TSTP Solution File: GRP442-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP442-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 00:59:55 EDT 2023
% Result : Unsatisfiable 54.66s 7.67s
% Output : CNFRefutation 54.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 2
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 2 RR)
% Number of literals : 68 ( 67 equ; 1 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 248 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = 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_92,plain,
inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))),multiply(multiply(X4,inverse(X4)),X2)))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_102,plain,
inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))),multiply(multiply(multiply(X4,inverse(X4)),X1),multiply(multiply(X5,inverse(X5)),X2)))) = X3,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_105,plain,
inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(multiply(X4,inverse(X4)),X5)))) = multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,multiply(X3,X5)))),
inference(superposition,[status(thm)],[c_92,c_92]) ).
cnf(c_234,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),X1)))),X2)))) = X3,
inference(superposition,[status(thm)],[c_105,c_92]) ).
cnf(c_237,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X2)))) = X3,
inference(superposition,[status(thm)],[c_105,c_102]) ).
cnf(c_390,plain,
inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),X3)))),multiply(X0,X1))) = X3,
inference(superposition,[status(thm)],[c_234,c_49]) ).
cnf(c_490,plain,
multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(superposition,[status(thm)],[c_390,c_237]) ).
cnf(c_620,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),multiply(X0,X1))))))) = multiply(X4,inverse(X4)),
inference(superposition,[status(thm)],[c_490,c_49]) ).
cnf(c_622,plain,
inverse(multiply(X0,multiply(multiply(X1,inverse(X1)),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,multiply(X4,inverse(X4))))))))) = X3,
inference(superposition,[status(thm)],[c_490,c_49]) ).
cnf(c_623,plain,
inverse(multiply(multiply(X0,inverse(X0)),multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(multiply(X4,inverse(X4)),X1))))))) = X3,
inference(superposition,[status(thm)],[c_490,c_49]) ).
cnf(c_938,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_620,c_620]) ).
cnf(c_1294,plain,
inverse(multiply(X0,multiply(X1,multiply(X2,inverse(X2))))) = inverse(multiply(X0,multiply(X1,multiply(X3,inverse(X3))))),
inference(superposition,[status(thm)],[c_622,c_390]) ).
cnf(c_1596,plain,
multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3) = multiply(X4,inverse(X4)),
inference(superposition,[status(thm)],[c_49,c_938]) ).
cnf(c_1670,plain,
inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),X2)))),multiply(X3,inverse(X3)))) = X2,
inference(superposition,[status(thm)],[c_938,c_390]) ).
cnf(c_1672,plain,
inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,inverse(X3)))))))) = X2,
inference(superposition,[status(thm)],[c_938,c_49]) ).
cnf(c_1681,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(X1,X3)))) = inverse(X3),
inference(superposition,[status(thm)],[c_938,c_237]) ).
cnf(c_1692,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),multiply(X3,inverse(X3))))) = X2,
inference(superposition,[status(thm)],[c_938,c_237]) ).
cnf(c_1712,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))) = multiply(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_938,c_490]) ).
cnf(c_1894,plain,
multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),inverse(multiply(X2,inverse(X2)))) = multiply(X3,inverse(X3)),
inference(superposition,[status(thm)],[c_1712,c_1712]) ).
cnf(c_2960,plain,
inverse(multiply(X0,multiply(inverse(X0),X1))) = inverse(multiply(X2,multiply(inverse(X2),X1))),
inference(superposition,[status(thm)],[c_237,c_1672]) ).
cnf(c_4511,plain,
inverse(multiply(X0,multiply(inverse(X0),inverse(inverse(X1))))) = inverse(multiply(X1,multiply(X2,inverse(X2)))),
inference(superposition,[status(thm)],[c_938,c_2960]) ).
cnf(c_5635,plain,
inverse(multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),multiply(X3,inverse(inverse(X4))))) = inverse(multiply(X4,multiply(X5,inverse(X5)))),
inference(superposition,[status(thm)],[c_49,c_4511]) ).
cnf(c_5753,plain,
inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,multiply(X3,inverse(X3)))))))) = X0,
inference(superposition,[status(thm)],[c_4511,c_49]) ).
cnf(c_5801,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))))) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_4511,c_237]) ).
