TSTP Solution File: GRP031-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 02:19:50 EDT 2024
% Result : Unsatisfiable 7.02s 1.68s
% Output : CNFRefutation 7.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 32 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
cnf(c_51,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
cnf(c_52,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
cnf(c_53,plain,
product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_54,plain,
product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(c_55,negated_conjecture,
~ product(X0,a,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_a_left_inverse) ).
cnf(c_115,negated_conjecture,
~ product(X0,a,identity),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_205,plain,
( ~ product(X0,X1,X2)
| ~ product(identity,X1,X3)
| product(X0,X3,X2) ),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_275,plain,
( ~ product(identity,inverse(X0),X1)
| product(X0,X1,identity) ),
inference(superposition,[status(thm)],[c_53,c_205]) ).
cnf(c_276,plain,
( ~ product(identity,identity,X0)
| product(X1,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_205]) ).
cnf(c_507,plain,
( ~ product(inverse(X0),X1,X2)
| ~ product(X0,X2,X3)
| product(identity,X1,X3) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_12834,plain,
( ~ product(X0,multiply(inverse(X0),X1),X2)
| product(identity,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_507]) ).
cnf(c_12836,plain,
( ~ product(X0,inverse(X0),X1)
| product(identity,identity,X1) ),
inference(superposition,[status(thm)],[c_54,c_507]) ).
cnf(c_15162,plain,
product(identity,identity,multiply(X0,inverse(X0))),
inference(superposition,[status(thm)],[c_49,c_12836]) ).
cnf(c_15498,plain,
product(X0,multiply(X1,inverse(X1)),X0),
inference(superposition,[status(thm)],[c_15162,c_276]) ).
cnf(c_16035,plain,
product(identity,inverse(inverse(X0)),X0),
inference(superposition,[status(thm)],[c_15498,c_12834]) ).
cnf(c_16792,plain,
product(inverse(X0),X0,identity),
inference(superposition,[status(thm)],[c_16035,c_275]) ).
cnf(c_17018,plain,
$false,
inference(superposition,[status(thm)],[c_16792,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.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 00:18:28 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
% 7.02/1.68 % SZS status Started for theBenchmark.p
% 7.02/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.02/1.68
% 7.02/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.02/1.68
% 7.02/1.68 ------ iProver source info
% 7.02/1.68
% 7.02/1.68 git: date: 2024-05-02 19:28:25 +0000
% 7.02/1.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.02/1.68 git: non_committed_changes: false
% 7.02/1.68
% 7.02/1.68 ------ Parsing...successful
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 7.02/1.68
% 7.02/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.02/1.68 ------ Proving...
% 7.02/1.68 ------ Problem Properties
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68 clauses 6
% 7.02/1.68 conjectures 1
% 7.02/1.68 EPR 4
% 7.02/1.68 Horn 6
% 7.02/1.68 unary 4
% 7.02/1.68 binary 0
% 7.02/1.68 lits 12
% 7.02/1.68 lits eq 0
% 7.02/1.68 fd_pure 0
% 7.02/1.68 fd_pseudo 0
% 7.02/1.68 fd_cond 0
% 7.02/1.68 fd_pseudo_cond 0
% 7.02/1.68 AC symbols 0
% 7.02/1.68
% 7.02/1.68 ------ Schedule dynamic 5 is on
% 7.02/1.68
% 7.02/1.68 ------ no equalities: superposition off
% 7.02/1.68
% 7.02/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68 ------
% 7.02/1.68 Current options:
% 7.02/1.68 ------
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68 ------ Proving...
% 7.02/1.68
% 7.02/1.68
% 7.02/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.02/1.68
% 7.02/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.02/1.68
% 7.02/1.68
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