TSTP Solution File: GRP058-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 02:20:37 EDT 2024
% Result : Unsatisfiable 54.11s 8.27s
% Output : CNFRefutation 54.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% 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 : 10 ( 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 : 194 ( 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_104,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_130,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_104,c_49]) ).
cnf(c_241,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_130,c_49]) ).
cnf(c_246,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_130,c_104]) ).
cnf(c_486,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_246]) ).
cnf(c_583,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),
inference(superposition,[status(thm)],[c_104,c_241]) ).
cnf(c_713,plain,
multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(X1)),
inference(superposition,[status(thm)],[c_104,c_583]) ).
cnf(c_819,plain,
multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),inverse(X2)) = multiply(multiply(X3,inverse(X3)),inverse(X2)),
inference(superposition,[status(thm)],[c_713,c_713]) ).
cnf(c_1223,plain,
multiply(X0,inverse(multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(multiply(X4,inverse(X4)),inverse(X1))))),multiply(X2,X0)))) = multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,inverse(X6)))),
inference(superposition,[status(thm)],[c_819,c_246]) ).
cnf(c_1242,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))) = multiply(X2,inverse(X2)),
inference(demodulation,[status(thm)],[c_1223,c_246]) ).
cnf(c_1467,plain,
multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))),X0)))) = X1,
inference(superposition,[status(thm)],[c_1242,c_49]) ).
cnf(c_1805,plain,
multiply(X0,inverse(multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(multiply(X4,inverse(X4)),inverse(X1))))),multiply(X2,X0)))) = multiply(multiply(X5,inverse(X5)),inverse(multiply(X6,inverse(X6)))),
inference(superposition,[status(thm)],[c_819,c_246]) ).
cnf(c_1827,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))) = multiply(X2,inverse(X2)),
inference(demodulation,[status(thm)],[c_1805,c_246]) ).
cnf(c_1878,plain,
multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X0)))) = X1,
inference(superposition,[status(thm)],[c_1827,c_1467]) ).
cnf(c_3342,plain,
multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(X3),
inference(superposition,[status(thm)],[c_1878,c_49]) ).
cnf(c_3358,plain,
inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3))))))) = X1,
inference(superposition,[status(thm)],[c_3342,c_49]) ).
cnf(c_3382,plain,
multiply(multiply(X0,inverse(X0)),multiply(X1,inverse(X1))) = inverse(inverse(multiply(X2,inverse(X2)))),
inference(superposition,[status(thm)],[c_3342,c_3358]) ).
cnf(c_3424,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(X1),inverse(inverse(multiply(X2,inverse(X2))))))) = X1,
inference(superposition,[status(thm)],[c_3382,c_1467]) ).
cnf(c_3598,plain,
inverse(multiply(X0,inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),X0))))) = X1,
inference(superposition,[status(thm)],[c_486,c_3358]) ).
cnf(c_4969,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_3598,c_49]) ).
cnf(c_4996,plain,
multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),X2),multiply(X3,inverse(X3))),multiply(X4,X0)))) = inverse(multiply(X2,multiply(multiply(X5,inverse(X5)),X4))),
inference(superposition,[status(thm)],[c_3598,c_104]) ).
cnf(c_32414,plain,
multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(X3),
inference(superposition,[status(thm)],[c_1878,c_49]) ).
cnf(c_32415,plain,
multiply(X0,inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,X0)))) = inverse(X2),
inference(superposition,[status(thm)],[c_3424,c_49]) ).
cnf(c_32434,plain,
inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(inverse(multiply(X2,inverse(X2)))))))) = X1,
inference(superposition,[status(thm)],[c_32415,c_49]) ).
cnf(c_32437,plain,
inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_32415,c_1878]) ).
cnf(c_32477,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))) = multiply(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_32437,c_3424]) ).
cnf(c_32514,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_32477,c_3424]) ).
cnf(c_32600,plain,
inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3))))))) = X1,
inference(superposition,[status(thm)],[c_32414,c_49]) ).
cnf(c_32642,plain,
multiply(multiply(X0,inverse(X0)),multiply(X1,inverse(X1))) = inverse(inverse(multiply(X2,inverse(X2)))),
inference(superposition,[status(thm)],[c_32414,c_32600]) ).
cnf(c_32851,plain,
multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(X1,inverse(X1)),X2)) = X2,
inference(superposition,[status(thm)],[c_4969,c_1878]) ).
cnf(c_33094,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_32514,c_49]) ).
cnf(c_33463,plain,
multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),multiply(X3,inverse(X3)))))) = X1,
inference(superposition,[status(thm)],[c_32642,c_3424]) ).
