TSTP Solution File: GRP414-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP414-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 : Fri May 3 02:22:31 EDT 2024
% Result : Unsatisfiable 23.63s 3.64s
% Output : CNFRefutation 23.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 2
% Syntax : Number of clauses : 72 ( 72 unt; 0 nHn; 3 RR)
% Number of literals : 72 ( 71 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 212 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_92,plain,
inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),X3))),X0)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_118,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_129,plain,
inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)) = X3,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_171,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X0))),X2))),X0) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X2,X1)))),
inference(superposition,[status(thm)],[c_49,c_118]) ).
cnf(c_222,plain,
inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0)) = X2,
inference(superposition,[status(thm)],[c_129,c_129]) ).
cnf(c_256,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_222,c_118]) ).
cnf(c_301,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_222,c_256]) ).
cnf(c_383,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),inverse(multiply(inverse(multiply(X0,inverse(multiply(X3,X2)))),X4))),multiply(X3,X2)))) = X4,
inference(superposition,[status(thm)],[c_301,c_49]) ).
cnf(c_1192,plain,
inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_171,c_222]) ).
cnf(c_1212,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0)))))) = X2,
inference(superposition,[status(thm)],[c_171,c_383]) ).
cnf(c_1216,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X0))),multiply(multiply(inverse(X1),X1),inverse(X2))))),X0) = X2,
inference(superposition,[status(thm)],[c_171,c_118]) ).
cnf(c_2089,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X2))))),X0) = X2,
inference(superposition,[status(thm)],[c_301,c_1216]) ).
cnf(c_3607,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(multiply(X2,X3)))),X4))),multiply(X2,X3)))) = X4,
inference(superposition,[status(thm)],[c_2089,c_383]) ).
cnf(c_3902,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X2))),X3))),X2))) = X3,
inference(superposition,[status(thm)],[c_3607,c_3607]) ).
cnf(c_3953,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))) = multiply(X0,inverse(multiply(multiply(multiply(inverse(X3),X3),X2),X1))),
inference(superposition,[status(thm)],[c_1192,c_3902]) ).
cnf(c_4205,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X3))) = multiply(X0,inverse(multiply(multiply(multiply(inverse(X4),X4),X2),X3))),
inference(superposition,[status(thm)],[c_3953,c_3953]) ).
cnf(c_4481,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X1)))) = X3,
inference(superposition,[status(thm)],[c_4205,c_118]) ).
cnf(c_4521,plain,
inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X1))))) = X3,
inference(superposition,[status(thm)],[c_4205,c_1192]) ).
cnf(c_4952,plain,
multiply(multiply(inverse(X0),X0),inverse(X1)) = multiply(multiply(inverse(X2),X2),inverse(X1)),
inference(superposition,[status(thm)],[c_4481,c_1212]) ).
cnf(c_5045,plain,
multiply(multiply(inverse(X0),X0),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(superposition,[status(thm)],[c_222,c_4952]) ).
cnf(c_5278,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(multiply(inverse(X2),X2),X0)))))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_5045,c_1212]) ).
cnf(c_5296,plain,
inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)))),X2)) = X3,
inference(superposition,[status(thm)],[c_5045,c_222]) ).
cnf(c_5318,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,X2)))))) = X3,
inference(superposition,[status(thm)],[c_5045,c_1212]) ).
cnf(c_5320,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))))),X2) = X3,
inference(superposition,[status(thm)],[c_5045,c_2089]) ).
cnf(c_22214,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_5278,c_5278]) ).
cnf(c_23154,plain,
inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X2)) = inverse(X2),
inference(superposition,[status(thm)],[c_22214,c_5296]) ).
cnf(c_23160,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X2) = X2,
inference(superposition,[status(thm)],[c_22214,c_5320]) ).
cnf(c_23442,plain,
multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X2)),X3) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_23160,c_301]) ).
cnf(c_23513,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_23442,c_23154]) ).
cnf(c_23530,plain,
inverse(multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X0)))) = X2,
inference(demodulation,[status(thm)],[c_4521,c_23513]) ).
cnf(c_23535,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(X2)))),X1) = X2,
inference(demodulation,[status(thm)],[c_5320,c_23513]) ).
cnf(c_23536,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2,
inference(demodulation,[status(thm)],[c_5318,c_23513]) ).
cnf(c_23687,plain,
multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_22214,c_23513]) ).
cnf(c_24608,plain,
multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_3902,c_23687]) ).
cnf(c_28409,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X2))))) = inverse(X1),
inference(superposition,[status(thm)],[c_22214,c_23536]) ).
cnf(c_29532,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_23530,c_28409]) ).
cnf(c_30269,plain,
multiply(multiply(inverse(X0),X0),inverse(inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_24608,c_29532]) ).
cnf(c_30376,plain,
multiply(X0,inverse(multiply(multiply(X0,inverse(X1)),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_29532,c_3902]) ).
cnf(c_30515,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_24608,c_30376]) ).
