TSTP Solution File: SET559-6 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET559-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 15:08:18 EDT 2023
% Result : Unsatisfiable 266.09s 35.94s
% Output : CNFRefutation 266.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of clauses : 40 ( 17 unt; 7 nHn; 34 RR)
% Number of literals : 69 ( 11 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
operation(xf2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn2_1) ).
cnf(c_50,negated_conjecture,
compatible(xh,xf1,xf2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn2_2) ).
cnf(c_51,negated_conjecture,
~ subclass(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn2_3) ).
cnf(c_73,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_74,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_75,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_83,plain,
member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(c_85,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(c_86,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_87,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(c_88,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_89,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_102,plain,
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).
cnf(c_103,plain,
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain2) ).
cnf(c_151,plain,
( ~ operation(X0)
| cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) = domain_of(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',operation2) ).
cnf(c_156,plain,
( ~ compatible(X0,X1,X2)
| subclass(range_of(X0),domain_of(domain_of(X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',compatible3) ).
cnf(c_3949,plain,
member(ordered_pair(X0,X1),universal_class),
inference(superposition,[status(thm)],[c_85,c_83]) ).
cnf(c_177641,plain,
cross_product(domain_of(domain_of(xf2)),domain_of(domain_of(xf2))) = domain_of(xf2),
inference(superposition,[status(thm)],[c_49,c_151]) ).
cnf(c_177886,plain,
subclass(range_of(xh),domain_of(domain_of(xf2))),
inference(superposition,[status(thm)],[c_50,c_156]) ).
cnf(c_178060,plain,
( ~ member(X0,domain_of(domain_of(xf2)))
| ~ member(X1,domain_of(domain_of(xf2)))
| member(ordered_pair(X0,X1),domain_of(xf2)) ),
inference(superposition,[status(thm)],[c_177641,c_88]) ).
cnf(c_178153,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_74,c_89]) ).
cnf(c_178251,plain,
( ~ member(not_subclass_element(X0,domain_of(X1)),universal_class)
| restrict(X1,singleton(not_subclass_element(X0,domain_of(X1))),universal_class) = null_class
| subclass(X0,domain_of(X1)) ),
inference(superposition,[status(thm)],[c_103,c_75]) ).
cnf(c_178374,plain,
( ~ member(X0,range_of(xh))
| member(X0,domain_of(domain_of(xf2))) ),
inference(superposition,[status(thm)],[c_177886,c_73]) ).
cnf(c_183278,plain,
ordered_pair(first(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)))) = not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),
inference(superposition,[status(thm)],[c_178153,c_51]) ).
cnf(c_183318,plain,
( ~ member(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),X1) ),
inference(superposition,[status(thm)],[c_183278,c_87]) ).
cnf(c_183319,plain,
( ~ member(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),X0) ),
inference(superposition,[status(thm)],[c_183278,c_86]) ).
cnf(c_183322,plain,
( ~ member(first(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),domain_of(domain_of(xf2)))
| ~ member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),domain_of(domain_of(xf2)))
| member(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),domain_of(xf2)) ),
inference(superposition,[status(thm)],[c_183278,c_178060]) ).
cnf(c_183332,plain,
member(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),universal_class),
inference(superposition,[status(thm)],[c_183278,c_3949]) ).
cnf(c_183376,plain,
( restrict(xf2,singleton(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),universal_class) = null_class
| subclass(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)) ),
inference(superposition,[status(thm)],[c_183332,c_178251]) ).
cnf(c_183381,plain,
restrict(xf2,singleton(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),universal_class) = null_class,
inference(forward_subsumption_resolution,[status(thm)],[c_183376,c_51]) ).
cnf(c_183386,plain,
~ member(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)),domain_of(xf2)),
inference(superposition,[status(thm)],[c_183381,c_102]) ).
cnf(c_183395,plain,
( ~ member(first(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),domain_of(domain_of(xf2)))
| ~ member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),domain_of(domain_of(xf2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_183322,c_183386]) ).
cnf(c_183656,plain,
( member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),range_of(xh))
| subclass(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)) ),
inference(superposition,[status(thm)],[c_74,c_183318]) ).
cnf(c_183663,plain,
member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),range_of(xh)),
inference(forward_subsumption_resolution,[status(thm)],[c_183656,c_51]) ).
cnf(c_183765,plain,
( member(first(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),range_of(xh))
| subclass(cross_product(range_of(xh),range_of(xh)),domain_of(xf2)) ),
inference(superposition,[status(thm)],[c_74,c_183319]) ).
cnf(c_183772,plain,
member(first(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),range_of(xh)),
inference(forward_subsumption_resolution,[status(thm)],[c_183765,c_51]) ).
cnf(c_210935,plain,
( ~ member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),domain_of(domain_of(xf2)))
| ~ member(first(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),range_of(xh)) ),
inference(superposition,[status(thm)],[c_178374,c_183395]) ).
cnf(c_210936,plain,
~ member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),domain_of(domain_of(xf2))),
inference(forward_subsumption_resolution,[status(thm)],[c_210935,c_183772]) ).
cnf(c_210939,plain,
~ member(second(not_subclass_element(cross_product(range_of(xh),range_of(xh)),domain_of(xf2))),range_of(xh)),
inference(superposition,[status(thm)],[c_178374,c_210936]) ).
cnf(c_210940,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_210939,c_183663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET559-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n018.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 14:29:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 266.09/35.94 % SZS status Started for theBenchmark.p
% 266.09/35.94 % SZS status Unsatisfiable for theBenchmark.p
% 266.09/35.94
% 266.09/35.94 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 266.09/35.94
% 266.09/35.94 ------ iProver source info
% 266.09/35.94
% 266.09/35.94 git: date: 2023-05-31 18:12:56 +0000
% 266.09/35.94 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 266.09/35.94 git: non_committed_changes: false
% 266.09/35.94 git: last_make_outside_of_git: false
% 266.09/35.94
% 266.09/35.94 ------ Parsing...successful
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94 ------ 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
% 266.09/35.94
% 266.09/35.94 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 266.09/35.94
% 266.09/35.94 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 266.09/35.94 ------ Proving...
% 266.09/35.94 ------ Problem Properties
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94 clauses 103
% 266.09/35.94 conjectures 3
% 266.09/35.94 EPR 14
% 266.09/35.94 Horn 95
% 266.09/35.94 unary 42
% 266.09/35.94 binary 40
% 266.09/35.94 lits 191
% 266.09/35.94 lits eq 44
% 266.09/35.94 fd_pure 0
% 266.09/35.94 fd_pseudo 0
% 266.09/35.94 fd_cond 3
% 266.09/35.94 fd_pseudo_cond 7
% 266.09/35.94 AC symbols 0
% 266.09/35.94
% 266.09/35.94 ------ Input Options Time Limit: Unbounded
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94 ------
% 266.09/35.94 Current options:
% 266.09/35.94 ------
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94 ------ Proving...
% 266.09/35.94
% 266.09/35.94
% 266.09/35.94 % SZS status Unsatisfiable for theBenchmark.p
% 266.09/35.94
% 266.09/35.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 266.09/35.94
% 266.09/35.94
%------------------------------------------------------------------------------