TSTP Solution File: GRP408-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP408-1 : 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 : Thu Aug 31 00:59:46 EDT 2023
% Result : Unsatisfiable 46.78s 6.63s
% Output : CNFRefutation 46.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 3 RR)
% Number of literals : 45 ( 44 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 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 : 126 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_92,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_120,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X2,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_131,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_208,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(inverse(X1),multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_131,c_131]) ).
cnf(c_247,plain,
multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,multiply(inverse(multiply(X0,X2)),multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))) = multiply(inverse(X1),multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_208,c_49]) ).
cnf(c_258,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_208,c_120]) ).
cnf(c_302,plain,
multiply(inverse(multiply(X0,multiply(inverse(X1),multiply(inverse(X1),X1)))),multiply(X0,X2)) = multiply(X3,multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),X2)),
inference(superposition,[status(thm)],[c_208,c_258]) ).
cnf(c_352,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X1),X1)))))) = multiply(inverse(X1),X3),
inference(superposition,[status(thm)],[c_258,c_120]) ).
cnf(c_429,plain,
inverse(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X0),multiply(inverse(X0),X0)))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))),
inference(superposition,[status(thm)],[c_352,c_208]) ).
cnf(c_1235,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_247,c_120]) ).
cnf(c_2824,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,multiply(inverse(X2),X2)))),
inference(superposition,[status(thm)],[c_429,c_429]) ).
cnf(c_4289,plain,
multiply(inverse(multiply(X0,multiply(inverse(X1),multiply(inverse(X1),X1)))),multiply(X0,multiply(inverse(X1),multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_1235,c_302]) ).
cnf(c_5048,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_4289,c_4289]) ).
cnf(c_5342,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X3),X3))))) = X2,
inference(superposition,[status(thm)],[c_5048,c_49]) ).
cnf(c_5374,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),multiply(inverse(X1),X1)))) = X1,
inference(superposition,[status(thm)],[c_5048,c_208]) ).
cnf(c_5549,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_5048,c_5374]) ).
cnf(c_6025,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_5048,c_5549]) ).
cnf(c_6126,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_5549,c_2824]) ).
cnf(c_6129,plain,
inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_5549,c_5549]) ).
cnf(c_6248,plain,
multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_6025,c_5048]) ).
cnf(c_6319,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_6025,c_258]) ).
cnf(c_10803,plain,
inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),multiply(inverse(X2),X2))) = X1,
inference(superposition,[status(thm)],[c_6248,c_6126]) ).
cnf(c_33823,plain,
multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(multiply(X0,multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_6129,c_10803]) ).
cnf(c_37607,plain,
inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_33823,c_6129]) ).
cnf(c_37814,plain,
multiply(inverse(inverse(multiply(multiply(inverse(X0),X0),X1))),multiply(inverse(X2),X2)) = X1,
inference(superposition,[status(thm)],[c_33823,c_10803]) ).
cnf(c_39130,plain,
inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1))),X2)) = inverse(X2),
inference(superposition,[status(thm)],[c_5342,c_37607]) ).
cnf(c_43779,plain,
multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1))),X2))),multiply(inverse(X3),X3)) = X2,
inference(superposition,[status(thm)],[c_33823,c_37814]) ).
cnf(c_44024,plain,
multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_43779,c_39130]) ).
cnf(c_44028,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(demodulation,[status(thm)],[c_37814,c_44024]) ).
cnf(c_44036,plain,
inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_6129,c_44028]) ).
cnf(c_44270,plain,
multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_6319,c_44028]) ).
cnf(c_44369,plain,
multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_44028,c_258]) ).
cnf(c_44437,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_44369,c_44028]) ).
cnf(c_50750,plain,
multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_44036,c_44437]) ).
cnf(c_50900,plain,
inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_44437,c_44036]) ).
cnf(c_50903,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_50750,c_44270]) ).
cnf(c_50998,plain,
multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_44437,c_50903]) ).
cnf(c_51009,plain,
multiply(inverse(multiply(inverse(X0),X1)),X2) = multiply(inverse(X1),multiply(X0,X2)),
inference(superposition,[status(thm)],[c_50903,c_44437]) ).
cnf(c_51021,plain,
multiply(multiply(inverse(X0),X1),X2) = multiply(inverse(X0),multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_51009,c_50900]) ).
cnf(c_51027,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_44028,c_51021]) ).
cnf(c_54813,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_51027,c_50998]) ).
cnf(c_54877,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_54813]) ).
cnf(c_54879,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_54877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP408-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 01:39:02 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.18/0.43 Running UEQ theorem proving
% 0.18/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 46.78/6.63 % SZS status Started for theBenchmark.p
% 46.78/6.63 % SZS status Unsatisfiable for theBenchmark.p
% 46.78/6.63
% 46.78/6.63 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 46.78/6.63
% 46.78/6.63 ------ iProver source info
% 46.78/6.63
% 46.78/6.63 git: date: 2023-05-31 18:12:56 +0000
% 46.78/6.63 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 46.78/6.63 git: non_committed_changes: false
% 46.78/6.63 git: last_make_outside_of_git: false
% 46.78/6.63
% 46.78/6.63 ------ Parsing...successful
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 46.78/6.63
% 46.78/6.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.78/6.63
% 46.78/6.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 46.78/6.63 ------ Proving...
% 46.78/6.63 ------ Problem Properties
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63 clauses 2
% 46.78/6.63 conjectures 1
% 46.78/6.63 EPR 0
% 46.78/6.63 Horn 2
% 46.78/6.63 unary 2
% 46.78/6.63 binary 0
% 46.78/6.63 lits 2
% 46.78/6.63 lits eq 2
% 46.78/6.63 fd_pure 0
% 46.78/6.63 fd_pseudo 0
% 46.78/6.63 fd_cond 0
% 46.78/6.63 fd_pseudo_cond 0
% 46.78/6.63 AC symbols 0
% 46.78/6.63
% 46.78/6.63 ------ Input Options Time Limit: Unbounded
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63 ------
% 46.78/6.63 Current options:
% 46.78/6.63 ------
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63 ------ Proving...
% 46.78/6.63
% 46.78/6.63
% 46.78/6.63 % SZS status Unsatisfiable for theBenchmark.p
% 46.78/6.63
% 46.78/6.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.78/6.63
% 46.78/6.64
%------------------------------------------------------------------------------