TSTP Solution File: GRP432-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP432-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 00:59:53 EDT 2023
% Result : Unsatisfiable 27.10s 4.17s
% Output : CNFRefutation 27.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% 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 : 210 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
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_93,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))),multiply(X2,X0)))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_105,plain,
multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))) = multiply(X4,inverse(multiply(multiply(X1,multiply(X5,inverse(X5))),multiply(X2,X4)))),
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_135,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X1,X2))))))) = X3,
inference(superposition,[status(thm)],[c_105,c_49]) ).
cnf(c_140,plain,
multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,X1)))),multiply(X2,X0)))) = X4,
inference(superposition,[status(thm)],[c_105,c_93]) ).
cnf(c_181,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4)))))),X2))) = X3,
inference(superposition,[status(thm)],[c_49,c_135]) ).
cnf(c_182,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),
inference(superposition,[status(thm)],[c_93,c_135]) ).
cnf(c_244,plain,
multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(X1)),
inference(superposition,[status(thm)],[c_135,c_182]) ).
cnf(c_352,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),inverse(X0))))) = X1,
inference(superposition,[status(thm)],[c_244,c_49]) ).
cnf(c_578,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3)))))) = multiply(X4,inverse(multiply(X1,multiply(X2,X4)))),
inference(superposition,[status(thm)],[c_49,c_140]) ).
cnf(c_727,plain,
multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(multiply(X3,inverse(multiply(X4,multiply(X1,X3)))),X0)))) = X4,
inference(superposition,[status(thm)],[c_578,c_49]) ).
cnf(c_750,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(X3,inverse(multiply(X1,multiply(X2,X3)))),
inference(superposition,[status(thm)],[c_578,c_578]) ).
cnf(c_875,plain,
multiply(X0,inverse(multiply(inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(multiply(X3,inverse(multiply(X4,multiply(X1,X3)))),X5))),multiply(multiply(multiply(X6,inverse(X6)),inverse(X4)),X0)))) = X5,
inference(superposition,[status(thm)],[c_727,c_49]) ).
cnf(c_1257,plain,
multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X0)))) = X1,
inference(superposition,[status(thm)],[c_750,c_352]) ).
cnf(c_1364,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X3))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X1)),X0)))) = X3,
inference(superposition,[status(thm)],[c_1257,c_49]) ).
cnf(c_1366,plain,
multiply(inverse(multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4)))))),inverse(multiply(X4,X0))) = X3,
inference(superposition,[status(thm)],[c_1257,c_49]) ).
cnf(c_1380,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))) = multiply(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_1257,c_181]) ).
cnf(c_1484,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_1380,c_1380]) ).
cnf(c_1490,plain,
multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(inverse(X1),multiply(X2,inverse(X2))))) = X1,
inference(superposition,[status(thm)],[c_1380,c_1257]) ).
cnf(c_1658,plain,
multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))),inverse(multiply(X2,multiply(X3,inverse(X3))))) = X1,
inference(superposition,[status(thm)],[c_1484,c_49]) ).
cnf(c_1836,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),X0)))) = inverse(multiply(multiply(X5,inverse(X5)),inverse(multiply(X4,X1)))),
inference(superposition,[status(thm)],[c_1658,c_49]) ).
cnf(c_2435,plain,
multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(X1,inverse(X1)),X2)) = X2,
inference(superposition,[status(thm)],[c_1364,c_1257]) ).
cnf(c_2522,plain,
inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(X3,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X4))),X2),
inference(superposition,[status(thm)],[c_49,c_2435]) ).
cnf(c_2531,plain,
multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))) = inverse(multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_1380,c_2435]) ).
cnf(c_2710,plain,
inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_2531,c_2435]) ).
cnf(c_4328,plain,
multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),X2)) = X2,
inference(superposition,[status(thm)],[c_2522,c_1257]) ).
cnf(c_4329,plain,
multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(multiply(inverse(X2),X1))) = X2,
inference(superposition,[status(thm)],[c_2522,c_1366]) ).
