TSTP Solution File: GRP092-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP092-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:20:56 EDT 2024
% Result : Unsatisfiable 3.95s 1.19s
% Output : CNFRefutation 3.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(X0,X1),divide(divide(X0,X2),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,plain,
divide(X0,X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c_53,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_74,plain,
divide(identity,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_51,c_52]) ).
cnf(c_75,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_52,c_74]) ).
cnf(c_87,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_88,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_89,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_90,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_91,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_92,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_93,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_94,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_95,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_96,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_97,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_98,plain,
multiply(a4,b4) = sP11_iProver_def,
definition ).
cnf(c_99,plain,
multiply(b4,a4) = sP12_iProver_def,
definition ).
cnf(c_100,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_53,c_99,c_98,c_96,c_97,c_94,c_95,c_92,c_93,c_90,c_91,c_87,c_88,c_89]) ).
cnf(c_184,plain,
multiply(inverse(X0),X0) = identity,
inference(superposition,[status(thm)],[c_75,c_52]) ).
cnf(c_191,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_74,c_52]) ).
cnf(c_196,plain,
multiply(sP7_iProver_def,a1) = identity,
inference(superposition,[status(thm)],[c_94,c_184]) ).
cnf(c_197,plain,
multiply(sP9_iProver_def,b1) = identity,
inference(superposition,[status(thm)],[c_96,c_184]) ).
cnf(c_198,plain,
multiply(sP0_iProver_def,b2) = identity,
inference(superposition,[status(thm)],[c_87,c_184]) ).
cnf(c_200,plain,
identity = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_198,c_88]) ).
cnf(c_201,plain,
identity = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_197,c_97]) ).
cnf(c_202,plain,
identity = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_196,c_95]) ).
cnf(c_204,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_191,c_200]) ).
cnf(c_205,plain,
divide(sP1_iProver_def,X0) = inverse(X0),
inference(demodulation,[status(thm)],[c_74,c_200]) ).
cnf(c_206,plain,
divide(X0,X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_52,c_200]) ).
cnf(c_210,plain,
sP1_iProver_def = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_201,c_200]) ).
cnf(c_212,plain,
( a2 != sP2_iProver_def
| sP1_iProver_def != sP8_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_100,c_210]) ).
cnf(c_221,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_202,c_200]) ).
cnf(c_222,plain,
( a2 != sP2_iProver_def
| sP1_iProver_def != sP1_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_212,c_221]) ).
cnf(c_224,plain,
( a2 != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_222]) ).
cnf(c_231,plain,
divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_204,c_75]) ).
cnf(c_237,plain,
divide(divide(X0,inverse(X1)),multiply(divide(X0,X2),X1)) = X2,
inference(superposition,[status(thm)],[c_75,c_49]) ).
cnf(c_246,plain,
divide(multiply(X0,X1),multiply(divide(X0,X2),X1)) = X2,
inference(light_normalisation,[status(thm)],[c_237,c_75]) ).
cnf(c_259,plain,
divide(sP1_iProver_def,divide(divide(X0,X1),X0)) = X1,
inference(superposition,[status(thm)],[c_206,c_49]) ).
cnf(c_260,plain,
divide(divide(X0,X1),divide(sP1_iProver_def,X1)) = X0,
inference(superposition,[status(thm)],[c_206,c_49]) ).
cnf(c_261,plain,
divide(divide(X0,divide(X0,X1)),sP1_iProver_def) = X1,
inference(superposition,[status(thm)],[c_206,c_49]) ).
cnf(c_284,plain,
multiply(sP1_iProver_def,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_205,c_75]) ).
cnf(c_372,plain,
inverse(divide(divide(X0,X1),X0)) = X1,
inference(demodulation,[status(thm)],[c_259,c_205]) ).
cnf(c_379,plain,
inverse(divide(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_206,c_372]) ).
cnf(c_389,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_379,c_205,c_284]) ).
cnf(c_395,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_89,c_389]) ).
cnf(c_396,plain,
( sP4_iProver_def != sP6_iProver_def
| sP11_iProver_def != sP12_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_224,c_395]) ).
