TSTP Solution File: GRP205-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP205-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Thu Aug 31 00:58:41 EDT 2023
% Result : Unsatisfiable 70.28s 9.61s
% Output : CNFRefutation 70.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 3 RR)
% Number of literals : 57 ( 56 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(c_50,plain,
multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(c_51,plain,
multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_left_division) ).
cnf(c_52,plain,
left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_division_multiply) ).
cnf(c_53,plain,
multiply(right_division(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_right_division) ).
cnf(c_54,plain,
right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_division_multiply) ).
cnf(c_55,plain,
multiply(X0,right_inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_56,plain,
multiply(left_inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_57,plain,
multiply(multiply(multiply(X0,X1),X0),X2) = multiply(X0,multiply(X1,multiply(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',moufang3) ).
cnf(c_58,negated_conjecture,
multiply(multiply(x,y),multiply(z,x)) != multiply(x,multiply(multiply(y,z),x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_moufang4) ).
cnf(c_155,plain,
left_division(X0,X0) = identity,
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_168,plain,
right_division(X0,left_division(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_169,plain,
right_division(identity,right_inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_170,plain,
right_division(identity,X0) = left_inverse(X0),
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_181,plain,
multiply(X0,multiply(left_division(X0,X1),multiply(X0,X2))) = multiply(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_51,c_57]) ).
cnf(c_183,plain,
multiply(X0,multiply(right_inverse(X0),multiply(X0,X1))) = multiply(multiply(identity,X0),X1),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_186,plain,
multiply(X0,multiply(X1,multiply(X0,identity))) = multiply(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_189,plain,
right_division(multiply(X0,multiply(X1,multiply(X0,X2))),X2) = multiply(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_57,c_54]) ).
cnf(c_193,plain,
multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(light_normalisation,[status(thm)],[c_186,c_50]) ).
cnf(c_197,plain,
multiply(X0,multiply(right_inverse(X0),multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_183,c_49]) ).
cnf(c_233,plain,
left_inverse(right_inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_169,c_170]) ).
cnf(c_267,plain,
multiply(X0,multiply(right_inverse(X0),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_55,c_193]) ).
cnf(c_277,plain,
multiply(X0,multiply(right_inverse(X0),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_267,c_49]) ).
cnf(c_292,plain,
multiply(right_inverse(X0),X0) = left_division(X0,X0),
inference(superposition,[status(thm)],[c_277,c_52]) ).
cnf(c_295,plain,
multiply(right_inverse(X0),X0) = identity,
inference(light_normalisation,[status(thm)],[c_292,c_155]) ).
cnf(c_306,plain,
right_division(identity,X0) = right_inverse(X0),
inference(superposition,[status(thm)],[c_295,c_54]) ).
cnf(c_309,plain,
right_inverse(X0) = left_inverse(X0),
inference(demodulation,[status(thm)],[c_170,c_306]) ).
cnf(c_314,plain,
right_inverse(right_inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_233,c_309]) ).
cnf(c_1141,plain,
multiply(X0,multiply(right_inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_51,c_197]) ).
cnf(c_1187,plain,
multiply(right_inverse(X0),X1) = left_division(X0,X1),
inference(superposition,[status(thm)],[c_1141,c_52]) ).
cnf(c_3879,plain,
multiply(X0,multiply(left_division(X0,X1),identity)) = multiply(multiply(X1,X0),right_inverse(X0)),
inference(superposition,[status(thm)],[c_55,c_181]) ).
cnf(c_3988,plain,
multiply(multiply(X0,X1),right_inverse(X1)) = multiply(X1,left_division(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_3879]) ).
cnf(c_4112,plain,
right_division(multiply(X0,left_division(X0,X1)),right_inverse(X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_3988,c_54]) ).
cnf(c_4126,plain,
right_division(X0,right_inverse(X1)) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_4112,c_51]) ).
cnf(c_4216,plain,
multiply(X0,right_inverse(X1)) = right_division(X0,X1),
inference(superposition,[status(thm)],[c_314,c_4126]) ).
cnf(c_4306,plain,
left_division(X0,right_division(X0,X1)) = right_inverse(X1),
inference(superposition,[status(thm)],[c_4216,c_52]) ).
cnf(c_4364,plain,
right_inverse(left_division(X0,X1)) = left_division(X1,X0),
inference(superposition,[status(thm)],[c_168,c_4306]) ).
cnf(c_4469,plain,
multiply(left_division(X0,X1),X2) = left_division(left_division(X1,X0),X2),
inference(superposition,[status(thm)],[c_4364,c_1187]) ).
cnf(c_4472,plain,
multiply(X0,left_division(X1,X2)) = right_division(X0,left_division(X2,X1)),
inference(superposition,[status(thm)],[c_4364,c_4216]) ).
cnf(c_4792,plain,
right_division(multiply(X0,multiply(X1,multiply(X0,X2))),X2) = multiply(X0,multiply(X1,X0)),
inference(light_normalisation,[status(thm)],[c_189,c_193]) ).
cnf(c_4802,plain,
multiply(X0,multiply(right_division(X1,multiply(X0,X2)),X0)) = right_division(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_53,c_4792]) ).
cnf(c_6404,plain,
multiply(X0,multiply(right_division(X1,X2),X0)) = right_division(multiply(X0,X1),left_division(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_4802]) ).