cnf(c_33839,plain,
multiply(X0,inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))))) = X0,
inference(superposition,[status(thm)],[c_32434,c_33094]) ).
cnf(c_34222,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(multiply(X2,inverse(X2)),X0))) = X1,
inference(superposition,[status(thm)],[c_104,c_4996]) ).
cnf(c_34946,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X0))),X1)),multiply(X2,inverse(X2)))) = X1,
inference(superposition,[status(thm)],[c_32477,c_34222]) ).
cnf(c_35053,plain,
multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(superposition,[status(thm)],[c_34222,c_33463]) ).
cnf(c_36623,plain,
inverse(multiply(inverse(X0),multiply(X1,inverse(X1)))) = multiply(multiply(X2,inverse(X2)),X0),
inference(superposition,[status(thm)],[c_32851,c_34946]) ).
cnf(c_37110,plain,
multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))) = X0,
inference(superposition,[status(thm)],[c_36623,c_33839]) ).
cnf(c_37523,plain,
multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_3424,c_37110]) ).
cnf(c_37609,plain,
multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))),inverse(X2)) = X1,
inference(superposition,[status(thm)],[c_37110,c_33094]) ).
cnf(c_37613,plain,
inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[status(thm)],[c_37110,c_32600]) ).
cnf(c_37634,plain,
multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_37110,c_36623]) ).
cnf(c_37657,plain,
inverse(inverse(inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[c_37613,c_37523,c_37634]) ).
cnf(c_37658,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_37609,c_37634,c_37657]) ).
cnf(c_51112,plain,
multiply(X0,inverse(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X0,X1))),X3))))) = X3,
inference(superposition,[status(thm)],[c_49,c_37658]) ).
cnf(c_51117,plain,
multiply(X0,inverse(inverse(multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),X2))))) = X2,
inference(superposition,[status(thm)],[c_1878,c_37658]) ).
cnf(c_51149,plain,
multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_37658,c_37658]) ).
cnf(c_51162,plain,
multiply(multiply(X0,inverse(X0)),inverse(inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_37658,c_35053]) ).
cnf(c_51166,plain,
multiply(multiply(X0,inverse(X0)),inverse(inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_37658,c_35053]) ).
cnf(c_51169,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_51166,c_51149]) ).
cnf(c_51170,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_51162,c_51169]) ).
cnf(c_51181,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_51117,c_51149,c_51169]) ).
cnf(c_51193,plain,
multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(demodulation,[status(thm)],[c_51112,c_51149,c_51169]) ).
cnf(c_51559,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_51170,c_37523]) ).
cnf(c_52120,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_51170,c_51169]) ).
cnf(c_52135,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_52120]) ).
cnf(c_52162,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_51170,c_51181]) ).
cnf(c_52354,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_52120,c_51559]) ).
cnf(c_52355,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_52135,c_52354]) ).
cnf(c_55401,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_52162,c_51193]) ).
cnf(c_55468,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52355,c_55401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 00:15:27 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 54.11/8.27 % SZS status Started for theBenchmark.p
% 54.11/8.27 % SZS status Unsatisfiable for theBenchmark.p
% 54.11/8.27
% 54.11/8.27 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 54.11/8.27
% 54.11/8.27 ------ iProver source info
% 54.11/8.27
% 54.11/8.27 git: date: 2024-05-02 19:28:25 +0000
% 54.11/8.27 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 54.11/8.27 git: non_committed_changes: false
% 54.11/8.27
% 54.11/8.27 ------ Parsing...successful
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 54.11/8.27
% 54.11/8.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 54.11/8.27
% 54.11/8.27 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 54.11/8.27 ------ Proving...
% 54.11/8.27 ------ Problem Properties
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27 clauses 2
% 54.11/8.27 conjectures 1
% 54.11/8.27 EPR 0
% 54.11/8.27 Horn 2
% 54.11/8.27 unary 1
% 54.11/8.27 binary 0
% 54.11/8.27 lits 4
% 54.11/8.27 lits eq 4
% 54.11/8.27 fd_pure 0
% 54.11/8.27 fd_pseudo 0
% 54.11/8.27 fd_cond 0
% 54.11/8.27 fd_pseudo_cond 0
% 54.11/8.27 AC symbols 0
% 54.11/8.27
% 54.11/8.27 ------ Input Options Time Limit: Unbounded
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27 ------
% 54.11/8.27 Current options:
% 54.11/8.27 ------
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27 ------ Proving...
% 54.11/8.27
% 54.11/8.27
% 54.11/8.27 % SZS status Unsatisfiable for theBenchmark.p
% 54.11/8.27
% 54.11/8.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.11/8.27
% 54.11/8.27
%------------------------------------------------------------------------------