TSTP Solution File: GRP200-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP200-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : Thu Aug 31 00:58:40 EDT 2023
% Result : Unsatisfiable 2.59s 1.16s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 3 RR)
% Number of literals : 55 ( 54 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 101 ( 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(X0,multiply(X1,X2)),X0) = multiply(multiply(X0,X1),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',moufang1) ).
cnf(c_58,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_moufang2) ).
cnf(c_156,plain,
left_division(X0,X0) = identity,
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_165,plain,
left_division(right_division(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_171,plain,
right_division(identity,right_inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_172,plain,
right_division(identity,X0) = left_inverse(X0),
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_182,plain,
multiply(multiply(X0,identity),multiply(X1,X0)) = multiply(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_49,c_57]) ).
cnf(c_196,plain,
multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(light_normalisation,[status(thm)],[c_182,c_50]) ).
cnf(c_201,plain,
multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(multiply(X1,X2),X0)),
inference(demodulation,[status(thm)],[c_57,c_196]) ).
cnf(c_236,plain,
left_inverse(right_inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_171,c_172]) ).
cnf(c_270,plain,
multiply(X0,multiply(right_inverse(X0),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_55,c_196]) ).
cnf(c_275,plain,
right_division(multiply(X0,multiply(X1,X0)),X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_196,c_54]) ).
cnf(c_280,plain,
multiply(X0,multiply(right_inverse(X0),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_270,c_49]) ).
cnf(c_295,plain,
multiply(right_inverse(X0),X0) = left_division(X0,X0),
inference(superposition,[status(thm)],[c_280,c_52]) ).
cnf(c_298,plain,
multiply(right_inverse(X0),X0) = identity,
inference(light_normalisation,[status(thm)],[c_295,c_156]) ).
cnf(c_309,plain,
right_division(identity,X0) = right_inverse(X0),
inference(superposition,[status(thm)],[c_298,c_54]) ).
cnf(c_312,plain,
right_inverse(X0) = left_inverse(X0),
inference(demodulation,[status(thm)],[c_172,c_309]) ).
cnf(c_317,plain,
right_inverse(right_inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_236,c_312]) ).
cnf(c_419,plain,
multiply(X0,right_division(X1,X0)) = right_division(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_53,c_275]) ).
cnf(c_438,plain,
multiply(X0,right_division(multiply(X1,X0),X0)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_275,c_419]) ).
cnf(c_1180,plain,
multiply(X0,multiply(multiply(left_division(X0,X1),X2),X0)) = multiply(X1,multiply(X2,X0)),
inference(superposition,[status(thm)],[c_51,c_201]) ).
cnf(c_1182,plain,
multiply(X0,multiply(multiply(right_inverse(X0),X1),X0)) = multiply(identity,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_55,c_201]) ).
cnf(c_1199,plain,
multiply(X0,multiply(multiply(X1,right_division(X2,X0)),X0)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_53,c_201]) ).
cnf(c_1363,plain,
multiply(identity,multiply(left_division(right_inverse(X0),X1),X0)) = multiply(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_51,c_1182]) ).
cnf(c_1543,plain,
multiply(left_division(right_inverse(X0),X1),X0) = multiply(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1363,c_49]) ).
cnf(c_1594,plain,
right_division(multiply(X0,multiply(X1,X0)),X0) = left_division(right_inverse(X0),X1),
inference(superposition,[status(thm)],[c_1543,c_54]) ).
cnf(c_1708,plain,
multiply(X0,right_division(multiply(X1,X0),X0)) = left_division(right_inverse(X0),X1),
inference(superposition,[status(thm)],[c_1594,c_419]) ).
cnf(c_1719,plain,
left_division(right_inverse(X0),X1) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_1708,c_438]) ).
cnf(c_1771,plain,
multiply(right_inverse(X0),X1) = left_division(X0,X1),
inference(superposition,[status(thm)],[c_317,c_1719]) ).
cnf(c_1878,plain,
right_division(left_division(X0,X1),X1) = right_inverse(X0),
inference(superposition,[status(thm)],[c_1771,c_54]) ).
cnf(c_1926,plain,
right_inverse(right_division(X0,X1)) = right_division(X1,X0),
inference(superposition,[status(thm)],[c_165,c_1878]) ).
cnf(c_2012,plain,
multiply(right_division(X0,X1),X2) = left_division(right_division(X1,X0),X2),
inference(superposition,[status(thm)],[c_1926,c_1719]) ).