cnf(c_9073,plain,
multiply(multiply(X0,left_division(X1,X2)),left_division(X2,X1)) = X0,
inference(superposition,[status(thm)],[c_4472,c_53]) ).
cnf(c_9165,plain,
multiply(multiply(X0,multiply(left_division(X1,X2),X3)),left_division(X3,left_division(X2,X1))) = X0,
inference(superposition,[status(thm)],[c_4469,c_9073]) ).
cnf(c_9885,plain,
multiply(right_division(X0,X1),multiply(right_division(X1,X2),right_division(X0,X1))) = right_division(X0,left_division(right_division(X0,X1),X2)),
inference(superposition,[status(thm)],[c_53,c_6404]) ).
cnf(c_22381,plain,
multiply(right_division(X0,multiply(X1,X2)),multiply(X1,right_division(X0,multiply(X1,X2)))) = right_division(X0,left_division(right_division(X0,multiply(X1,X2)),X2)),
inference(superposition,[status(thm)],[c_54,c_9885]) ).
cnf(c_33681,plain,
right_division(right_division(X0,left_division(right_division(X0,multiply(X1,X2)),X2)),multiply(X1,right_division(X0,multiply(X1,X2)))) = right_division(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_22381,c_54]) ).
cnf(c_35682,plain,
right_division(right_division(X0,left_division(right_division(X0,X1),left_division(X2,X1))),multiply(X2,right_division(X0,X1))) = right_division(X0,X1),
inference(superposition,[status(thm)],[c_51,c_33681]) ).
cnf(c_36306,plain,
right_division(right_division(X0,left_division(right_division(X0,X1),left_division(right_division(X2,right_division(X0,X1)),X1))),X2) = right_division(X0,X1),
inference(superposition,[status(thm)],[c_53,c_35682]) ).
cnf(c_36745,plain,
right_division(X0,left_division(right_division(X0,X1),left_division(right_division(X2,right_division(X0,X1)),X1))) = multiply(right_division(X0,X1),X2),
inference(superposition,[status(thm)],[c_36306,c_53]) ).
cnf(c_148861,plain,
multiply(X0,multiply(left_division(X1,X2),X3)) = right_division(X0,left_division(X3,left_division(X2,X1))),
inference(superposition,[status(thm)],[c_9165,c_54]) ).
cnf(c_149028,plain,
multiply(X0,multiply(left_division(X1,right_division(X2,right_division(X0,X1))),right_division(X0,X1))) = multiply(right_division(X0,X1),X2),
inference(demodulation,[status(thm)],[c_36745,c_148861]) ).
cnf(c_149386,plain,
multiply(multiply(X0,X1),multiply(left_division(X1,right_division(X2,X0)),X0)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_54,c_149028]) ).
cnf(c_150104,plain,
multiply(multiply(X0,X1),multiply(left_division(X1,X2),X0)) = multiply(X0,multiply(X2,X0)),
inference(superposition,[status(thm)],[c_54,c_149386]) ).
cnf(c_150805,plain,
multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(multiply(X1,X2),X0)),
inference(superposition,[status(thm)],[c_52,c_150104]) ).
cnf(c_151139,plain,
multiply(x,multiply(multiply(y,z),x)) != multiply(x,multiply(multiply(y,z),x)),
inference(demodulation,[status(thm)],[c_58,c_150805]) ).
cnf(c_151142,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_151139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08 % Problem : GRP205-1 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.09 % Command : run_iprover %s %d THM
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Aug 29 00:31:31 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.11/0.40 Running UEQ theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 70.28/9.61 % SZS status Started for theBenchmark.p
% 70.28/9.61 % SZS status Unsatisfiable for theBenchmark.p
% 70.28/9.61
% 70.28/9.61 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 70.28/9.61
% 70.28/9.61 ------ iProver source info
% 70.28/9.61
% 70.28/9.61 git: date: 2023-05-31 18:12:56 +0000
% 70.28/9.61 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 70.28/9.61 git: non_committed_changes: false
% 70.28/9.61 git: last_make_outside_of_git: false
% 70.28/9.61
% 70.28/9.61 ------ Parsing...successful
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 70.28/9.61
% 70.28/9.61 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 70.28/9.61
% 70.28/9.61 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 70.28/9.61 ------ Proving...
% 70.28/9.61 ------ Problem Properties
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61 clauses 10
% 70.28/9.61 conjectures 1
% 70.28/9.61 EPR 0
% 70.28/9.61 Horn 10
% 70.28/9.61 unary 10
% 70.28/9.61 binary 0
% 70.28/9.61 lits 10
% 70.28/9.61 lits eq 10
% 70.28/9.61 fd_pure 0
% 70.28/9.61 fd_pseudo 0
% 70.28/9.61 fd_cond 0
% 70.28/9.61 fd_pseudo_cond 0
% 70.28/9.61 AC symbols 0
% 70.28/9.61
% 70.28/9.61 ------ Input Options Time Limit: Unbounded
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61 ------
% 70.28/9.61 Current options:
% 70.28/9.61 ------
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61 ------ Proving...
% 70.28/9.61
% 70.28/9.61
% 70.28/9.61 % SZS status Unsatisfiable for theBenchmark.p
% 70.28/9.61
% 70.28/9.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.28/9.61
% 70.28/9.61
%------------------------------------------------------------------------------