cnf(c_5282,plain,
inverse(multiply(inverse(X0),multiply(X1,inverse(X1)))) = multiply(multiply(X2,inverse(X2)),X0),
inference(superposition,[status(thm)],[c_1490,c_4328]) ).
cnf(c_6560,plain,
multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))))) = inverse(X0),
inference(superposition,[status(thm)],[c_4329,c_1658]) ).
cnf(c_6954,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2)))))) = multiply(multiply(X3,inverse(X3)),X0),
inference(superposition,[status(thm)],[c_5282,c_5282]) ).
cnf(c_7067,plain,
multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(X1)),
inference(light_normalisation,[status(thm)],[c_6954,c_6560]) ).
cnf(c_7078,plain,
inverse(inverse(multiply(inverse(multiply(X0,inverse(X0))),X1))) = X1,
inference(demodulation,[status(thm)],[c_4328,c_7067]) ).
cnf(c_7085,plain,
inverse(multiply(inverse(X0),multiply(X1,inverse(X1)))) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_5282,c_7067]) ).
cnf(c_7086,plain,
multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(X0))))) = X1,
inference(demodulation,[status(thm)],[c_1257,c_7067]) ).
cnf(c_7770,plain,
multiply(inverse(inverse(inverse(multiply(X0,inverse(X0))))),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_7067,c_7067]) ).
cnf(c_9259,plain,
inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(X0),
inference(superposition,[status(thm)],[c_7078,c_7085]) ).
cnf(c_9370,plain,
multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(X0))))) = multiply(X1,multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_9259,c_7086]) ).
cnf(c_9389,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(inverse(X2),inverse(X1)),
inference(superposition,[status(thm)],[c_9259,c_750]) ).
cnf(c_9397,plain,
multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_9370,c_7086]) ).
cnf(c_9463,plain,
multiply(X0,inverse(inverse(inverse(multiply(X1,inverse(X1)))))) = X0,
inference(superposition,[status(thm)],[c_7067,c_9397]) ).
cnf(c_9513,plain,
inverse(inverse(multiply(inverse(inverse(inverse(multiply(X0,inverse(X0))))),X1))) = X1,
inference(superposition,[status(thm)],[c_9463,c_7078]) ).
cnf(c_9533,plain,
inverse(inverse(inverse(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_9513,c_7770]) ).
cnf(c_9644,plain,
inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_2710,c_9533]) ).
cnf(c_9658,plain,
multiply(X0,inverse(multiply(X1,inverse(inverse(X0))))) = inverse(inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_9533,c_7086]) ).
cnf(c_18440,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),X0)))) = inverse(inverse(inverse(inverse(multiply(X4,X1))))),
inference(superposition,[status(thm)],[c_7067,c_1836]) ).
cnf(c_25251,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,inverse(X2)))),multiply(multiply(multiply(X3,inverse(X3)),inverse(X4)),X0)))) = inverse(multiply(X5,inverse(multiply(X4,multiply(X1,X5))))),
inference(superposition,[status(thm)],[c_9397,c_875]) ).
cnf(c_25618,plain,
inverse(multiply(X0,inverse(multiply(X1,multiply(X2,X0))))) = inverse(inverse(inverse(inverse(multiply(X1,X2))))),
inference(light_normalisation,[status(thm)],[c_25251,c_18440]) ).
cnf(c_25619,plain,
inverse(inverse(inverse(inverse(multiply(X0,X1))))) = inverse(multiply(inverse(X1),inverse(X0))),
inference(light_normalisation,[status(thm)],[c_25618,c_9389]) ).
cnf(c_25659,plain,
inverse(multiply(inverse(inverse(X0)),inverse(X0))) = multiply(X1,inverse(X1)),
inference(demodulation,[status(thm)],[c_9644,c_25619]) ).
cnf(c_27210,plain,
inverse(multiply(inverse(X0),X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_9533,c_25659]) ).
cnf(c_27729,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X0)))))) = multiply(X0,multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_27210,c_9658]) ).
cnf(c_27883,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_27729,c_9397,c_9533]) ).