cnf(c_2736,plain,
multiply(X0,multiply(left_division(left_division(X1,X0),X2),X1)) = multiply(X1,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_51,c_1180]) ).
cnf(c_3895,plain,
multiply(multiply(X0,right_division(X1,right_division(X2,X0))),X2) = multiply(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_53,c_1199]) ).
cnf(c_4728,plain,
multiply(left_division(left_division(X0,X1),X2),X0) = left_division(X1,multiply(X0,multiply(X2,X0))),
inference(superposition,[status(thm)],[c_2736,c_52]) ).
cnf(c_5344,plain,
multiply(X0,right_division(X1,right_division(identity,X0))) = multiply(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_3895,c_50]) ).
cnf(c_5364,plain,
multiply(X0,right_division(X1,right_inverse(X0))) = multiply(X0,multiply(X1,X0)),
inference(light_normalisation,[status(thm)],[c_5344,c_309]) ).
cnf(c_5523,plain,
left_division(X0,multiply(X0,multiply(X1,X0))) = right_division(X1,right_inverse(X0)),
inference(superposition,[status(thm)],[c_5364,c_52]) ).
cnf(c_5861,plain,
right_division(X0,right_inverse(X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5523,c_52]) ).
cnf(c_5957,plain,
multiply(X0,right_inverse(X1)) = right_division(X0,X1),
inference(superposition,[status(thm)],[c_317,c_5861]) ).
cnf(c_6078,plain,
left_division(X0,right_inverse(X1)) = right_division(right_inverse(X0),X1),
inference(superposition,[status(thm)],[c_5957,c_1771]) ).
cnf(c_6419,plain,
multiply(right_division(X0,right_inverse(X1)),X2) = left_division(left_division(X1,right_inverse(X0)),X2),
inference(superposition,[status(thm)],[c_6078,c_2012]) ).
cnf(c_6434,plain,
left_division(left_division(X0,right_inverse(X1)),X2) = multiply(multiply(X1,X0),X2),
inference(light_normalisation,[status(thm)],[c_6419,c_5861]) ).
cnf(c_7047,plain,
multiply(left_division(left_division(X0,right_inverse(X1)),X2),X0) = multiply(X1,multiply(X0,multiply(X2,X0))),
inference(superposition,[status(thm)],[c_4728,c_1719]) ).
cnf(c_7064,plain,
multiply(multiply(multiply(X0,X1),X2),X1) = multiply(X0,multiply(X1,multiply(X2,X1))),
inference(light_normalisation,[status(thm)],[c_7047,c_6434]) ).
cnf(c_7077,plain,
multiply(a,multiply(b,multiply(c,b))) != multiply(a,multiply(b,multiply(c,b))),
inference(demodulation,[status(thm)],[c_58,c_7064]) ).
cnf(c_7078,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_7077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP200-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 29 01:12:56 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.14/0.46 Running UEQ theorem proving
% 0.14/0.46 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
% 2.59/1.16 % SZS status Started for theBenchmark.p
% 2.59/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.59/1.16
% 2.59/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.59/1.16
% 2.59/1.16 ------ iProver source info
% 2.59/1.16
% 2.59/1.16 git: date: 2023-05-31 18:12:56 +0000
% 2.59/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.59/1.16 git: non_committed_changes: false
% 2.59/1.16 git: last_make_outside_of_git: false
% 2.59/1.16
% 2.59/1.16 ------ Parsing...successful
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.59/1.16
% 2.59/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.59/1.16
% 2.59/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.59/1.16 ------ Proving...
% 2.59/1.16 ------ Problem Properties
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16 clauses 10
% 2.59/1.16 conjectures 1
% 2.59/1.16 EPR 0
% 2.59/1.16 Horn 10
% 2.59/1.16 unary 10
% 2.59/1.16 binary 0
% 2.59/1.16 lits 10
% 2.59/1.16 lits eq 10
% 2.59/1.16 fd_pure 0
% 2.59/1.16 fd_pseudo 0
% 2.59/1.16 fd_cond 0
% 2.59/1.16 fd_pseudo_cond 0
% 2.59/1.16 AC symbols 0
% 2.59/1.16
% 2.59/1.16 ------ Input Options Time Limit: Unbounded
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16 ------
% 2.59/1.16 Current options:
% 2.59/1.16 ------
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16 ------ Proving...
% 2.59/1.16
% 2.59/1.16
% 2.59/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.59/1.16
% 2.59/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.59/1.16
% 2.59/1.17
%------------------------------------------------------------------------------