TSTP Solution File: GRP410-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP410-1 : 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 00:59:46 EDT 2023
% Result : Unsatisfiable 247.09s 32.27s
% Output : CNFRefutation 247.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 9 RR)
% Number of literals : 39 ( 38 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 116 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_92,plain,
multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_94,plain,
multiply(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(X3,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_220,plain,
multiply(inverse(multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),multiply(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_92,c_49]) ).
cnf(c_225,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_92,c_92]) ).
cnf(c_365,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(superposition,[status(thm)],[c_220,c_225]) ).
cnf(c_458,plain,
multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_94,c_365]) ).
cnf(c_529,plain,
multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))),
inference(superposition,[status(thm)],[c_49,c_458]) ).
cnf(c_534,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(X3))),X1) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[status(thm)],[c_49,c_458]) ).
cnf(c_604,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_49,c_529]) ).
cnf(c_796,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_604,c_604]) ).
cnf(c_1219,plain,
multiply(inverse(multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X3)))),multiply(X0,inverse(X3))) = X1,
inference(superposition,[status(thm)],[c_796,c_220]) ).
cnf(c_1223,plain,
multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X3),X3))) = X1,
inference(superposition,[status(thm)],[c_796,c_49]) ).
cnf(c_1224,plain,
multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_796,c_50]) ).
cnf(c_1410,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_1223,c_534]) ).
cnf(c_1904,plain,
multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_1410,c_1223]) ).
cnf(c_2588,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1)))),multiply(X0,inverse(X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_1904,c_92]) ).
cnf(c_2594,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_1904,c_1219]) ).
cnf(c_2603,plain,
inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_1904,c_1904]) ).
cnf(c_2892,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_2603,c_1904]) ).
cnf(c_2919,plain,
multiply(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)),a2) != a2,
inference(superposition,[status(thm)],[c_2603,c_1224]) ).
cnf(c_6383,plain,
multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))),multiply(X0,inverse(X2))),a2) != a2,
inference(superposition,[status(thm)],[c_2594,c_2919]) ).
cnf(c_19263,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))),multiply(X0,inverse(X2))) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[status(thm)],[c_796,c_2588]) ).
cnf(c_29484,plain,
multiply(inverse(multiply(inverse(X0),X0)),a2) != a2,
inference(superposition,[status(thm)],[c_19263,c_6383]) ).
cnf(c_33386,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),a2) != a2,
inference(superposition,[status(thm)],[c_2892,c_29484]) ).
cnf(c_33443,plain,
multiply(multiply(multiply(inverse(a2),a2),inverse(multiply(inverse(a2),a2))),a2) != a2,
inference(instantiation,[status(thm)],[c_33386]) ).
cnf(c_379857,plain,
multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_380185,plain,
multiply(inverse(multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),multiply(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_379857,c_49]) ).
cnf(c_380251,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(multiply(X3,inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),multiply(inverse(X2),X2))))),X1) = X3,
inference(superposition,[status(thm)],[c_49,c_380185]) ).
cnf(c_380390,plain,
inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(multiply(X3,inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),multiply(inverse(X2),X2))))) = multiply(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X1))),inverse(multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_380251,c_49]) ).
cnf(c_385393,plain,
multiply(multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2))),X2) = X1,
inference(superposition,[status(thm)],[c_380390,c_380251]) ).
cnf(c_386195,plain,
multiply(multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(X3))),inverse(multiply(inverse(X3),X3))),X3) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_49,c_385393]) ).
cnf(c_388698,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))),multiply(inverse(X1),X1)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_49,c_386195]) ).
cnf(c_401506,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2)))),X1) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_388698,c_380251]) ).
cnf(c_401514,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(light_normalisation,[status(thm)],[c_401506,c_49]) ).
cnf(c_506366,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X1) = X1,
inference(superposition,[status(thm)],[c_401514,c_385393]) ).
cnf(c_506407,plain,
multiply(multiply(multiply(inverse(a2),a2),inverse(multiply(inverse(a2),a2))),a2) = a2,
inference(instantiation,[status(thm)],[c_506366]) ).
cnf(c_506408,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_506407,c_33443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.13 % 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 19:48:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 Running UEQ theorem proving
% 0.20/0.49 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
% 247.09/32.27 % SZS status Started for theBenchmark.p
% 247.09/32.27 % SZS status Unsatisfiable for theBenchmark.p
% 247.09/32.27
% 247.09/32.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 247.09/32.27
% 247.09/32.27 ------ iProver source info
% 247.09/32.27
% 247.09/32.27 git: date: 2023-05-31 18:12:56 +0000
% 247.09/32.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 247.09/32.27 git: non_committed_changes: false
% 247.09/32.27 git: last_make_outside_of_git: false
% 247.09/32.27
% 247.09/32.27 ------ Parsing...successful
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 247.09/32.27
% 247.09/32.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 247.09/32.27
% 247.09/32.27 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 247.09/32.27 ------ Proving...
% 247.09/32.27 ------ Problem Properties
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27 clauses 2
% 247.09/32.27 conjectures 1
% 247.09/32.27 EPR 0
% 247.09/32.27 Horn 2
% 247.09/32.27 unary 2
% 247.09/32.27 binary 0
% 247.09/32.27 lits 2
% 247.09/32.27 lits eq 2
% 247.09/32.27 fd_pure 0
% 247.09/32.27 fd_pseudo 0
% 247.09/32.27 fd_cond 0
% 247.09/32.27 fd_pseudo_cond 0
% 247.09/32.27 AC symbols 0
% 247.09/32.27
% 247.09/32.27 ------ Input Options Time Limit: Unbounded
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27 ------
% 247.09/32.27 Current options:
% 247.09/32.27 ------
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27 ------ Proving...
% 247.09/32.27
% 247.09/32.27
% 247.09/32.27 % SZS status Unsatisfiable for theBenchmark.p
% 247.09/32.27
% 247.09/32.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 247.09/32.27
% 247.09/32.27
%------------------------------------------------------------------------------