TSTP Solution File: SET675+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : Tue Apr 30 20:40:09 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 20 unt; 0 def)
% Number of atoms : 262 ( 74 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 284 ( 117 ~; 114 |; 16 &)
% ( 4 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 162 ( 159 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> image(B,domain_of(B)) = range_of(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> inverse2(B,range_of(B)) = domain_of(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( image4(B,C,D,B) = range(B,C,D)
& inverse4(B,C,D,C) = domain(B,C,D) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> relation_like(D) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> domain(B,C,D) = domain_of(D) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> range(B,C,D) = range_of(D) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ! [E] :
( ilf_type(E,set_type)
=> image4(B,C,D,E) = image(D,E) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ! [E] :
( ilf_type(E,set_type)
=> inverse4(B,C,D,E) = inverse2(D,E) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(C,B))
=> ( image4(C,B,D,inverse4(C,B,D,B)) = range(C,B,D)
& inverse4(C,B,D,image4(C,B,D,C)) = domain(C,B,D) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(C,B))
=> ( image4(C,B,D,inverse4(C,B,D,B)) = range(C,B,D)
& inverse4(C,B,D,image4(C,B,D,C)) = domain(C,B,D) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| image(B,domain_of(B)) = range_of(B) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| image(X0,domain_of(X0)) = range_of(X0) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| inverse2(B,range_of(B)) = domain_of(B) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| inverse2(X0,range_of(X0)) = domain_of(X0) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| ( image4(B,C,D,B) = range(B,C,D)
& inverse4(B,C,D,C) = domain(B,C,D) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| image4(X0,X1,X2,X0) = range(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| inverse4(X0,X1,X2,X1) = domain(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f45,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f66,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f67,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ( ~ ilf_type(B,binary_relation_type)
| ( relation_like(B)
& ilf_type(B,set_type) ) )
& ( ilf_type(B,binary_relation_type)
| ~ relation_like(B)
| ~ ilf_type(B,set_type) ) ) ),
inference(NNF_transformation,[status(esa)],[f66]) ).
fof(f70,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f115,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| relation_like(D) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f127,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| domain(B,C,D) = domain_of(D) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f27]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f131,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| range(B,C,D) = range_of(D) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f135,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| ! [E] :
( ~ ilf_type(E,set_type)
| image4(B,C,D,E) = image(D,E) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| image4(X0,X1,X2,X3) = image(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f139,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| ! [E] :
( ~ ilf_type(E,set_type)
| inverse4(B,C,D,E) = inverse2(D,E) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f143,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f144,plain,
? [B] :
( ilf_type(B,set_type)
& ? [C] :
( ilf_type(C,set_type)
& ? [D] :
( ilf_type(D,relation_type(C,B))
& ( image4(C,B,D,inverse4(C,B,D,B)) != range(C,B,D)
| inverse4(C,B,D,image4(C,B,D,C)) != domain(C,B,D) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f145,plain,
( ilf_type(sk0_10,set_type)
& ilf_type(sk0_11,set_type)
& ilf_type(sk0_12,relation_type(sk0_11,sk0_10))
& ( image4(sk0_11,sk0_10,sk0_12,inverse4(sk0_11,sk0_10,sk0_12,sk0_10)) != range(sk0_11,sk0_10,sk0_12)
| inverse4(sk0_11,sk0_10,sk0_12,image4(sk0_11,sk0_10,sk0_12,sk0_11)) != domain(sk0_11,sk0_10,sk0_12) ) ),
inference(skolemization,[status(esa)],[f144]) ).
fof(f148,plain,
ilf_type(sk0_12,relation_type(sk0_11,sk0_10)),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f149,plain,
( image4(sk0_11,sk0_10,sk0_12,inverse4(sk0_11,sk0_10,sk0_12,sk0_10)) != range(sk0_11,sk0_10,sk0_12)
| inverse4(sk0_11,sk0_10,sk0_12,image4(sk0_11,sk0_10,sk0_12,sk0_11)) != domain(sk0_11,sk0_10,sk0_12) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f150,plain,
( spl0_0
<=> image4(sk0_11,sk0_10,sk0_12,inverse4(sk0_11,sk0_10,sk0_12,sk0_10)) = range(sk0_11,sk0_10,sk0_12) ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( image4(sk0_11,sk0_10,sk0_12,inverse4(sk0_11,sk0_10,sk0_12,sk0_10)) != range(sk0_11,sk0_10,sk0_12)
| spl0_0 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( spl0_1
<=> inverse4(sk0_11,sk0_10,sk0_12,image4(sk0_11,sk0_10,sk0_12,sk0_11)) = domain(sk0_11,sk0_10,sk0_12) ),
introduced(split_symbol_definition) ).
fof(f155,plain,
( inverse4(sk0_11,sk0_10,sk0_12,image4(sk0_11,sk0_10,sk0_12,sk0_11)) != domain(sk0_11,sk0_10,sk0_12)
| spl0_1 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f149,f150,f153]) ).
