TSTP Solution File: GRP468-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP468-1 : TPTP v8.1.2. 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 : Fri May 3 02:22:40 EDT 2024
% Result : Unsatisfiable 11.98s 2.16s
% Output : CNFRefutation 11.98s
% 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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_60,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_66,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_67,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_68,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_69,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_70,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_51,c_68,c_69,c_66,c_67]) ).
cnf(c_112,plain,
divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_114,plain,
divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3))) = X2,
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_117,plain,
divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = divide(X4,X4),
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_126,plain,
divide(multiply(inverse(X0),X0),divide(divide(X1,multiply(divide(X2,divide(X3,X1)),X3)),multiply(divide(X4,X2),multiply(inverse(X5),X5)))) = X4,
inference(superposition,[status(thm)],[c_112,c_112]) ).
cnf(c_139,plain,
divide(divide(X0,X0),divide(inverse(b3),multiply(divide(X1,sP0_iProver_def),a3))) = X1,
inference(superposition,[status(thm)],[c_66,c_114]) ).
cnf(c_142,plain,
divide(divide(X0,X0),divide(inverse(sP2_iProver_def),multiply(divide(X1,sP3_iProver_def),a3))) = X1,
inference(superposition,[status(thm)],[c_69,c_114]) ).
cnf(c_167,plain,
divide(divide(X0,X0),divide(multiply(divide(X1,sP0_iProver_def),a3),multiply(X1,inverse(b3)))) = divide(X2,X2),
inference(superposition,[status(thm)],[c_139,c_60]) ).
cnf(c_348,plain,
divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_167,c_167]) ).
cnf(c_467,plain,
divide(divide(X0,X0),divide(X1,multiply(divide(X2,X2),X3))) = divide(X3,X1),
inference(superposition,[status(thm)],[c_348,c_60]) ).
cnf(c_468,plain,
multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_348,c_50]) ).
cnf(c_471,plain,
divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,X2),X3))) = multiply(X3,X1),
inference(superposition,[status(thm)],[c_348,c_114]) ).
cnf(c_573,plain,
divide(divide(X0,X0),divide(X1,multiply(divide(X2,multiply(inverse(X3),X3)),X1))) = X2,
inference(superposition,[status(thm)],[c_468,c_60]) ).
cnf(c_580,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_468,c_468]) ).
cnf(c_994,plain,
divide(a3,inverse(sP2_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_467,c_142]) ).
cnf(c_2939,plain,
divide(X0,multiply(divide(divide(X1,X1),divide(X2,X0)),X2)) = divide(X3,X3),
inference(superposition,[status(thm)],[c_117,c_467]) ).
cnf(c_18682,plain,
divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2)) = divide(X3,X3),
inference(superposition,[status(thm)],[c_60,c_2939]) ).
cnf(c_22092,plain,
divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,X2),X3))) = multiply(divide(X3,divide(X4,X1)),X4),
inference(superposition,[status(thm)],[c_18682,c_114]) ).
cnf(c_22231,plain,
multiply(divide(X0,divide(X1,X2)),X1) = multiply(X0,X2),
inference(light_normalisation,[status(thm)],[c_22092,c_471]) ).
cnf(c_22239,plain,
divide(divide(X0,X0),divide(X1,multiply(X2,X1))) = X2,
inference(demodulation,[status(thm)],[c_60,c_22231]) ).
cnf(c_22250,plain,
divide(X0,multiply(inverse(X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_573,c_22239]) ).
cnf(c_23531,plain,
multiply(divide(X0,multiply(X1,X2)),X1) = multiply(X0,inverse(X2)),
inference(superposition,[status(thm)],[c_50,c_22231]) ).
cnf(c_23813,plain,
divide(divide(X0,X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_22250,c_22239]) ).
cnf(c_23844,plain,
inverse(divide(X0,multiply(X1,X0))) = X1,
inference(demodulation,[status(thm)],[c_22239,c_23813]) ).
cnf(c_23949,plain,
divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_22250,c_23813]) ).
cnf(c_24151,plain,
inverse(divide(X0,multiply(X1,X2))) = divide(X1,divide(X0,X2)),
inference(superposition,[status(thm)],[c_22231,c_23844]) ).
cnf(c_24696,plain,
divide(divide(X0,X1),divide(X2,multiply(X1,X2))) = X0,
inference(demodulation,[status(thm)],[c_126,c_22231,c_22250,c_23949,c_24151]) ).
