TSTP Solution File: GRP058-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 00:57:09 EDT 2023
% Result : Unsatisfiable 51.31s 7.68s
% Output : CNFRefutation 51.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of clauses : 63 ( 61 unt; 0 nHn; 4 RR)
% Number of literals : 66 ( 65 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 209 ( 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_139,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),X0)))) = X4,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_141,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_243,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_141,c_49]) ).
cnf(c_357,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_243,c_49]) ).
cnf(c_362,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_243,c_141]) ).
cnf(c_375,plain,
multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),X2))),multiply(X4,inverse(X4))) = X3,
inference(superposition,[status(thm)],[c_243,c_141]) ).
cnf(c_1013,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_1015,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_362]) ).
cnf(c_1020,plain,
multiply(X0,inverse(multiply(inverse(multiply(multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,X1)))),multiply(X2,X5))),multiply(multiply(multiply(X6,inverse(X6)),inverse(X4)),X0)))) = X5,
inference(superposition,[status(thm)],[c_362,c_49]) ).
cnf(c_1287,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_357]) ).
cnf(c_1293,plain,
multiply(inverse(multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X0,X1)))))),inverse(multiply(inverse(X4),X2))) = X4,
inference(superposition,[status(thm)],[c_357,c_49]) ).
cnf(c_1411,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_1013,c_49]) ).
cnf(c_1420,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),
inference(superposition,[status(thm)],[c_1013,c_357]) ).
cnf(c_1452,plain,
multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(X1)),
inference(superposition,[status(thm)],[c_1013,c_1420]) ).
cnf(c_1736,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),inverse(X0))))) = X1,
inference(superposition,[status(thm)],[c_1452,c_49]) ).
cnf(c_1737,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),multiply(X4,inverse(X4)))))) = X3,
inference(superposition,[status(thm)],[c_1452,c_49]) ).
cnf(c_2231,plain,
multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X0))),X3)) = X3,
inference(superposition,[status(thm)],[c_139,c_1736]) ).
cnf(c_2980,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_1015,c_49]) ).
cnf(c_2998,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(X3,inverse(multiply(X1,multiply(X2,X3)))),
inference(superposition,[status(thm)],[c_1015,c_1015]) ).
cnf(c_4222,plain,
multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(X3),
inference(superposition,[status(thm)],[c_1736,c_2980]) ).
cnf(c_5386,plain,
multiply(inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,X0)))),X1)),inverse(multiply(inverse(X3),X2))) = X3,
inference(superposition,[status(thm)],[c_2980,c_1293]) ).
cnf(c_6303,plain,
multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_1287,c_375]) ).
cnf(c_6368,plain,
multiply(multiply(X0,inverse(X0)),inverse(inverse(multiply(X1,multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[status(thm)],[c_375,c_1287]) ).
cnf(c_8093,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_6303,c_49]) ).
cnf(c_8103,plain,
multiply(inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))),inverse(multiply(inverse(X2),X0))) = X2,
inference(superposition,[status(thm)],[c_6368,c_49]) ).
cnf(c_8105,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_2998,c_49]) ).
cnf(c_10132,plain,
inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = multiply(inverse(multiply(X2,inverse(X2))),X0),
inference(superposition,[status(thm)],[c_6368,c_2231]) ).
cnf(c_10172,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_2231,c_8105]) ).
cnf(c_11157,plain,
inverse(multiply(X0,inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),X0))))) = X1,
inference(superposition,[status(thm)],[c_4222,c_8105]) ).
cnf(c_13454,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),X3))),multiply(multiply(multiply(X4,inverse(X4)),X1),X0)))) = X3,
inference(superposition,[status(thm)],[c_11157,c_49]) ).
cnf(c_29470,plain,
multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),X2)) = X2,
inference(superposition,[status(thm)],[c_10132,c_6368]) ).
cnf(c_29472,plain,
multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(multiply(inverse(X2),X1))) = X2,
inference(superposition,[status(thm)],[c_10132,c_8103]) ).
cnf(c_34780,plain,
inverse(multiply(inverse(X0),multiply(X1,inverse(X1)))) = multiply(multiply(X2,inverse(X2)),X0),
inference(superposition,[status(thm)],[c_8093,c_29470]) ).
cnf(c_40752,plain,
multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))))) = inverse(X0),
inference(superposition,[status(thm)],[c_29472,c_8093]) ).
cnf(c_52077,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),X2))) = inverse(X2),
inference(superposition,[status(thm)],[c_34780,c_6368]) ).
cnf(c_52144,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_34780,c_34780]) ).
