TSTP Solution File: GRP436-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP436-1 : TPTP v8.2.0. Released v2.6.0.
% 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 : Mon Jun 24 07:00:19 EDT 2024
% Result : Unsatisfiable 23.41s 3.50s
% Output : CNFRefutation 23.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of clauses : 50 ( 50 unt; 0 nHn; 2 RR)
% Number of literals : 50 ( 49 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 192 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c_91,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X0))))) = X4,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_93,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))),multiply(X4,multiply(X2,X0))))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_107,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))),
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_160,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(X1,inverse(X2))))))))),inverse(X4))) = X3,
inference(superposition,[status(thm)],[c_107,c_49]) ).
cnf(c_165,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1))) = X3,
inference(superposition,[status(thm)],[c_107,c_93]) ).
cnf(c_174,plain,
multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X0,multiply(X3,inverse(X4))),multiply(X4,multiply(X1,X2)))))))) = X3,
inference(superposition,[status(thm)],[c_107,c_49]) ).
cnf(c_300,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(X2)),X3))),inverse(X1))) = inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),X3)))),
inference(superposition,[status(thm)],[c_49,c_165]) ).
cnf(c_448,plain,
multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X2))) = X3,
inference(superposition,[status(thm)],[c_49,c_174]) ).
cnf(c_613,plain,
multiply(inverse(X0),inverse(multiply(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))),inverse(multiply(X5,multiply(X0,X3)))),X5))) = X4,
inference(superposition,[status(thm)],[c_49,c_448]) ).
cnf(c_823,plain,
multiply(inverse(X0),inverse(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X1))))))) = multiply(inverse(X0),inverse(X4)),
inference(superposition,[status(thm)],[c_91,c_448]) ).
cnf(c_1810,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X3),X0))),X2)))) = X3,
inference(superposition,[status(thm)],[c_300,c_165]) ).
cnf(c_1828,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(X3)),X0))),inverse(X2)))) = X3,
inference(superposition,[status(thm)],[c_300,c_49]) ).
cnf(c_2475,plain,
inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(X2,X3)))),inverse(X4))),multiply(X4,multiply(X1,X2)))) = X3,
inference(superposition,[status(thm)],[c_49,c_1810]) ).
cnf(c_2477,plain,
inverse(multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,multiply(X3,X4)))) = multiply(multiply(inverse(X4),inverse(multiply(X1,X3))),inverse(X0)),
inference(superposition,[status(thm)],[c_93,c_1810]) ).
cnf(c_2507,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X4,multiply(X1,X2)))))))),inverse(X4))) = X3,
inference(superposition,[status(thm)],[c_1810,c_160]) ).
cnf(c_2523,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,X3))),X2))),X1)) = X3,
inference(superposition,[status(thm)],[c_1810,c_165]) ).
cnf(c_2541,plain,
multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))),X2))) = X3,
inference(superposition,[status(thm)],[c_1810,c_613]) ).
cnf(c_2819,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X1))))))),X5)) = multiply(X6,multiply(multiply(inverse(X6),inverse(X4)),X5)),
inference(superposition,[status(thm)],[c_91,c_2523]) ).
cnf(c_2854,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),X2)) = multiply(X3,multiply(multiply(inverse(X3),inverse(X1)),X2)),
inference(light_normalisation,[status(thm)],[c_2819,c_823]) ).
cnf(c_3160,plain,
multiply(X0,multiply(multiply(inverse(X0),X1),X2)) = multiply(X3,multiply(multiply(inverse(X3),X1),X2)),
inference(superposition,[status(thm)],[c_1810,c_2854]) ).
cnf(c_3685,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X3)),X0))),X2))) = X3,
inference(superposition,[status(thm)],[c_1810,c_1828]) ).
cnf(c_6284,plain,
multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,X3)))),X2))),inverse(X1)) = X3,
inference(demodulation,[status(thm)],[c_2475,c_2477]) ).
cnf(c_6338,plain,
multiply(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,X3)))),X2))),X1) = X3,
inference(superposition,[status(thm)],[c_1810,c_6284]) ).
cnf(c_10219,plain,
multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1) = X3,
inference(superposition,[status(thm)],[c_2507,c_3685]) ).
cnf(c_10502,plain,
multiply(multiply(X0,inverse(multiply(X1,X2))),X1) = multiply(multiply(X0,inverse(multiply(X3,X2))),X3),
inference(superposition,[status(thm)],[c_2523,c_10219]) ).