cnf(c_24712,plain,
divide(divide(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_22250,c_24696]) ).
cnf(c_24728,plain,
divide(multiply(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_24712,c_50]) ).
cnf(c_24767,plain,
divide(sP2_iProver_def,c3) = b3,
inference(superposition,[status(thm)],[c_68,c_24728]) ).
cnf(c_24768,plain,
divide(sP1_iProver_def,c3) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_67,c_24728]) ).
cnf(c_24774,plain,
divide(multiply(X0,X1),X2) = divide(X0,divide(X2,X1)),
inference(superposition,[status(thm)],[c_22231,c_24728]) ).
cnf(c_24776,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_24728,c_50]) ).
cnf(c_24777,plain,
divide(X0,divide(X1,multiply(X2,X1))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_24728,c_24696]) ).
cnf(c_24783,plain,
multiply(divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_24696,c_24777]) ).
cnf(c_24802,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_468,c_24783]) ).
cnf(c_25129,plain,
multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_580,c_24776]) ).
cnf(c_25144,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_25129,c_24802]) ).
cnf(c_25163,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_25144,c_50]) ).
cnf(c_25545,plain,
divide(inverse(X0),divide(X1,X0)) = inverse(X1),
inference(demodulation,[status(thm)],[c_23949,c_24774]) ).
cnf(c_25550,plain,
divide(inverse(inverse(X0)),multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_50,c_25545]) ).
cnf(c_25564,plain,
divide(inverse(c3),b3) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_24767,c_25545]) ).
cnf(c_25565,plain,
divide(inverse(c3),sP0_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_24768,c_25545]) ).
cnf(c_25575,plain,
divide(X0,multiply(X1,X0)) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_25550,c_25144]) ).
cnf(c_26289,plain,
multiply(divide(X0,multiply(X1,X2)),X1) = divide(X0,X2),
inference(demodulation,[status(thm)],[c_23531,c_25163]) ).
cnf(c_26299,plain,
multiply(divide(X0,sP0_iProver_def),a3) = divide(X0,b3),
inference(superposition,[status(thm)],[c_66,c_26289]) ).
cnf(c_26363,plain,
divide(inverse(c3),b3) = multiply(inverse(sP1_iProver_def),a3),
inference(superposition,[status(thm)],[c_25565,c_26299]) ).
cnf(c_26369,plain,
multiply(inverse(sP1_iProver_def),a3) = inverse(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_26363,c_25564]) ).
cnf(c_26378,plain,
divide(a3,inverse(sP2_iProver_def)) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_26369,c_25575]) ).
cnf(c_26380,plain,
inverse(inverse(sP1_iProver_def)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_26378,c_994]) ).
cnf(c_26382,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_26380,c_25144]) ).
cnf(c_26383,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26382,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GRP468-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 23:47:51 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running UEQ theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.98/2.16 % SZS status Started for theBenchmark.p
% 11.98/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 11.98/2.16
% 11.98/2.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.98/2.16
% 11.98/2.16 ------ iProver source info
% 11.98/2.16
% 11.98/2.16 git: date: 2024-05-02 19:28:25 +0000
% 11.98/2.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.98/2.16 git: non_committed_changes: false
% 11.98/2.16
% 11.98/2.16 ------ Parsing...successful
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 11.98/2.16
% 11.98/2.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.98/2.16
% 11.98/2.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.98/2.16 ------ Proving...
% 11.98/2.16 ------ Problem Properties
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16 clauses 7
% 11.98/2.16 conjectures 1
% 11.98/2.16 EPR 1
% 11.98/2.16 Horn 7
% 11.98/2.16 unary 7
% 11.98/2.16 binary 0
% 11.98/2.16 lits 7
% 11.98/2.16 lits eq 7
% 11.98/2.16 fd_pure 0
% 11.98/2.16 fd_pseudo 0
% 11.98/2.16 fd_cond 0
% 11.98/2.16 fd_pseudo_cond 0
% 11.98/2.16 AC symbols 0
% 11.98/2.16
% 11.98/2.16 ------ Input Options Time Limit: Unbounded
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16 ------
% 11.98/2.16 Current options:
% 11.98/2.16 ------
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16 ------ Proving...
% 11.98/2.16
% 11.98/2.16
% 11.98/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 11.98/2.16
% 11.98/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.98/2.16
% 11.98/2.16
%------------------------------------------------------------------------------