TSTP Solution File: SET204-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 03:00:17 EDT 2024
% Result : Unsatisfiable 3.64s 1.12s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property2_1) ).
cnf(c_50,negated_conjecture,
~ member(ordered_pair(v,u),cross_product(y,x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property2_2) ).
cnf(c_85,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_86,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(c_87,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_4126,plain,
member(v,y),
inference(superposition,[status(thm)],[c_49,c_86]) ).
cnf(c_4131,plain,
member(u,x),
inference(superposition,[status(thm)],[c_49,c_85]) ).
cnf(c_4138,plain,
( ~ member(u,x)
| ~ member(v,y) ),
inference(superposition,[status(thm)],[c_87,c_50]) ).
cnf(c_4141,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4138,c_4131,c_4126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:11:01 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 3.64/1.12 % SZS status Started for theBenchmark.p
% 3.64/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.12
% 3.64/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.64/1.12
% 3.64/1.12 ------ iProver source info
% 3.64/1.12
% 3.64/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.64/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.64/1.12 git: non_committed_changes: false
% 3.64/1.12
% 3.64/1.12 ------ Parsing...successful
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 3.64/1.12
% 3.64/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.64/1.12
% 3.64/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.64/1.12 ------ Proving...
% 3.64/1.12 ------ Problem Properties
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12 clauses 102
% 3.64/1.12 conjectures 2
% 3.64/1.12 EPR 12
% 3.64/1.12 Horn 94
% 3.64/1.12 unary 41
% 3.64/1.12 binary 40
% 3.64/1.12 lits 190
% 3.64/1.12 lits eq 44
% 3.64/1.12 fd_pure 0
% 3.64/1.12 fd_pseudo 0
% 3.64/1.12 fd_cond 3
% 3.64/1.12 fd_pseudo_cond 7
% 3.64/1.12 AC symbols 0
% 3.64/1.12
% 3.64/1.12 ------ Input Options Time Limit: Unbounded
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12 ------
% 3.64/1.12 Current options:
% 3.64/1.12 ------
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12 ------ Proving...
% 3.64/1.12
% 3.64/1.12
% 3.64/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.12
% 3.64/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.64/1.12
% 3.64/1.12
%------------------------------------------------------------------------------