TSTP Solution File: GRP419-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP419-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 00:59:49 EDT 2023
% Result : Unsatisfiable 37.94s 5.66s
% Output : CNFRefutation 37.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 4 RR)
% Number of literals : 38 ( 37 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 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 : 110 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_91,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_111,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)) = X1,
inference(superposition,[status(thm)],[c_91,c_49]) ).
cnf(c_116,plain,
inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2)))) = X1,
inference(superposition,[status(thm)],[c_91,c_49]) ).
cnf(c_141,plain,
multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1) = X3,
inference(superposition,[status(thm)],[c_111,c_111]) ).
cnf(c_144,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))))),X1)) = X3,
inference(superposition,[status(thm)],[c_111,c_49]) ).
cnf(c_517,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))) = inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X1))),
inference(superposition,[status(thm)],[c_144,c_49]) ).
cnf(c_694,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_517,c_141]) ).
cnf(c_695,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_517,c_144]) ).
cnf(c_698,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_517,c_517]) ).
cnf(c_1131,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_694,c_111]) ).
cnf(c_1237,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_116,c_1131]) ).
cnf(c_1379,plain,
multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),X3)) = multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_49,c_1237]) ).
cnf(c_2179,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X2))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_111,c_1379]) ).
cnf(c_3035,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_2179,c_2179]) ).
cnf(c_3273,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))))))),multiply(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_3035,c_49]) ).
cnf(c_3287,plain,
multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_3035,c_50]) ).
cnf(c_3326,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))) = X1,
inference(superposition,[status(thm)],[c_3035,c_695]) ).
cnf(c_3334,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_3035,c_698]) ).
cnf(c_3568,plain,
inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_3334,c_3334]) ).
cnf(c_4297,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_3568,c_3568]) ).
cnf(c_6777,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_3035,c_3326]) ).
cnf(c_7038,plain,
inverse(inverse(multiply(inverse(X0),X0))) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_6777,c_3568]) ).
cnf(c_9197,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_7038,c_6777]) ).
cnf(c_20237,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_9197,c_3273]) ).
cnf(c_22592,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_20237,c_4297]) ).
cnf(c_22968,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_22592,c_9197]) ).
cnf(c_23098,plain,
inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))) = X1,
inference(superposition,[status(thm)],[c_22592,c_9197]) ).
cnf(c_23133,plain,
inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(X0,X2))) = inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),
inference(superposition,[status(thm)],[c_22592,c_3273]) ).
cnf(c_52811,plain,
inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_22592,c_22968]) ).
cnf(c_73471,plain,
inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))) = inverse(multiply(inverse(X1),multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_23133,c_52811]) ).
cnf(c_73828,plain,
inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_73471,c_23098]) ).
cnf(c_75439,plain,
inverse(multiply(multiply(inverse(X0),X0),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_73828,c_52811]) ).
cnf(c_75902,plain,
inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = multiply(multiply(inverse(X2),X2),X0),
inference(superposition,[status(thm)],[c_75439,c_73828]) ).
cnf(c_75980,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(light_normalisation,[status(thm)],[c_75902,c_73828]) ).
cnf(c_75985,plain,
a2 != a2,
inference(demodulation,[status(thm)],[c_3287,c_75980]) ).
cnf(c_75994,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_75985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP419-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:58:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running UEQ theorem proving
% 0.21/0.49 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
% 37.94/5.66 % SZS status Started for theBenchmark.p
% 37.94/5.66 % SZS status Unsatisfiable for theBenchmark.p
% 37.94/5.66
% 37.94/5.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 37.94/5.66
% 37.94/5.66 ------ iProver source info
% 37.94/5.66
% 37.94/5.66 git: date: 2023-05-31 18:12:56 +0000
% 37.94/5.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 37.94/5.66 git: non_committed_changes: false
% 37.94/5.66 git: last_make_outside_of_git: false
% 37.94/5.66
% 37.94/5.66 ------ Parsing...successful
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 37.94/5.66
% 37.94/5.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 37.94/5.66
% 37.94/5.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 37.94/5.66 ------ Proving...
% 37.94/5.66 ------ Problem Properties
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66 clauses 2
% 37.94/5.66 conjectures 1
% 37.94/5.66 EPR 0
% 37.94/5.66 Horn 2
% 37.94/5.66 unary 2
% 37.94/5.66 binary 0
% 37.94/5.66 lits 2
% 37.94/5.66 lits eq 2
% 37.94/5.66 fd_pure 0
% 37.94/5.66 fd_pseudo 0
% 37.94/5.66 fd_cond 0
% 37.94/5.66 fd_pseudo_cond 0
% 37.94/5.66 AC symbols 0
% 37.94/5.66
% 37.94/5.66 ------ Input Options Time Limit: Unbounded
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66 ------
% 37.94/5.66 Current options:
% 37.94/5.66 ------
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66 ------ Proving...
% 37.94/5.66
% 37.94/5.66
% 37.94/5.66 % SZS status Unsatisfiable for theBenchmark.p
% 37.94/5.66
% 37.94/5.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.94/5.66
% 37.94/5.67
%------------------------------------------------------------------------------