TSTP Solution File: GRP405-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP405-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 00:59:45 EDT 2023
% Result : Unsatisfiable 53.71s 7.67s
% Output : CNFRefutation 53.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of clauses : 48 ( 48 unt; 0 nHn; 3 RR)
% Number of literals : 48 ( 47 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 : 135 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),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(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_118,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X1),X1))))))) = X2,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_129,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_203,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(X1,multiply(inverse(X1),X1))))) = X2,
inference(superposition,[status(thm)],[c_129,c_129]) ).
cnf(c_240,plain,
multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))) = inverse(multiply(X1,multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_203,c_49]) ).
cnf(c_251,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_203,c_118]) ).
cnf(c_295,plain,
multiply(inverse(multiply(X0,inverse(multiply(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_203,c_251]) ).
cnf(c_1183,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(X1,multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_240,c_118]) ).
cnf(c_2354,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X1),X1))))),multiply(X0,inverse(multiply(X1,multiply(inverse(X1),X1))))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_1183,c_295]) ).
cnf(c_2818,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_2354,c_2354]) ).
cnf(c_4400,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[status(thm)],[c_2818,c_118]) ).
cnf(c_4431,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X1),X1))))) = X1,
inference(superposition,[status(thm)],[c_2818,c_203]) ).
cnf(c_4439,plain,
multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X0)),
inference(superposition,[status(thm)],[c_2818,c_251]) ).
cnf(c_4475,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X1))))) = X1,
inference(superposition,[status(thm)],[c_2818,c_1183]) ).
cnf(c_4665,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_2818,c_4431]) ).
cnf(c_4784,plain,
multiply(X0,multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X0,multiply(inverse(X2),X2))))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_4665,c_2818]) ).
cnf(c_4880,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_2818,c_4475]) ).
cnf(c_4968,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_2818,c_4880]) ).
cnf(c_5350,plain,
inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_4968,c_4665]) ).
cnf(c_5672,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_5350,c_5350]) ).
cnf(c_5676,plain,
multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_5350,c_2818]) ).
cnf(c_11255,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),X2)))) = inverse(multiply(X1,multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_2818,c_4400]) ).
cnf(c_28160,plain,
inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_11255,c_4784]) ).
cnf(c_28163,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_11255,c_5676]) ).
cnf(c_36530,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_28163,c_4968]) ).
cnf(c_36531,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_28163,c_4880]) ).
cnf(c_36558,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_28163,c_5672]) ).
cnf(c_37774,plain,
inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_36558,c_28160]) ).
cnf(c_38018,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_36558,c_4439]) ).
cnf(c_55278,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_38018,c_36531]) ).
cnf(c_91423,plain,
multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),X2) = X2,
inference(superposition,[status(thm)],[c_55278,c_4400]) ).
cnf(c_91753,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_37774,c_91423]) ).
cnf(c_91761,plain,
multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_36530,c_91423]) ).
cnf(c_92271,plain,
multiply(inverse(multiply(inverse(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_91423,c_251]) ).
cnf(c_92447,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_92271,c_91423]) ).
cnf(c_92481,plain,
inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_4880,c_91761]) ).
cnf(c_101435,plain,
multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_92481,c_92447]) ).
cnf(c_101600,plain,
inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_92447,c_92481]) ).
cnf(c_101602,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_101435,c_91761]) ).
cnf(c_101705,plain,
multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_92447,c_101602]) ).
cnf(c_101713,plain,
multiply(inverse(multiply(inverse(X0),X1)),X2) = multiply(inverse(X1),multiply(X0,X2)),
inference(superposition,[status(thm)],[c_101602,c_92447]) ).
cnf(c_101722,plain,
multiply(multiply(inverse(X0),X1),X2) = multiply(inverse(X0),multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_101713,c_101600]) ).
cnf(c_101726,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_91753,c_101722]) ).
cnf(c_106181,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_101726,c_101705]) ).
cnf(c_106246,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_106181]) ).
cnf(c_106247,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_106246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP405-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 01:06:47 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 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
% 53.71/7.67 % SZS status Started for theBenchmark.p
% 53.71/7.67 % SZS status Unsatisfiable for theBenchmark.p
% 53.71/7.67
% 53.71/7.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 53.71/7.67
% 53.71/7.67 ------ iProver source info
% 53.71/7.67
% 53.71/7.67 git: date: 2023-05-31 18:12:56 +0000
% 53.71/7.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 53.71/7.67 git: non_committed_changes: false
% 53.71/7.67 git: last_make_outside_of_git: false
% 53.71/7.67
% 53.71/7.67 ------ Parsing...successful
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 53.71/7.67
% 53.71/7.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 53.71/7.67
% 53.71/7.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 53.71/7.67 ------ Proving...
% 53.71/7.67 ------ Problem Properties
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67 clauses 2
% 53.71/7.67 conjectures 1
% 53.71/7.67 EPR 0
% 53.71/7.67 Horn 2
% 53.71/7.67 unary 2
% 53.71/7.67 binary 0
% 53.71/7.67 lits 2
% 53.71/7.67 lits eq 2
% 53.71/7.67 fd_pure 0
% 53.71/7.67 fd_pseudo 0
% 53.71/7.67 fd_cond 0
% 53.71/7.67 fd_pseudo_cond 0
% 53.71/7.67 AC symbols 0
% 53.71/7.67
% 53.71/7.67 ------ Input Options Time Limit: Unbounded
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67 ------
% 53.71/7.67 Current options:
% 53.71/7.67 ------
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67 ------ Proving...
% 53.71/7.67
% 53.71/7.67
% 53.71/7.67 % SZS status Unsatisfiable for theBenchmark.p
% 53.71/7.67
% 53.71/7.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.71/7.67
% 53.71/7.68
%------------------------------------------------------------------------------