TSTP Solution File: GRP070-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP070-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:20:51 EDT 2024
% Result : Unsatisfiable 4.27s 1.18s
% Output : CNFRefutation 4.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_64,plain,
divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_74,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_75,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_76,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_77,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_78,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_79,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_80,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_81,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_82,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_83,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_84,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_85,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_51,c_83,c_84,c_81,c_82,c_79,c_80,c_77,c_78,c_74,c_75,c_76]) ).
cnf(c_157,plain,
divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = divide(X4,X4),
inference(superposition,[status(thm)],[c_64,c_64]) ).
cnf(c_160,plain,
divide(X0,sP7_iProver_def) = multiply(X0,a1),
inference(superposition,[status(thm)],[c_81,c_50]) ).
cnf(c_161,plain,
divide(X0,sP9_iProver_def) = multiply(X0,b1),
inference(superposition,[status(thm)],[c_83,c_50]) ).
cnf(c_162,plain,
divide(X0,sP0_iProver_def) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_74,c_50]) ).
cnf(c_170,plain,
divide(multiply(sP7_iProver_def,a1),divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(superposition,[status(thm)],[c_160,c_64]) ).
cnf(c_172,plain,
divide(sP8_iProver_def,divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_170,c_82]) ).
cnf(c_175,plain,
divide(multiply(sP9_iProver_def,b1),divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(superposition,[status(thm)],[c_161,c_64]) ).
cnf(c_177,plain,
divide(sP10_iProver_def,divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_175,c_84]) ).
cnf(c_180,plain,
divide(multiply(sP0_iProver_def,b2),divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(superposition,[status(thm)],[c_162,c_64]) ).
cnf(c_182,plain,
divide(sP1_iProver_def,divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_180,c_75]) ).
cnf(c_193,plain,
divide(divide(X0,X0),divide(divide(X1,multiply(divide(X2,divide(X3,X1)),X3)),multiply(divide(X4,X2),sP8_iProver_def))) = X4,
inference(superposition,[status(thm)],[c_172,c_64]) ).
cnf(c_196,plain,
divide(sP8_iProver_def,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2))) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_172,c_172]) ).
cnf(c_216,plain,
divide(sP10_iProver_def,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2))) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_172,c_177]) ).
cnf(c_230,plain,
divide(sP8_iProver_def,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2))) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_177,c_172]) ).
cnf(c_231,plain,
sP8_iProver_def = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_230,c_196]) ).
cnf(c_233,plain,
( a2 != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_85,c_231]) ).
cnf(c_289,plain,
divide(sP1_iProver_def,divide(inverse(X0),multiply(divide(X1,multiply(X2,X0)),X2))) = X1,
inference(superposition,[status(thm)],[c_50,c_182]) ).
cnf(c_297,plain,
divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_182,c_64]) ).
cnf(c_1227,plain,
divide(X0,X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_157,c_297]) ).
cnf(c_1234,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1227,c_50]) ).
cnf(c_1235,plain,
multiply(sP7_iProver_def,a1) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1227,c_160]) ).
cnf(c_1238,plain,
divide(sP1_iProver_def,divide(X0,multiply(divide(X1,sP1_iProver_def),X0))) = X1,
inference(superposition,[status(thm)],[c_1227,c_182]) ).
cnf(c_1240,plain,
divide(sP1_iProver_def,divide(X0,multiply(sP1_iProver_def,X1))) = divide(X1,X0),
inference(superposition,[status(thm)],[c_1227,c_182]) ).
cnf(c_1257,plain,
sP1_iProver_def = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_82,c_1235]) ).
cnf(c_1272,plain,
sP1_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_231,c_1257]) ).
cnf(c_1349,plain,
divide(sP1_iProver_def,divide(inverse(X0),multiply(sP1_iProver_def,X1))) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1227,c_289]) ).
cnf(c_1417,plain,
divide(X0,multiply(sP1_iProver_def,X0)) = divide(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1227,c_1240]) ).
cnf(c_1425,plain,
divide(X0,multiply(sP1_iProver_def,X0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1417,c_1227]) ).
cnf(c_1428,plain,
divide(sP1_iProver_def,divide(inverse(X0),multiply(sP1_iProver_def,sP1_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_1425,c_289]) ).
cnf(c_1486,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_1428,c_1349]) ).
cnf(c_1488,plain,
divide(sP1_iProver_def,divide(X0,X1)) = divide(X1,X0),
inference(demodulation,[status(thm)],[c_1240,c_1486]) ).
cnf(c_1491,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_76,c_1486]) ).
cnf(c_1494,plain,
divide(multiply(divide(X0,sP1_iProver_def),X1),X1) = X0,
inference(demodulation,[status(thm)],[c_1238,c_1488]) ).
cnf(c_1499,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_233,c_1491]) ).
cnf(c_1508,plain,
divide(sP1_iProver_def,multiply(X0,X1)) = divide(inverse(X1),X0),
inference(superposition,[status(thm)],[c_50,c_1488]) ).
cnf(c_1512,plain,
divide(divide(X0,X1),sP1_iProver_def) = divide(sP1_iProver_def,divide(X1,X0)),
inference(superposition,[status(thm)],[c_1488,c_1488]) ).
cnf(c_1525,plain,
multiply(multiply(divide(X0,sP1_iProver_def),inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_1494,c_50]) ).
cnf(c_1530,plain,
divide(multiply(X0,X1),X1) = multiply(divide(X0,sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_1494,c_1494]) ).