cnf(c_444,plain,
multiply(divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_260,c_75,c_205]) ).
cnf(c_447,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_75,c_444]) ).
cnf(c_482,plain,
multiply(sP3_iProver_def,inverse(b3)) = a3,
inference(superposition,[status(thm)],[c_90,c_447]) ).
cnf(c_484,plain,
multiply(sP11_iProver_def,inverse(b4)) = a4,
inference(superposition,[status(thm)],[c_98,c_447]) ).
cnf(c_492,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_444,c_447]) ).
cnf(c_590,plain,
divide(sP3_iProver_def,b3) = a3,
inference(demodulation,[status(thm)],[c_482,c_492]) ).
cnf(c_603,plain,
divide(sP11_iProver_def,b4) = a4,
inference(demodulation,[status(thm)],[c_484,c_492]) ).
cnf(c_1134,plain,
multiply(divide(X0,divide(X0,X1)),sP1_iProver_def) = X1,
inference(demodulation,[status(thm)],[c_261,c_231]) ).
cnf(c_1135,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_49,c_1134]) ).
cnf(c_1164,plain,
divide(X0,divide(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1134,c_1135]) ).
cnf(c_1282,plain,
divide(sP3_iProver_def,a3) = b3,
inference(superposition,[status(thm)],[c_590,c_1164]) ).
cnf(c_1284,plain,
divide(sP11_iProver_def,a4) = b4,
inference(superposition,[status(thm)],[c_603,c_1164]) ).
cnf(c_1396,plain,
multiply(b4,a4) = sP11_iProver_def,
inference(superposition,[status(thm)],[c_1284,c_444]) ).
cnf(c_1397,plain,
sP11_iProver_def = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_99,c_1396]) ).
cnf(c_1398,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_396,c_1397]) ).
cnf(c_1427,plain,
divide(sP4_iProver_def,multiply(divide(sP3_iProver_def,X0),c3)) = X0,
inference(superposition,[status(thm)],[c_91,c_246]) ).
cnf(c_3164,plain,
divide(sP4_iProver_def,multiply(b3,c3)) = a3,
inference(superposition,[status(thm)],[c_1282,c_1427]) ).
cnf(c_3168,plain,
divide(sP4_iProver_def,sP5_iProver_def) = a3,
inference(light_normalisation,[status(thm)],[c_3164,c_92]) ).
cnf(c_3311,plain,
multiply(a3,sP5_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_3168,c_444]) ).
cnf(c_3313,plain,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_93,c_3311]) ).
cnf(c_3314,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3313,c_1398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP092-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 00:12:54 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 3.95/1.19 % SZS status Started for theBenchmark.p
% 3.95/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.19
% 3.95/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.95/1.19
% 3.95/1.19 ------ iProver source info
% 3.95/1.19
% 3.95/1.19 git: date: 2024-05-02 19:28:25 +0000
% 3.95/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.95/1.19 git: non_committed_changes: false
% 3.95/1.19
% 3.95/1.19 ------ Parsing...successful
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.95/1.19
% 3.95/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.95/1.19
% 3.95/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.95/1.19 ------ Proving...
% 3.95/1.19 ------ Problem Properties
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19 clauses 18
% 3.95/1.19 conjectures 1
% 3.95/1.19 EPR 1
% 3.95/1.19 Horn 18
% 3.95/1.19 unary 17
% 3.95/1.19 binary 0
% 3.95/1.19 lits 21
% 3.95/1.19 lits eq 21
% 3.95/1.19 fd_pure 0
% 3.95/1.19 fd_pseudo 0
% 3.95/1.19 fd_cond 0
% 3.95/1.19 fd_pseudo_cond 0
% 3.95/1.19 AC symbols 0
% 3.95/1.19
% 3.95/1.19 ------ Schedule dynamic 5 is on
% 3.95/1.19
% 3.95/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19 ------
% 3.95/1.19 Current options:
% 3.95/1.19 ------
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19 ------ Proving...
% 3.95/1.19
% 3.95/1.19
% 3.95/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.19
% 3.95/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.19
% 3.95/1.20
%------------------------------------------------------------------------------