cnf(c_52244,plain,
multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(X1)),
inference(light_normalisation,[status(thm)],[c_52144,c_40752]) ).
cnf(c_52247,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_2231,c_52077]) ).
cnf(c_52265,plain,
inverse(multiply(X0,inverse(multiply(X1,inverse(inverse(X0)))))) = X1,
inference(demodulation,[status(thm)],[c_11157,c_52244]) ).
cnf(c_62399,plain,
multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_52247,c_6303]) ).
cnf(c_62409,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_52247,c_52247]) ).
cnf(c_62790,plain,
multiply(X0,inverse(multiply(inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,X1)))),multiply(X2,X4))),multiply(inverse(X3),X0)))) = X4,
inference(demodulation,[status(thm)],[c_1020,c_52244,c_62399,c_62409]) ).
cnf(c_62809,plain,
multiply(X0,inverse(multiply(inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,X1)))),X4)),multiply(inverse(X3),X0)))) = multiply(inverse(X2),X4),
inference(superposition,[status(thm)],[c_52247,c_62790]) ).
cnf(c_62835,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_62790,c_62809]) ).
cnf(c_63771,plain,
multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(inverse(X2)))),multiply(X1,X0)))) = X2,
inference(demodulation,[status(thm)],[c_13454,c_52244,c_62409]) ).
cnf(c_63795,plain,
multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(inverse(X0)))))),inverse(multiply(inverse(X2),X1))) = X2,
inference(superposition,[status(thm)],[c_63771,c_5386]) ).
cnf(c_63802,plain,
multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
inference(light_normalisation,[status(thm)],[c_63795,c_52265]) ).
cnf(c_66838,plain,
inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(inverse(inverse(multiply(X1,X0)))))))))) = X1,
inference(demodulation,[status(thm)],[c_1737,c_52244,c_62399]) ).
cnf(c_70611,plain,
inverse(inverse(inverse(multiply(X0,inverse(inverse(inverse(inverse(inverse(multiply(X1,X0)))))))))) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_62409,c_66838]) ).
cnf(c_70620,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_70611,c_66838]) ).
cnf(c_70783,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_62835,c_63802]) ).
cnf(c_70849,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_70620,c_70783]) ).
cnf(c_70889,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_10172,c_70849]) ).
cnf(c_70948,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_70620,c_70889]) ).
cnf(c_70965,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_70948]) ).
cnf(c_72850,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_1411,c_62399,c_70620,c_70889]) ).
cnf(c_72870,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_72850,c_70849]) ).
cnf(c_72954,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_70948,c_70849]) ).
cnf(c_72958,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_70965,c_72954]) ).
cnf(c_76473,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_72870,c_52247]) ).
cnf(c_76511,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_72958,c_76473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 00:37:11 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 51.31/7.68 % SZS status Started for theBenchmark.p
% 51.31/7.68 % SZS status Unsatisfiable for theBenchmark.p
% 51.31/7.68
% 51.31/7.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 51.31/7.68
% 51.31/7.68 ------ iProver source info
% 51.31/7.68
% 51.31/7.68 git: date: 2023-05-31 18:12:56 +0000
% 51.31/7.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 51.31/7.68 git: non_committed_changes: false
% 51.31/7.68 git: last_make_outside_of_git: false
% 51.31/7.68
% 51.31/7.68 ------ Parsing...successful
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 51.31/7.68
% 51.31/7.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 51.31/7.68
% 51.31/7.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 51.31/7.68 ------ Proving...
% 51.31/7.68 ------ Problem Properties
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68 clauses 2
% 51.31/7.68 conjectures 1
% 51.31/7.68 EPR 0
% 51.31/7.68 Horn 2
% 51.31/7.68 unary 1
% 51.31/7.68 binary 0
% 51.31/7.68 lits 4
% 51.31/7.68 lits eq 4
% 51.31/7.68 fd_pure 0
% 51.31/7.68 fd_pseudo 0
% 51.31/7.68 fd_cond 0
% 51.31/7.68 fd_pseudo_cond 0
% 51.31/7.68 AC symbols 0
% 51.31/7.68
% 51.31/7.68 ------ Schedule dynamic 5 is on
% 51.31/7.68
% 51.31/7.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68 ------
% 51.31/7.68 Current options:
% 51.31/7.68 ------
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68 ------ Proving...
% 51.31/7.68
% 51.31/7.68
% 51.31/7.68 % SZS status Unsatisfiable for theBenchmark.p
% 51.31/7.68
% 51.31/7.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 51.31/7.68
% 51.31/7.69
%------------------------------------------------------------------------------