cnf(c_27894,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(inverse(inverse(X1))),
inference(demodulation,[status(thm)],[c_9658,c_27883]) ).
cnf(c_34247,plain,
multiply(inverse(multiply(X0,X1)),inverse(inverse(inverse(inverse(X0))))) = inverse(inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_27894,c_27894]) ).
cnf(c_34282,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(inverse(inverse(X1))),
inference(light_normalisation,[status(thm)],[c_34247,c_27883]) ).
cnf(c_36197,plain,
inverse(inverse(inverse(inverse(multiply(X0,X1))))) = multiply(inverse(inverse(inverse(inverse(X0)))),X1),
inference(superposition,[status(thm)],[c_27894,c_34282]) ).
cnf(c_36258,plain,
inverse(multiply(inverse(X0),inverse(X1))) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_36197,c_25619,c_27883]) ).
cnf(c_37771,plain,
multiply(multiply(X0,inverse(X1)),X1) = inverse(inverse(inverse(inverse(X0)))),
inference(superposition,[status(thm)],[c_27894,c_36258]) ).
cnf(c_37778,plain,
inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_27883,c_36258]) ).
cnf(c_37821,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_36258,c_27883]) ).
cnf(c_37869,plain,
multiply(multiply(X0,X1),inverse(X1)) = inverse(inverse(inverse(inverse(X0)))),
inference(superposition,[status(thm)],[c_36258,c_34282]) ).
cnf(c_37887,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_37869,c_27883]) ).
cnf(c_37888,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(light_normalisation,[status(thm)],[c_37771,c_27883]) ).
cnf(c_38071,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_37887,c_37778]) ).
cnf(c_38319,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_38071,c_37888]) ).
cnf(c_38338,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_27883,c_38319]) ).
cnf(c_48202,plain,
multiply(multiply(inverse(X0),inverse(X1)),multiply(X1,multiply(X0,X2))) = X2,
inference(superposition,[status(thm)],[c_9389,c_37888]) ).
cnf(c_48209,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(light_normalisation,[status(thm)],[c_48202,c_37821]) ).
cnf(c_48415,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_48209,c_38338]) ).
cnf(c_48485,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_48415]) ).
cnf(c_48490,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_48485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP432-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n024.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 22:57:08 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
% 27.10/4.17 % SZS status Started for theBenchmark.p
% 27.10/4.17 % SZS status Unsatisfiable for theBenchmark.p
% 27.10/4.17
% 27.10/4.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 27.10/4.17
% 27.10/4.17 ------ iProver source info
% 27.10/4.17
% 27.10/4.17 git: date: 2023-05-31 18:12:56 +0000
% 27.10/4.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 27.10/4.17 git: non_committed_changes: false
% 27.10/4.17 git: last_make_outside_of_git: false
% 27.10/4.17
% 27.10/4.17 ------ Parsing...successful
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 27.10/4.17
% 27.10/4.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 27.10/4.17
% 27.10/4.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 27.10/4.17 ------ Proving...
% 27.10/4.17 ------ Problem Properties
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17 clauses 2
% 27.10/4.17 conjectures 1
% 27.10/4.17 EPR 0
% 27.10/4.17 Horn 2
% 27.10/4.17 unary 2
% 27.10/4.17 binary 0
% 27.10/4.17 lits 2
% 27.10/4.17 lits eq 2
% 27.10/4.17 fd_pure 0
% 27.10/4.17 fd_pseudo 0
% 27.10/4.17 fd_cond 0
% 27.10/4.17 fd_pseudo_cond 0
% 27.10/4.17 AC symbols 0
% 27.10/4.17
% 27.10/4.17 ------ Input Options Time Limit: Unbounded
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17 ------
% 27.10/4.17 Current options:
% 27.10/4.17 ------
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17 ------ Proving...
% 27.10/4.17
% 27.10/4.17
% 27.10/4.17 % SZS status Unsatisfiable for theBenchmark.p
% 27.10/4.17
% 27.10/4.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.32/4.17
% 27.32/4.18
%------------------------------------------------------------------------------