TSTP Solution File: GRP090-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP090-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:20:55 EDT 2024
% Result : Unsatisfiable 4.33s 1.20s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
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)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_70,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,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,plain,
multiply(a4,b4) = sP11_iProver_def,
definition ).
cnf(c_93,plain,
multiply(b4,a4) = sP12_iProver_def,
definition ).
cnf(c_94,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_52,c_93,c_92,c_90,c_91,c_88,c_89,c_86,c_87,c_84,c_85,c_81,c_82,c_83]) ).
cnf(c_172,plain,
divide(X0,sP7_iProver_def) = multiply(X0,a1),
inference(superposition,[status(thm)],[c_88,c_70]) ).
cnf(c_173,plain,
divide(X0,sP9_iProver_def) = multiply(X0,b1),
inference(superposition,[status(thm)],[c_90,c_70]) ).
cnf(c_174,plain,
divide(X0,sP0_iProver_def) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_81,c_70]) ).
cnf(c_184,plain,
divide(multiply(sP7_iProver_def,a1),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_172,c_51]) ).
cnf(c_185,plain,
divide(multiply(sP9_iProver_def,b1),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_173,c_51]) ).
cnf(c_186,plain,
divide(multiply(sP0_iProver_def,b2),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_174,c_51]) ).
cnf(c_187,plain,
divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_51,c_51]) ).
cnf(c_192,plain,
divide(sP1_iProver_def,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_186,c_82]) ).
cnf(c_193,plain,
divide(sP10_iProver_def,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_185,c_91]) ).
cnf(c_194,plain,
divide(sP8_iProver_def,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_184,c_89]) ).
cnf(c_209,plain,
multiply(sP1_iProver_def,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_192,c_70]) ).
cnf(c_219,plain,
divide(inverse(sP10_iProver_def),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_193,c_51]) ).
cnf(c_234,plain,
divide(inverse(sP8_iProver_def),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_194,c_51]) ).
cnf(c_295,plain,
divide(inverse(divide(X0,X1)),divide(sP8_iProver_def,X0)) = X1,
inference(superposition,[status(thm)],[c_194,c_49]) ).
cnf(c_303,plain,
divide(divide(X0,inverse(X1)),divide(X0,sP1_iProver_def)) = X1,
inference(superposition,[status(thm)],[c_192,c_49]) ).
cnf(c_319,plain,
inverse(divide(divide(X0,X1),X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_322,plain,
divide(multiply(X0,X1),divide(X0,sP1_iProver_def)) = X1,
inference(light_normalisation,[status(thm)],[c_303,c_70]) ).
cnf(c_323,plain,
divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(light_normalisation,[status(thm)],[c_295,c_194]) ).
cnf(c_606,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_51,c_319]) ).
cnf(c_619,plain,
inverse(divide(inverse(X0),sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_192,c_319]) ).
cnf(c_628,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_209,c_606]) ).
cnf(c_634,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_83,c_628]) ).
cnf(c_635,plain,
( sP2_iProver_def != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_94,c_634]) ).
cnf(c_636,plain,
( sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_635]) ).
cnf(c_754,plain,
divide(divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_319,c_606]) ).
cnf(c_756,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_606,c_70]) ).
cnf(c_1101,plain,
divide(X0,X0) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_187,c_619]) ).
cnf(c_1103,plain,
inverse(inverse(sP1_iProver_def)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_219,c_619]) ).
cnf(c_1104,plain,
inverse(inverse(sP1_iProver_def)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_234,c_619]) ).
cnf(c_1112,plain,
inverse(divide(X0,sP1_iProver_def)) = inverse(X0),
inference(superposition,[status(thm)],[c_606,c_619]) ).
cnf(c_1113,plain,
divide(inverse(X0),sP1_iProver_def) = inverse(divide(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_619,c_619]) ).
cnf(c_1154,plain,
sP8_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_1103,c_1104]) ).
cnf(c_1157,plain,
( sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP8_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_636,c_1154]) ).
cnf(c_1161,plain,
( sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_1157]) ).
cnf(c_1177,plain,
sP1_iProver_def = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_1104,c_606]) ).
cnf(c_1178,plain,
sP1_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_1154,c_1177]) ).
cnf(c_1232,plain,
divide(X0,X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1101,c_1103,c_1178]) ).
cnf(c_1246,plain,
divide(divide(X0,sP1_iProver_def),divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1232,c_49]) ).
cnf(c_1253,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1232,c_192]) ).
cnf(c_1285,plain,
divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1253,c_756]) ).
cnf(c_1288,plain,
inverse(multiply(X0,sP1_iProver_def)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1112,c_1113,c_1285]) ).
cnf(c_1291,plain,
multiply(X0,sP1_iProver_def) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1288,c_606]) ).
cnf(c_1295,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_1291,c_606]) ).
cnf(c_1305,plain,
divide(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_1285,c_1295]) ).
cnf(c_1333,plain,
divide(multiply(X0,X1),X0) = X1,
inference(light_normalisation,[status(thm)],[c_322,c_1305]) ).
cnf(c_1343,plain,
divide(sP5_iProver_def,b3) = c3,
inference(superposition,[status(thm)],[c_86,c_1333]) ).
cnf(c_1345,plain,
divide(sP12_iProver_def,b4) = a4,
inference(superposition,[status(thm)],[c_93,c_1333]) ).
