TSTP Solution File: BOO067-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO067-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:08:44 EDT 2024
% Result : Unsatisfiable 47.09s 6.61s
% Output : CNFRefutation 47.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 7 RR)
% Number of literals : 35 ( 34 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 103 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms_1) ).
cnf(c_95,plain,
multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_129,plain,
multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),X0) = X1,
inference(superposition,[status(thm)],[c_95,c_49]) ).
cnf(c_186,plain,
multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),multiply(X5,inverse(multiply(X4,inverse(X4),X6)),X6),multiply(X2,X3,inverse(X4)))),multiply(X3,X5,X2)) = X1,
inference(superposition,[status(thm)],[c_129,c_49]) ).
cnf(c_427,plain,
multiply(multiply(X0,inverse(X0),X1),inverse(X2),multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X3,X5),multiply(inverse(X3),inverse(multiply(X5,inverse(X5),X6)),X6),multiply(X4,X3,inverse(X5)))),X2),X3)) = X1,
inference(superposition,[status(thm)],[c_186,c_49]) ).
cnf(c_1077,plain,
multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = X1,
inference(superposition,[status(thm)],[c_186,c_427]) ).
cnf(c_1420,plain,
multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = multiply(inverse(X5),X1,X5),
inference(superposition,[status(thm)],[c_1077,c_1077]) ).
cnf(c_1467,plain,
multiply(inverse(X0),X1,X0) = X1,
inference(light_normalisation,[status(thm)],[c_1420,c_1077]) ).
cnf(c_1476,plain,
multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = X0,
inference(demodulation,[status(thm)],[c_129,c_1467]) ).
cnf(c_1659,plain,
inverse(multiply(X0,inverse(X0),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_1476,c_1467]) ).
cnf(c_1665,plain,
multiply(X0,inverse(X1),X1) = X0,
inference(demodulation,[status(thm)],[c_1476,c_1659]) ).
cnf(c_1700,plain,
multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = X0,
inference(superposition,[status(thm)],[c_1665,c_49]) ).
cnf(c_1713,plain,
multiply(X0,inverse(X0),X1) = X1,
inference(demodulation,[status(thm)],[c_49,c_1700]) ).
cnf(c_1714,plain,
multiply(X0,multiply(X1,inverse(multiply(X2,X0,X3)),X3),X2) = multiply(X2,X0,X1),
inference(demodulation,[status(thm)],[c_95,c_1700]) ).
cnf(c_1728,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_1467,c_1713]) ).
cnf(c_1732,plain,
multiply(X0,X1,multiply(X0,X1,X2)) = multiply(X1,X2,X0),
inference(superposition,[status(thm)],[c_1713,c_1714]) ).
cnf(c_1771,plain,
multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X1,multiply(X4,X3,X2),X0),
inference(superposition,[status(thm)],[c_1700,c_1713]) ).
cnf(c_1779,plain,
multiply(d,e,multiply(a,b,c)) != multiply(e,multiply(c,b,a),d),
inference(demodulation,[status(thm)],[c_50,c_1771]) ).
cnf(c_1802,plain,
multiply(X0,X1,inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_1728,c_1467]) ).
cnf(c_1803,plain,
multiply(X0,X1,inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_1728,c_1665]) ).
cnf(c_1844,plain,
multiply(X0,inverse(X1),X1) = multiply(X1,X0,X0),
inference(superposition,[status(thm)],[c_1802,c_1732]) ).
cnf(c_1845,plain,
multiply(X0,inverse(X0),X1) = multiply(X1,X0,X1),
inference(superposition,[status(thm)],[c_1803,c_1732]) ).
cnf(c_1850,plain,
multiply(X0,X1,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1845,c_1713]) ).
cnf(c_1851,plain,
multiply(X0,X1,X1) = X1,
inference(light_normalisation,[status(thm)],[c_1844,c_1665]) ).
cnf(c_1869,plain,
multiply(X0,X1,X2) = multiply(X1,X2,X0),
inference(superposition,[status(thm)],[c_1850,c_1714]) ).
cnf(c_1872,plain,
multiply(d,e,multiply(a,b,c)) != multiply(e,multiply(b,a,c),d),
inference(demodulation,[status(thm)],[c_1779,c_1869]) ).
cnf(c_1985,plain,
multiply(d,e,multiply(a,b,c)) != multiply(e,multiply(a,c,b),d),
inference(demodulation,[status(thm)],[c_1872,c_1869]) ).
cnf(c_2050,plain,
multiply(d,e,multiply(a,b,c)) != multiply(d,e,multiply(a,c,b)),
inference(superposition,[status(thm)],[c_1869,c_1985]) ).
cnf(c_36366,plain,
multiply(multiply(X0,inverse(X0),X1),X2,X3) = multiply(inverse(X0),multiply(X3,X2,X1),X0),
inference(superposition,[status(thm)],[c_1713,c_1771]) ).
cnf(c_36619,plain,
multiply(inverse(X0),multiply(X1,X2,X3),X0) = multiply(X3,X2,X1),
inference(light_normalisation,[status(thm)],[c_36366,c_1713]) ).
cnf(c_37030,plain,
multiply(X0,X1,X2) = multiply(X2,X1,X0),
inference(superposition,[status(thm)],[c_36619,c_1851]) ).
cnf(c_37463,plain,
multiply(X0,X1,X2) = multiply(X0,X2,X1),
inference(superposition,[status(thm)],[c_37030,c_1869]) ).
cnf(c_37593,plain,
multiply(d,e,multiply(a,b,c)) != multiply(d,e,multiply(a,b,c)),
inference(demodulation,[status(thm)],[c_2050,c_37463]) ).
cnf(c_37594,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_37593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : BOO067-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 21:52:31 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.41 Running UEQ theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 47.09/6.61 % SZS status Started for theBenchmark.p
% 47.09/6.61 % SZS status Unsatisfiable for theBenchmark.p
% 47.09/6.61
% 47.09/6.61 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 47.09/6.61
% 47.09/6.61 ------ iProver source info
% 47.09/6.61
% 47.09/6.61 git: date: 2024-05-02 19:28:25 +0000
% 47.09/6.61 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 47.09/6.61 git: non_committed_changes: false
% 47.09/6.61
% 47.09/6.61 ------ Parsing...successful
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 47.09/6.61
% 47.09/6.61 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 47.09/6.61
% 47.09/6.61 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 47.09/6.61 ------ Proving...
% 47.09/6.61 ------ Problem Properties
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61 clauses 2
% 47.09/6.61 conjectures 1
% 47.09/6.61 EPR 0
% 47.09/6.61 Horn 2
% 47.09/6.61 unary 2
% 47.09/6.61 binary 0
% 47.09/6.61 lits 2
% 47.09/6.61 lits eq 2
% 47.09/6.61 fd_pure 0
% 47.09/6.61 fd_pseudo 0
% 47.09/6.61 fd_cond 0
% 47.09/6.61 fd_pseudo_cond 0
% 47.09/6.61 AC symbols 0
% 47.09/6.61
% 47.09/6.61 ------ Input Options Time Limit: Unbounded
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61 ------
% 47.09/6.61 Current options:
% 47.09/6.61 ------
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61 ------ Proving...
% 47.09/6.61
% 47.09/6.61
% 47.09/6.61 % SZS status Unsatisfiable for theBenchmark.p
% 47.09/6.61
% 47.09/6.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.09/6.61
% 47.09/6.61
%------------------------------------------------------------------------------