X0,multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_787,c_2228]) ).
cnf(c_2389,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_2240,c_68]) ).
cnf(c_2391,plain,
multiply(divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_2389,c_792]) ).
cnf(c_3199,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_2391,c_2248]) ).
cnf(c_3319,plain,
divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_3199]) ).
cnf(c_3781,plain,
divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_3319,c_68]) ).
cnf(c_4617,plain,
divide(X0,divide(divide(inverse(X1),X2),X3)) = multiply(X0,multiply(X3,multiply(X2,X1))),
inference(superposition,[status(thm)],[c_3319,c_3781]) ).
cnf(c_4674,plain,
multiply(inverse(X0),multiply(divide(X0,X1),multiply(X1,X2))) = X2,
inference(demodulation,[status(thm)],[c_813,c_4617]) ).
cnf(c_4717,plain,
multiply(inverse(X0),multiply(divide(X0,b3),sP5_iProver_def)) = c3,
inference(superposition,[status(thm)],[c_86,c_4674]) ).
cnf(c_5075,plain,
multiply(inverse(sP3_iProver_def),multiply(a3,sP5_iProver_def)) = c3,
inference(superposition,[status(thm)],[c_2241,c_4717]) ).
cnf(c_5081,plain,
multiply(inverse(sP3_iProver_def),sP6_iProver_def) = c3,
inference(light_normalisation,[status(thm)],[c_5075,c_87]) ).
cnf(c_5095,plain,
multiply(inverse(inverse(sP3_iProver_def)),c3) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_5081,c_811]) ).
cnf(c_5098,plain,
sP4_iProver_def = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_5095,c_2118]) ).
cnf(c_5099,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5098,c_794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.05/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 2 23:56:58 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.20/1.10 % SZS status Started for theBenchmark.p
% 4.20/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.10
% 4.20/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.20/1.10
% 4.20/1.10 ------ iProver source info
% 4.20/1.10
% 4.20/1.10 git: date: 2024-05-02 19:28:25 +0000
% 4.20/1.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.20/1.10 git: non_committed_changes: false
% 4.20/1.10
% 4.20/1.10 ------ Parsing...successful
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.20/1.10
% 4.20/1.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.20/1.10
% 4.20/1.10 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.20/1.10 ------ Proving...
% 4.20/1.10 ------ Problem Properties
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10 clauses 15
% 4.20/1.10 conjectures 1
% 4.20/1.10 EPR 1
% 4.20/1.10 Horn 15
% 4.20/1.10 unary 14
% 4.20/1.10 binary 0
% 4.20/1.10 lits 17
% 4.20/1.10 lits eq 17
% 4.20/1.10 fd_pure 0
% 4.20/1.10 fd_pseudo 0
% 4.20/1.10 fd_cond 0
% 4.20/1.10 fd_pseudo_cond 0
% 4.20/1.10 AC symbols 0
% 4.20/1.10
% 4.20/1.10 ------ Schedule dynamic 5 is on
% 4.20/1.10
% 4.20/1.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10 ------
% 4.20/1.10 Current options:
% 4.20/1.10 ------
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10 ------ Proving...
% 4.20/1.10
% 4.20/1.10
% 4.20/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.10
% 4.20/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.20/1.10
% 4.20/1.11
%------------------------------------------------------------------------------