cnf(c_6503,plain,
inverse(multiply(inverse(X0),multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),X2))) = X0,
inference(superposition,[status(thm)],[c_237,c_5753]) ).
cnf(c_7949,plain,
multiply(inverse(inverse(inverse(multiply(X0,multiply(inverse(X0),X1))))),multiply(X1,multiply(multiply(X2,inverse(X2)),X3))) = X3,
inference(superposition,[status(thm)],[c_6503,c_390]) ).
cnf(c_32882,plain,
inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,inverse(X3)))))))) = multiply(X4,multiply(X5,multiply(multiply(X6,inverse(X6)),inverse(multiply(inverse(X2),multiply(X4,X5)))))),
inference(superposition,[status(thm)],[c_5635,c_1672]) ).
cnf(c_33135,plain,
multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(X3),multiply(X0,X1)))))) = X3,
inference(light_normalisation,[status(thm)],[c_32882,c_1672]) ).
cnf(c_34386,plain,
multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(X3))))),multiply(X0,X1)) = X3,
inference(superposition,[status(thm)],[c_234,c_33135]) ).
cnf(c_34391,plain,
multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_1681,c_33135]) ).
cnf(c_34392,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_1692,c_33135]) ).
cnf(c_36195,plain,
inverse(multiply(X0,multiply(multiply(inverse(X0),X1),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,multiply(inverse(X4),X1)))))))) = X3,
inference(superposition,[status(thm)],[c_34392,c_49]) ).
cnf(c_36282,plain,
multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),X2)) = multiply(X3,multiply(inverse(X3),X2)),
inference(superposition,[status(thm)],[c_34392,c_490]) ).
cnf(c_36344,plain,
multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = multiply(X1,multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_34392,c_34391]) ).
cnf(c_36599,plain,
multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),multiply(X4,inverse(X4))) = multiply(X5,multiply(inverse(X5),inverse(X3))),
inference(superposition,[status(thm)],[c_49,c_36344]) ).
cnf(c_37431,plain,
multiply(X0,multiply(multiply(X1,inverse(X1)),X2)) = multiply(X0,multiply(multiply(X3,inverse(X3)),X2)),
inference(superposition,[status(thm)],[c_623,c_34386]) ).
cnf(c_37464,plain,
multiply(inverse(inverse(X0)),multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),X2)) = X0,
inference(superposition,[status(thm)],[c_7949,c_34386]) ).
cnf(c_37506,plain,
multiply(inverse(multiply(X0,multiply(X1,multiply(X2,inverse(X2))))),multiply(X0,X1)) = multiply(X3,inverse(X3)),
inference(superposition,[status(thm)],[c_1894,c_34386]) ).
cnf(c_39496,plain,
multiply(X0,multiply(X1,multiply(inverse(X1),X2))) = multiply(X0,multiply(X3,multiply(inverse(X3),X2))),
inference(superposition,[status(thm)],[c_36195,c_34386]) ).
cnf(c_51114,plain,
multiply(X0,multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = multiply(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_36599,c_1596]) ).
cnf(c_52495,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))))) = inverse(multiply(inverse(X1),inverse(multiply(X4,inverse(X4))))),
inference(superposition,[status(thm)],[c_51114,c_1681]) ).
cnf(c_52498,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(X1,X3)))) = multiply(inverse(X3),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[status(thm)],[c_51114,c_237]) ).
cnf(c_52902,plain,
multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_52498,c_1681]) ).
cnf(c_52905,plain,
inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = inverse(inverse(X0)),
inference(light_normalisation,[status(thm)],[c_52495,c_5801]) ).
cnf(c_53462,plain,
multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_36195,c_52902]) ).
cnf(c_53677,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3))))),multiply(X1,X2)))) = X0,
inference(superposition,[status(thm)],[c_37506,c_53462]) ).
cnf(c_53810,plain,
inverse(multiply(X0,multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0)))))) = X3,
inference(superposition,[status(thm)],[c_53462,c_49]) ).
cnf(c_54606,plain,
inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,inverse(X2))))) = X0,
inference(superposition,[status(thm)],[c_53810,c_1294]) ).
