TSTP Solution File: GRP616-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP616-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Mon Jun 24 07:00:57 EDT 2024
% Result : Unsatisfiable 3.81s 1.13s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 2 RR)
% Number of literals : 37 ( 36 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(c_60,plain,
double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_108,plain,
multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_109,plain,
double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3) = X2,
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_113,plain,
multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
inference(superposition,[status(thm)],[c_60,c_108]) ).
cnf(c_116,plain,
double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_108,c_60]) ).
cnf(c_323,plain,
double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3) = X1,
inference(superposition,[status(thm)],[c_113,c_109]) ).
cnf(c_566,plain,
double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_323,c_60]) ).
cnf(c_568,plain,
double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1)) = X0,
inference(superposition,[status(thm)],[c_50,c_566]) ).
cnf(c_572,plain,
multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_566,c_50]) ).
cnf(c_631,plain,
double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_572,c_60]) ).
cnf(c_743,plain,
double_divide(multiply(X0,X1),double_divide(inverse(X2),X2)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_631]) ).
cnf(c_882,plain,
double_divide(inverse(X0),double_divide(inverse(inverse(X1)),inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_572,c_568]) ).
cnf(c_1260,plain,
double_divide(multiply(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_743,c_568]) ).
cnf(c_1320,plain,
double_divide(multiply(double_divide(X0,X1),multiply(X1,X0)),inverse(X2)) = X2,
inference(superposition,[status(thm)],[c_50,c_1260]) ).
cnf(c_1325,plain,
multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_1260,c_50]) ).
cnf(c_1585,plain,
multiply(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_50,c_1325]) ).
cnf(c_2089,plain,
double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X1))),X3)) = X3,
inference(superposition,[status(thm)],[c_1320,c_116]) ).
cnf(c_2098,plain,
double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_2089,c_1585]) ).
cnf(c_2218,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_2098,c_882]) ).
cnf(c_2271,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_2218]) ).
cnf(c_2276,plain,
multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_2218,c_572]) ).
cnf(c_2279,plain,
double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_2218,c_2098]) ).
cnf(c_2393,plain,
multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_2279,c_50]) ).
cnf(c_2405,plain,
multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
inference(superposition,[status(thm)],[c_50,c_2276]) ).
cnf(c_2406,plain,
multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_2218,c_2276]) ).
cnf(c_2494,plain,
double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_2393,c_2276]) ).
cnf(c_2497,plain,
multiply(X0,double_divide(inverse(X1),X0)) = X1,
inference(demodulation,[status(thm)],[c_2276,c_2494]) ).
cnf(c_2676,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_2406,c_2405]) ).
cnf(c_2750,plain,
multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_2218,c_2497]) ).
cnf(c_2928,plain,
double_divide(double_divide(X0,X1),X1) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2750,c_2271]) ).
cnf(c_2937,plain,
double_divide(double_divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_2928,c_2218]) ).
cnf(c_2968,plain,
inverse(double_divide(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2937,c_2676]) ).
cnf(c_3176,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_2968,c_50]) ).
cnf(c_3181,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_3176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP616-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.02/0.09 % Command : run_iprover %s %d THM
% 0.08/0.28 % Computer : n001.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu Jun 20 11:57:09 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.15/0.43 Running UEQ theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.81/1.13 % SZS status Started for theBenchmark.p
% 3.81/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.13
% 3.81/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.81/1.13
% 3.81/1.13 ------ iProver source info
% 3.81/1.13
% 3.81/1.13 git: date: 2024-06-12 09:56:46 +0000
% 3.81/1.13 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.81/1.13 git: non_committed_changes: false
% 3.81/1.13
% 3.81/1.13 ------ Parsing...successful
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.81/1.13
% 3.81/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.81/1.13
% 3.81/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.81/1.13 ------ Proving...
% 3.81/1.13 ------ Problem Properties
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 clauses 3
% 3.81/1.13 conjectures 1
% 3.81/1.13 EPR 0
% 3.81/1.13 Horn 3
% 3.81/1.13 unary 3
% 3.81/1.13 binary 0
% 3.81/1.13 lits 3
% 3.81/1.13 lits eq 3
% 3.81/1.13 fd_pure 0
% 3.81/1.13 fd_pseudo 0
% 3.81/1.13 fd_cond 0
% 3.81/1.13 fd_pseudo_cond 0
% 3.81/1.13 AC symbols 0
% 3.81/1.13
% 3.81/1.13 ------ Input Options Time Limit: Unbounded
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 ------
% 3.81/1.13 Current options:
% 3.81/1.13 ------
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 ------ Proving...
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.13
% 3.81/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.13
% 3.81/1.13
%------------------------------------------------------------------------------