TSTP Solution File: SET075-6 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 15:06:13 EDT 2023
% Result : Unsatisfiable 0.87s 1.21s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 49 ( 17 unt; 4 nHn; 37 RR)
% Number of literals : 86 ( 14 equ; 37 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 57 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
cnf(c_50,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
cnf(c_51,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_54,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_60,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(c_61,plain,
member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(c_63,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(c_64,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_65,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_66,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_67,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_71,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_74,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_112,plain,
( ~ function(X0)
| subclass(X0,cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',function1) ).
cnf(c_116,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_117,plain,
( intersection(X0,regular(X0)) = null_class
| X0 = null_class ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(c_3716,plain,
( ~ member(y,universal_class)
| member(y,null_class) ),
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_3807,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_116,c_74]) ).
cnf(c_3876,plain,
( ~ subclass(cross_product(u,v),X0)
| member(ordered_pair(x,y),X0) ),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_3943,plain,
( ~ function(cross_product(u,v))
| member(ordered_pair(x,y),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_112,c_3876]) ).
cnf(c_3964,plain,
member(x,u),
inference(superposition,[status(thm)],[c_49,c_64]) ).
cnf(c_3969,plain,
member(y,v),
inference(superposition,[status(thm)],[c_49,c_65]) ).
cnf(c_4025,plain,
( ~ subclass(u,X0)
| member(x,X0) ),
inference(superposition,[status(thm)],[c_3964,c_51]) ).
cnf(c_4029,plain,
( ~ subclass(v,X0)
| member(y,X0) ),
inference(superposition,[status(thm)],[c_3969,c_51]) ).
cnf(c_4055,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_54,c_4025]) ).
cnf(c_4068,plain,
member(y,universal_class),
inference(superposition,[status(thm)],[c_54,c_4029]) ).
cnf(c_4073,plain,
member(y,null_class),
inference(backward_subsumption_resolution,[status(thm)],[c_3716,c_4068]) ).
cnf(c_4405,plain,
member(ordered_pair(X0,X1),universal_class),
inference(superposition,[status(thm)],[c_63,c_61]) ).
cnf(c_4428,plain,
( ~ subclass(universal_class,X0)
| member(ordered_pair(X1,X2),X0) ),
inference(superposition,[status(thm)],[c_4405,c_51]) ).
cnf(c_5039,plain,
ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))) = ordered_pair(x,y),
inference(superposition,[status(thm)],[c_49,c_67]) ).
cnf(c_5179,plain,
( ~ member(ordered_pair(x,y),cross_product(X0,X1))
| member(second(ordered_pair(x,y)),X1) ),
inference(superposition,[status(thm)],[c_5039,c_65]) ).
cnf(c_5233,plain,
( ~ function(cross_product(u,v))
| member(second(ordered_pair(x,y)),universal_class) ),
inference(superposition,[status(thm)],[c_3943,c_5179]) ).
cnf(c_5383,plain,
( ~ member(x,X0)
| ~ member(y,X1)
| member(second(ordered_pair(x,y)),X1) ),
inference(superposition,[status(thm)],[c_66,c_5179]) ).
cnf(c_5400,plain,
( ~ member(x,universal_class)
| ~ member(y,universal_class)
| member(second(ordered_pair(x,y)),universal_class) ),
inference(instantiation,[status(thm)],[c_5383]) ).
cnf(c_5481,plain,
( ~ subclass(universal_class,cross_product(X0,X1))
| member(X2,X1) ),
inference(superposition,[status(thm)],[c_4428,c_65]) ).
cnf(c_6601,plain,
( ~ function(universal_class)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_112,c_5481]) ).
cnf(c_6644,plain,
member(second(ordered_pair(x,y)),universal_class),
inference(global_subsumption_just,[status(thm)],[c_5233,c_4055,c_4068,c_5400]) ).
cnf(c_9457,plain,
( ~ member(y,X0)
| member(second(ordered_pair(x,y)),X0) ),
inference(superposition,[status(thm)],[c_3964,c_5383]) ).
cnf(c_9473,plain,
( ~ member(y,intersection(X0,X1))
| member(second(ordered_pair(x,y)),X0) ),
inference(superposition,[status(thm)],[c_9457,c_71]) ).
cnf(c_9474,plain,
( ~ member(second(ordered_pair(x,y)),X0)
| ~ member(y,complement(X0)) ),
inference(superposition,[status(thm)],[c_9457,c_74]) ).
cnf(c_9765,plain,
( ~ member(y,null_class)
| X0 = null_class
| member(second(ordered_pair(x,y)),X0) ),
inference(superposition,[status(thm)],[c_117,c_9473]) ).
cnf(c_9784,plain,
( X0 = null_class
| member(second(ordered_pair(x,y)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9765,c_4073]) ).
cnf(c_9878,plain,
( ~ member(second(ordered_pair(x,y)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_9784,c_74]) ).
cnf(c_9915,plain,
( ~ member(second(ordered_pair(x,y)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_9878]) ).
cnf(c_10281,plain,
( ~ function(universal_class)
| complement(universal_class) = null_class ),
inference(superposition,[status(thm)],[c_6601,c_3807]) ).
cnf(c_10394,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_10281,c_4055,c_4068,c_5400,c_9915]) ).
cnf(c_10439,plain,
~ member(y,complement(universal_class)),
inference(superposition,[status(thm)],[c_6644,c_9474]) ).
cnf(c_10450,plain,
~ member(y,null_class),
inference(light_normalisation,[status(thm)],[c_10439,c_10394]) ).
cnf(c_10451,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10450,c_4073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 13:12:20 EDT 2023
% 0.14/0.35 % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.87/1.21 % SZS status Started for theBenchmark.p
% 0.87/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.87/1.21
% 0.87/1.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.87/1.21
% 0.87/1.21 ------ iProver source info
% 0.87/1.21
% 0.87/1.21 git: date: 2023-05-31 18:12:56 +0000
% 0.87/1.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.87/1.21 git: non_committed_changes: false
% 0.87/1.21 git: last_make_outside_of_git: false
% 0.87/1.21
% 0.87/1.21 ------ Parsing...successful
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 0.87/1.21
% 0.87/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.87/1.21
% 0.87/1.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.87/1.21 ------ Proving...
% 0.87/1.21 ------ Problem Properties
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21 clauses 85
% 0.87/1.21 conjectures 2
% 0.87/1.21 EPR 12
% 0.87/1.21 Horn 77
% 0.87/1.21 unary 33
% 0.87/1.21 binary 32
% 0.87/1.21 lits 163
% 0.87/1.21 lits eq 37
% 0.87/1.21 fd_pure 0
% 0.87/1.21 fd_pseudo 0
% 0.87/1.21 fd_cond 3
% 0.87/1.21 fd_pseudo_cond 3
% 0.87/1.21 AC symbols 0
% 0.87/1.21
% 0.87/1.21 ------ Schedule dynamic 5 is on
% 0.87/1.21
% 0.87/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21 ------
% 0.87/1.21 Current options:
% 0.87/1.21 ------
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21 ------ Proving...
% 0.87/1.21
% 0.87/1.21
% 0.87/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 0.87/1.21
% 0.87/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.87/1.21
% 0.87/1.21
%------------------------------------------------------------------------------