cnf(c_58109,plain,
inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(inverse(X2),multiply(inverse(multiply(X3,inverse(X3))),multiply(X4,inverse(X4)))),X2),inverse(multiply(X5,multiply(X0,X1))))))) = X5,
inference(superposition,[status(thm)],[c_54606,c_49]) ).
cnf(c_58263,plain,
multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),X3))) = X3,
inference(superposition,[status(thm)],[c_54606,c_237]) ).
cnf(c_70905,plain,
multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))),multiply(inverse(multiply(X2,inverse(X2))),multiply(X3,inverse(X3)))) = X0,
inference(superposition,[status(thm)],[c_58109,c_54606]) ).
cnf(c_70907,plain,
multiply(inverse(inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,inverse(X2)))) = X0,
inference(light_normalisation,[status(thm)],[c_70905,c_52905]) ).
cnf(c_76391,plain,
multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),X3))) = multiply(X4,multiply(inverse(X4),multiply(multiply(X5,inverse(X5)),X3))),
inference(superposition,[status(thm)],[c_37431,c_36282]) ).
cnf(c_77010,plain,
multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),X2))) = X2,
inference(light_normalisation,[status(thm)],[c_76391,c_58263]) ).
cnf(c_77014,plain,
inverse(multiply(inverse(X0),multiply(X1,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_1670,c_77010]) ).
cnf(c_77015,plain,
inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = X0,
inference(demodulation,[status(thm)],[c_1672,c_77010]) ).
cnf(c_84428,plain,
multiply(X0,multiply(X1,multiply(inverse(X1),multiply(X2,inverse(X2))))) = X0,
inference(superposition,[status(thm)],[c_77014,c_53677]) ).
cnf(c_85210,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),inverse(inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_77015,c_37464]) ).
cnf(c_87490,plain,
multiply(inverse(inverse(X0)),multiply(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_85210,c_36344]) ).
cnf(c_91873,plain,
multiply(X0,multiply(X1,multiply(inverse(X1),multiply(X2,inverse(X2))))) = multiply(X0,multiply(inverse(X3),X3)),
inference(superposition,[status(thm)],[c_87490,c_39496]) ).
cnf(c_91944,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_91873,c_84428]) ).
cnf(c_92513,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_91944,c_34392]) ).
cnf(c_92582,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_91944,c_70907]) ).
cnf(c_93140,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_92582,c_92513]) ).
cnf(c_93286,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_91944,c_93140]) ).
cnf(c_93572,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_93286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP442-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.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 : Mon Aug 28 21:24:29 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running UEQ theorem proving
% 0.19/0.47 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
% 54.66/7.67 % SZS status Started for theBenchmark.p
% 54.66/7.67 % SZS status Unsatisfiable for theBenchmark.p
% 54.66/7.67
% 54.66/7.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 54.66/7.67
% 54.66/7.67 ------ iProver source info
% 54.66/7.67
% 54.66/7.67 git: date: 2023-05-31 18:12:56 +0000
% 54.66/7.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 54.66/7.67 git: non_committed_changes: false
% 54.66/7.67 git: last_make_outside_of_git: false
% 54.66/7.67
% 54.66/7.67 ------ Parsing...successful
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 54.66/7.67
% 54.66/7.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 54.66/7.67
% 54.66/7.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 54.66/7.67 ------ Proving...
% 54.66/7.67 ------ Problem Properties
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67 clauses 2
% 54.66/7.67 conjectures 1
% 54.66/7.67 EPR 0
% 54.66/7.67 Horn 2
% 54.66/7.67 unary 2
% 54.66/7.67 binary 0
% 54.66/7.67 lits 2
% 54.66/7.67 lits eq 2
% 54.66/7.67 fd_pure 0
% 54.66/7.67 fd_pseudo 0
% 54.66/7.67 fd_cond 0
% 54.66/7.67 fd_pseudo_cond 0
% 54.66/7.67 AC symbols 0
% 54.66/7.67
% 54.66/7.67 ------ Input Options Time Limit: Unbounded
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67 ------
% 54.66/7.67 Current options:
% 54.66/7.67 ------
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67 ------ Proving...
% 54.66/7.67
% 54.66/7.67
% 54.66/7.67 % SZS status Unsatisfiable for theBenchmark.p
% 54.66/7.67
% 54.66/7.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.66/7.67
% 54.66/7.67
%------------------------------------------------------------------------------