cnf(c_11229,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))) = X0,
inference(superposition,[status(thm)],[c_10502,c_49]) ).
cnf(c_11547,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(X3)),X3))),inverse(X2)))) = X0,
inference(superposition,[status(thm)],[c_300,c_11229]) ).
cnf(c_11552,plain,
multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(inverse(X3),X1))))),X2))) = X0,
inference(superposition,[status(thm)],[c_2507,c_11229]) ).
cnf(c_12404,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_11552,c_2523]) ).
cnf(c_13128,plain,
multiply(X0,multiply(inverse(X0),inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),inverse(X4))))))) = multiply(X4,X3),
inference(superposition,[status(thm)],[c_49,c_12404]) ).
cnf(c_20808,plain,
multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X3)),X3))),X2))) = X0,
inference(superposition,[status(thm)],[c_1810,c_11547]) ).
cnf(c_21150,plain,
multiply(multiply(X0,inverse(X1)),X1) = multiply(multiply(X0,inverse(X2)),X2),
inference(superposition,[status(thm)],[c_20808,c_10219]) ).
cnf(c_21928,plain,
multiply(multiply(X0,X1),inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X3))))) = X0,
inference(superposition,[status(thm)],[c_21150,c_49]) ).
cnf(c_21987,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),X1)) = multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X3)),
inference(superposition,[status(thm)],[c_21150,c_3160]) ).
cnf(c_26678,plain,
multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X4))))),X2))) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[status(thm)],[c_21987,c_2541]) ).
cnf(c_32651,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_11229,c_13128]) ).
cnf(c_35150,plain,
multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X1,inverse(X2)),X2),
inference(superposition,[status(thm)],[c_32651,c_21150]) ).
cnf(c_35168,plain,
multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),X1)) = multiply(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_32651,c_21928]) ).
cnf(c_38177,plain,
multiply(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X4)),X4))))),X2))),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_35168,c_6338]) ).
cnf(c_38252,plain,
multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_38177,c_26678]) ).
cnf(c_39431,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_1810,c_38252]) ).
cnf(c_39564,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_35150,c_39431]) ).
cnf(c_39622,plain,
multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,X3)))),X2))) = multiply(X3,inverse(X1)),
inference(superposition,[status(thm)],[c_39431,c_2541]) ).
cnf(c_39724,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_2541,c_39622]) ).
cnf(c_40762,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_39724,c_39564]) ).
cnf(c_41200,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_40762,c_39564]) ).
cnf(c_41557,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_41200,c_39431]) ).
cnf(c_41608,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_41557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : GRP436-1 : TPTP v8.2.0. Released v2.6.0.
% 0.08/0.08 % 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 : Thu Jun 20 10:18:09 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.37 Running UEQ theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.41/3.50 % SZS status Started for theBenchmark.p
% 23.41/3.50 % SZS status Unsatisfiable for theBenchmark.p
% 23.41/3.50
% 23.41/3.50 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.41/3.50
% 23.41/3.50 ------ iProver source info
% 23.41/3.50
% 23.41/3.50 git: date: 2024-06-12 09:56:46 +0000
% 23.41/3.50 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 23.41/3.50 git: non_committed_changes: false
% 23.41/3.50
% 23.41/3.50 ------ Parsing...successful
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.41/3.50
% 23.41/3.50 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.41/3.50
% 23.41/3.50 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.41/3.50 ------ Proving...
% 23.41/3.50 ------ Problem Properties
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50 clauses 2
% 23.41/3.50 conjectures 1
% 23.41/3.50 EPR 0
% 23.41/3.50 Horn 2
% 23.41/3.50 unary 2
% 23.41/3.50 binary 0
% 23.41/3.50 lits 2
% 23.41/3.50 lits eq 2
% 23.41/3.50 fd_pure 0
% 23.41/3.50 fd_pseudo 0
% 23.41/3.50 fd_cond 0
% 23.41/3.50 fd_pseudo_cond 0
% 23.41/3.50 AC symbols 0
% 23.41/3.50
% 23.41/3.50 ------ Input Options Time Limit: Unbounded
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50 ------
% 23.41/3.50 Current options:
% 23.41/3.50 ------
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50 ------ Proving...
% 23.41/3.50
% 23.41/3.50
% 23.41/3.50 % SZS status Unsatisfiable for theBenchmark.p
% 23.41/3.50
% 23.41/3.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.41/3.50
% 23.41/3.51
%------------------------------------------------------------------------------