cnf(c_1348,plain,
divide(sP6_iProver_def,a3) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_87,c_1333]) ).
cnf(c_1361,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[c_1333,c_70]) ).
cnf(c_1584,plain,
multiply(inverse(divide(X0,X1)),X0) = X1,
inference(demodulation,[status(thm)],[c_323,c_70]) ).
cnf(c_1608,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1584,c_1361]) ).
cnf(c_1725,plain,
divide(X0,divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_1246,c_1305]) ).
cnf(c_1727,plain,
divide(divide(X0,divide(X1,X2)),X2) = divide(X0,X1),
inference(superposition,[status(thm)],[c_49,c_1725]) ).
cnf(c_1729,plain,
divide(X0,multiply(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_70,c_1725]) ).
cnf(c_1740,plain,
divide(sP5_iProver_def,c3) = b3,
inference(superposition,[status(thm)],[c_1343,c_1725]) ).
cnf(c_1742,plain,
divide(sP12_iProver_def,a4) = b4,
inference(superposition,[status(thm)],[c_1345,c_1725]) ).
cnf(c_1744,plain,
divide(sP6_iProver_def,sP5_iProver_def) = a3,
inference(superposition,[status(thm)],[c_1348,c_1725]) ).
cnf(c_1745,plain,
divide(divide(X0,X1),divide(X0,X2)) = divide(X2,X1),
inference(superposition,[status(thm)],[c_1725,c_49]) ).
cnf(c_1989,plain,
multiply(c3,b3) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_1740,c_1608]) ).
cnf(c_1991,plain,
multiply(a4,b4) = sP12_iProver_def,
inference(superposition,[status(thm)],[c_1742,c_1608]) ).
cnf(c_1993,plain,
multiply(sP5_iProver_def,a3) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_1744,c_1608]) ).
cnf(c_2011,plain,
sP11_iProver_def = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_1991,c_92]) ).
cnf(c_2016,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_1161,c_2011]) ).
cnf(c_2196,plain,
divide(c3,sP5_iProver_def) = inverse(b3),
inference(superposition,[status(thm)],[c_1989,c_1729]) ).
cnf(c_3125,plain,
divide(inverse(b3),c3) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_2196,c_754]) ).
cnf(c_3940,plain,
divide(divide(X0,X1),X2) = divide(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_1333,c_1727]) ).
cnf(c_4370,plain,
divide(X0,multiply(divide(X0,X1),X2)) = divide(X1,X2),
inference(demodulation,[status(thm)],[c_1745,c_3940]) ).
cnf(c_4378,plain,
divide(X0,multiply(multiply(X0,X1),X2)) = divide(inverse(X1),X2),
inference(superposition,[status(thm)],[c_70,c_4370]) ).
cnf(c_4931,plain,
divide(a3,multiply(sP3_iProver_def,X0)) = divide(inverse(b3),X0),
inference(superposition,[status(thm)],[c_84,c_4378]) ).
cnf(c_5105,plain,
divide(inverse(b3),c3) = divide(a3,sP4_iProver_def),
inference(superposition,[status(thm)],[c_85,c_4931]) ).
cnf(c_5114,plain,
divide(a3,sP4_iProver_def) = inverse(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_5105,c_3125]) ).
cnf(c_5244,plain,
multiply(sP4_iProver_def,inverse(sP5_iProver_def)) = a3,
inference(superposition,[status(thm)],[c_5114,c_1608]) ).
cnf(c_5245,plain,
divide(sP4_iProver_def,sP5_iProver_def) = a3,
inference(demodulation,[status(thm)],[c_5244,c_756]) ).
cnf(c_5247,plain,
multiply(sP5_iProver_def,a3) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_5245,c_1608]) ).
cnf(c_5248,plain,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_1993,c_5247]) ).
cnf(c_5249,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5248,c_2016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP090-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:50:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 4.33/1.20 % SZS status Started for theBenchmark.p
% 4.33/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/1.20
% 4.33/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.33/1.20
% 4.33/1.20 ------ iProver source info
% 4.33/1.20
% 4.33/1.20 git: date: 2024-05-02 19:28:25 +0000
% 4.33/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.33/1.20 git: non_committed_changes: false
% 4.33/1.20
% 4.33/1.20 ------ Parsing...successful
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.33/1.20
% 4.33/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.33/1.20
% 4.33/1.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.33/1.20 ------ Proving...
% 4.33/1.20 ------ Problem Properties
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20 clauses 17
% 4.33/1.20 conjectures 1
% 4.33/1.20 EPR 1
% 4.33/1.20 Horn 17
% 4.33/1.20 unary 16
% 4.33/1.20 binary 0
% 4.33/1.20 lits 20
% 4.33/1.20 lits eq 20
% 4.33/1.20 fd_pure 0
% 4.33/1.20 fd_pseudo 0
% 4.33/1.20 fd_cond 0
% 4.33/1.20 fd_pseudo_cond 0
% 4.33/1.20 AC symbols 0
% 4.33/1.20
% 4.33/1.20 ------ Schedule dynamic 5 is on
% 4.33/1.20
% 4.33/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20 ------
% 4.33/1.20 Current options:
% 4.33/1.20 ------
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20 ------ Proving...
% 4.33/1.20
% 4.33/1.20
% 4.33/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.33/1.20
% 4.33/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/1.20
% 4.33/1.20
%------------------------------------------------------------------------------