cnf(c_30755,plain,
multiply(multiply(X0,inverse(multiply(multiply(X0,inverse(X1)),X1))),X2) = X2,
inference(superposition,[status(thm)],[c_30376,c_24608]) ).
cnf(c_30979,plain,
multiply(multiply(inverse(inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))))),inverse(X0)),X2) = X2,
inference(superposition,[status(thm)],[c_29532,c_30755]) ).
cnf(c_32011,plain,
multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(inverse(multiply(inverse(X1),X1))))),X2) = X2,
inference(superposition,[status(thm)],[c_30269,c_24608]) ).
cnf(c_32437,plain,
multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(superposition,[status(thm)],[c_32011,c_23513]) ).
cnf(c_33860,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),inverse(multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_30515,c_23513]) ).
cnf(c_34027,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X0),inverse(multiply(inverse(X2),X2))),
inference(light_normalisation,[status(thm)],[c_33860,c_24608]) ).
cnf(c_35254,plain,
multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_23530,c_34027]) ).
cnf(c_35984,plain,
multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_35254,c_22214]) ).
cnf(c_38626,plain,
multiply(multiply(inverse(inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))))),X0),X2) = X2,
inference(superposition,[status(thm)],[c_23530,c_30979]) ).
cnf(c_39174,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(inverse(multiply(inverse(X1),X1)))),X2) = X2,
inference(superposition,[status(thm)],[c_32437,c_38626]) ).
cnf(c_39440,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_30269,c_39174]) ).
cnf(c_39624,plain,
multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = X1,
inference(demodulation,[status(thm)],[c_23535,c_39440]) ).
cnf(c_39627,plain,
multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(demodulation,[status(thm)],[c_39174,c_39440]) ).
cnf(c_39646,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(demodulation,[status(thm)],[c_35984,c_39627]) ).
cnf(c_40235,plain,
multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = multiply(multiply(inverse(inverse(X1)),inverse(X2)),X2),
inference(superposition,[status(thm)],[c_30376,c_39624]) ).
cnf(c_40236,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_39627,c_39624]) ).
cnf(c_40267,plain,
multiply(multiply(inverse(inverse(X0)),inverse(X1)),X1) = X0,
inference(light_normalisation,[status(thm)],[c_40235,c_39627]) ).
cnf(c_40370,plain,
multiply(multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)),multiply(inverse(X2),X2)) = X0,
inference(superposition,[status(thm)],[c_39646,c_40267]) ).
cnf(c_40391,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_40370,c_40236]) ).
cnf(c_40401,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_40236,c_40391]) ).
cnf(c_40414,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_40267,c_40401]) ).
cnf(c_40415,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_30755,c_40414]) ).
cnf(c_40508,plain,
multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_40401,c_40391]) ).
cnf(c_40565,plain,
multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(superposition,[status(thm)],[c_40415,c_40415]) ).
cnf(c_40582,plain,
multiply(inverse(multiply(X0,inverse(X0))),X1) = multiply(inverse(X2),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_40508,c_23513]) ).
cnf(c_40587,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_40582,c_40565]) ).
cnf(c_40716,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_40401,c_40587]) ).
cnf(c_40744,plain,
multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_23513,c_40716]) ).
cnf(c_43428,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_40587,c_40744]) ).
cnf(c_43481,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_43428]) ).
cnf(c_43482,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_43481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP414-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 00:24:03 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.63/3.64 % SZS status Started for theBenchmark.p
% 23.63/3.64 % SZS status Unsatisfiable for theBenchmark.p
% 23.63/3.64
% 23.63/3.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.63/3.64
% 23.63/3.64 ------ iProver source info
% 23.63/3.64
% 23.63/3.64 git: date: 2024-05-02 19:28:25 +0000
% 23.63/3.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.63/3.64 git: non_committed_changes: false
% 23.63/3.64
% 23.63/3.64 ------ Parsing...successful
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.63/3.64
% 23.63/3.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.63/3.64
% 23.63/3.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.63/3.64 ------ Proving...
% 23.63/3.64 ------ Problem Properties
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64 clauses 2
% 23.63/3.64 conjectures 1
% 23.63/3.64 EPR 0
% 23.63/3.64 Horn 2
% 23.63/3.64 unary 2
% 23.63/3.64 binary 0
% 23.63/3.64 lits 2
% 23.63/3.64 lits eq 2
% 23.63/3.64 fd_pure 0
% 23.63/3.64 fd_pseudo 0
% 23.63/3.64 fd_cond 0
% 23.63/3.64 fd_pseudo_cond 0
% 23.63/3.64 AC symbols 0
% 23.63/3.64
% 23.63/3.64 ------ Input Options Time Limit: Unbounded
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64 ------
% 23.63/3.64 Current options:
% 23.63/3.64 ------
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64 ------ Proving...
% 23.63/3.64
% 23.63/3.64
% 23.63/3.64 % SZS status Unsatisfiable for theBenchmark.p
% 23.63/3.64
% 23.63/3.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.63/3.64
% 23.63/3.64
%------------------------------------------------------------------------------