TSTP Solution File: SET234-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET234-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 15:07:16 EDT 2023
% Result : Unsatisfiable 3.80s 1.16s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 2 nHn; 8 RR)
% Number of literals : 14 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property9_1) ).
cnf(c_50,negated_conjecture,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property9_2) ).
cnf(c_73,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_74,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_88,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_4166,plain,
( ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) = not_subclass_element(cross_product(X0,X1),X2)
| subclass(cross_product(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_88]) ).
cnf(c_4201,plain,
ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) = not_subclass_element(cross_product(x,y),z),
inference(superposition,[status(thm)],[c_4166,c_50]) ).
cnf(c_4203,plain,
member(not_subclass_element(cross_product(x,y),z),z),
inference(demodulation,[status(thm)],[c_49,c_4201]) ).
cnf(c_4308,plain,
subclass(cross_product(x,y),z),
inference(superposition,[status(thm)],[c_4203,c_74]) ).
cnf(c_4309,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_4308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET234-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 15:45:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.80/1.16 % SZS status Started for theBenchmark.p
% 3.80/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.16
% 3.80/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.80/1.16
% 3.80/1.16 ------ iProver source info
% 3.80/1.16
% 3.80/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.80/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.80/1.16 git: non_committed_changes: false
% 3.80/1.16 git: last_make_outside_of_git: false
% 3.80/1.16
% 3.80/1.16 ------ Parsing...successful
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16 ------ 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
% 3.80/1.16
% 3.80/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.80/1.16
% 3.80/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.80/1.16 ------ Proving...
% 3.80/1.16 ------ Problem Properties
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16 clauses 102
% 3.80/1.16 conjectures 2
% 3.80/1.16 EPR 12
% 3.80/1.16 Horn 94
% 3.80/1.16 unary 41
% 3.80/1.16 binary 40
% 3.80/1.16 lits 190
% 3.80/1.16 lits eq 44
% 3.80/1.16 fd_pure 0
% 3.80/1.16 fd_pseudo 0
% 3.80/1.16 fd_cond 3
% 3.80/1.16 fd_pseudo_cond 7
% 3.80/1.16 AC symbols 0
% 3.80/1.16
% 3.80/1.16 ------ Input Options Time Limit: Unbounded
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16 ------
% 3.80/1.16 Current options:
% 3.80/1.16 ------
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16 ------ Proving...
% 3.80/1.16
% 3.80/1.16
% 3.80/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.16
% 3.80/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.16
% 3.80/1.16
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