cnf(c_1532,plain,
multiply(divide(divide(X0,sP1_iProver_def),sP1_iProver_def),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_1494,c_1530]) ).
cnf(c_1574,plain,
divide(inverse(X0),sP1_iProver_def) = divide(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_1486,c_1508]) ).
cnf(c_1609,plain,
divide(sP1_iProver_def,divide(sP1_iProver_def,X0)) = divide(sP1_iProver_def,inverse(X0)),
inference(superposition,[status(thm)],[c_1574,c_1488]) ).
cnf(c_1733,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_1532,c_50,c_1486,c_1512,c_1609]) ).
cnf(c_1739,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1733,c_1234]) ).
cnf(c_1744,plain,
divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1739,c_50]) ).
cnf(c_1746,plain,
divide(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_1744,c_1733]) ).
cnf(c_1747,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_1525,c_1746]) ).
cnf(c_1751,plain,
divide(sP1_iProver_def,X0) = inverse(X0),
inference(demodulation,[status(thm)],[c_1574,c_1746]) ).
cnf(c_1760,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(demodulation,[status(thm)],[c_1488,c_1751]) ).
cnf(c_1793,plain,
inverse(inverse(X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_1751,c_50]) ).
cnf(c_1798,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1793,c_1486]) ).
cnf(c_1804,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1798,c_50]) ).
cnf(c_1835,plain,
divide(sP1_iProver_def,divide(divide(X0,multiply(divide(X1,divide(X2,X0)),X2)),multiply(divide(X3,X1),sP1_iProver_def))) = X3,
inference(light_normalisation,[status(thm)],[c_193,c_1227,c_1257]) ).
cnf(c_1836,plain,
divide(divide(X0,X1),divide(X2,multiply(divide(X1,divide(X3,X2)),X3))) = X0,
inference(demodulation,[status(thm)],[c_1835,c_1733,c_1751,c_1760]) ).
cnf(c_1838,plain,
divide(multiply(X0,X1),divide(X2,multiply(divide(inverse(X1),divide(X3,X2)),X3))) = X0,
inference(superposition,[status(thm)],[c_50,c_1836]) ).
cnf(c_2121,plain,
divide(sP5_iProver_def,divide(X0,multiply(divide(inverse(c3),divide(X1,X0)),X1))) = b3,
inference(superposition,[status(thm)],[c_79,c_1838]) ).
cnf(c_2348,plain,
multiply(divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_1747,c_1804]) ).
cnf(c_2367,plain,
divide(X0,divide(X1,multiply(divide(inverse(X2),divide(X3,X1)),X3))) = divide(X0,X2),
inference(superposition,[status(thm)],[c_2348,c_1838]) ).
cnf(c_2421,plain,
divide(sP5_iProver_def,c3) = b3,
inference(demodulation,[status(thm)],[c_2121,c_2367]) ).
cnf(c_2482,plain,
divide(X0,divide(X1,X2)) = multiply(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[c_1760,c_1804]) ).
cnf(c_2608,plain,
divide(sP1_iProver_def,divide(multiply(multiply(X0,divide(X1,X2)),X2),multiply(X0,X1))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_216,c_1257,c_1272,c_2482]) ).
cnf(c_2609,plain,
divide(multiply(X0,X1),multiply(multiply(X0,divide(X1,X2)),X2)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2608,c_1751,c_1760]) ).
cnf(c_2614,plain,
divide(sP6_iProver_def,multiply(multiply(a3,divide(sP5_iProver_def,X0)),X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_80,c_2609]) ).
cnf(c_3307,plain,
divide(sP6_iProver_def,multiply(multiply(a3,b3),c3)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2421,c_2614]) ).
cnf(c_3313,plain,
divide(sP6_iProver_def,sP4_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_3307,c_77,c_78]) ).
cnf(c_3400,plain,
multiply(sP1_iProver_def,sP4_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_3313,c_2348]) ).
cnf(c_3445,plain,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_3400,c_1486]) ).
cnf(c_3446,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3445,c_1499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP070-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 23:55:03 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.27/1.18 % SZS status Started for theBenchmark.p
% 4.27/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.27/1.18
% 4.27/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.27/1.18
% 4.27/1.18 ------ iProver source info
% 4.27/1.18
% 4.27/1.18 git: date: 2024-05-02 19:28:25 +0000
% 4.27/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.27/1.18 git: non_committed_changes: false
% 4.27/1.18
% 4.27/1.18 ------ Parsing...successful
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.27/1.18
% 4.27/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.27/1.18
% 4.27/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.27/1.18 ------ Proving...
% 4.27/1.18 ------ Problem Properties
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18 clauses 14
% 4.27/1.18 conjectures 1
% 4.27/1.18 EPR 1
% 4.27/1.18 Horn 14
% 4.27/1.18 unary 13
% 4.27/1.18 binary 0
% 4.27/1.18 lits 16
% 4.27/1.18 lits eq 16
% 4.27/1.18 fd_pure 0
% 4.27/1.18 fd_pseudo 0
% 4.27/1.18 fd_cond 0
% 4.27/1.18 fd_pseudo_cond 0
% 4.27/1.18 AC symbols 0
% 4.27/1.18
% 4.27/1.18 ------ Schedule dynamic 5 is on
% 4.27/1.18
% 4.27/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18 ------
% 4.27/1.18 Current options:
% 4.27/1.18 ------
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18 ------ Proving...
% 4.27/1.18
% 4.27/1.18
% 4.27/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.27/1.18
% 4.27/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.27/1.18
% 4.27/1.19
%------------------------------------------------------------------------------