fof(f161,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f70]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X3,set_type)
| inverse4(X2,X0,X1,X3) = inverse2(X1,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f140,f143]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X3,set_type)
| inverse4(X1,X2,X0,X3) = inverse2(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f143]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X3,set_type)
| image4(X2,X0,X1,X3) = image(X1,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f136,f143]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X3,set_type)
| image4(X1,X2,X0,X3) = image(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f143]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| range(X2,X0,X1) = range_of(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f132,f143]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| range(X1,X2,X0) = range_of(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f143]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| domain(X2,X0,X1) = domain_of(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f128,f143]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| domain(X1,X2,X0) = domain_of(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f178,f143]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
| relation_like(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f116,f143]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| relation_like(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f143]) ).
fof(f212,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f161,f143]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ilf_type(X1,subset_type(cross_product(X2,X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f47,f143]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[f219,f143]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| inverse4(X2,X0,X1,X0) = domain(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f44,f143]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| inverse4(X1,X2,X0,X2) = domain(X1,X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f143]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| image4(X2,X0,X1,X2) = range(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f43,f143]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| image4(X1,X2,X0,X1) = range(X1,X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f143]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
| inverse4(X1,X2,X0,X3) = inverse2(X0,X3) ),
inference(resolution,[status(thm)],[f167,f143]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
| image4(X1,X2,X0,X3) = image(X0,X3) ),
inference(resolution,[status(thm)],[f171,f143]) ).
fof(f263,plain,
range(sk0_11,sk0_10,sk0_12) = range_of(sk0_12),
inference(resolution,[status(thm)],[f175,f148]) ).
fof(f291,plain,
domain(sk0_11,sk0_10,sk0_12) = domain_of(sk0_12),
inference(resolution,[status(thm)],[f179,f148]) ).
fof(f314,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[status(thm)],[f220,f185]) ).
fof(f316,plain,
relation_like(sk0_12),
inference(resolution,[status(thm)],[f314,f148]) ).
fof(f317,plain,
ilf_type(sk0_12,binary_relation_type),
inference(resolution,[status(thm)],[f316,f212]) ).
fof(f318,plain,
inverse2(sk0_12,range_of(sk0_12)) = domain_of(sk0_12),
inference(resolution,[status(thm)],[f317,f41]) ).
fof(f319,plain,
image(sk0_12,domain_of(sk0_12)) = range_of(sk0_12),
inference(resolution,[status(thm)],[f317,f39]) ).
fof(f399,plain,
! [X0] : inverse4(sk0_11,sk0_10,sk0_12,X0) = inverse2(sk0_12,X0),
inference(resolution,[status(thm)],[f227,f148]) ).
fof(f400,plain,
( image4(sk0_11,sk0_10,sk0_12,inverse2(sk0_12,sk0_10)) != range(sk0_11,sk0_10,sk0_12)
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f399,f152]) ).
fof(f420,plain,
! [X0] : image4(sk0_11,sk0_10,sk0_12,X0) = image(sk0_12,X0),
inference(resolution,[status(thm)],[f247,f148]) ).
fof(f440,plain,
inverse4(sk0_11,sk0_10,sk0_12,sk0_10) = domain(sk0_11,sk0_10,sk0_12),
inference(resolution,[status(thm)],[f224,f148]) ).
fof(f441,plain,
inverse4(sk0_11,sk0_10,sk0_12,sk0_10) = domain_of(sk0_12),
inference(forward_demodulation,[status(thm)],[f291,f440]) ).
fof(f451,plain,
image4(sk0_11,sk0_10,sk0_12,sk0_11) = range(sk0_11,sk0_10,sk0_12),
inference(resolution,[status(thm)],[f226,f148]) ).
fof(f452,plain,
image4(sk0_11,sk0_10,sk0_12,sk0_11) = range_of(sk0_12),
inference(forward_demodulation,[status(thm)],[f263,f451]) ).
fof(f458,plain,
( image(sk0_12,inverse2(sk0_12,sk0_10)) != range(sk0_11,sk0_10,sk0_12)
| spl0_0 ),
inference(paramodulation,[status(thm)],[f420,f400]) ).
fof(f459,plain,
inverse2(sk0_12,sk0_10) = domain_of(sk0_12),
inference(paramodulation,[status(thm)],[f399,f441]) ).
fof(f466,plain,
( image(sk0_12,domain_of(sk0_12)) != range(sk0_11,sk0_10,sk0_12)
| spl0_0 ),
inference(backward_demodulation,[status(thm)],[f459,f458]) ).
fof(f469,plain,
( image(sk0_12,domain_of(sk0_12)) != range_of(sk0_12)
| spl0_0 ),
inference(paramodulation,[status(thm)],[f263,f466]) ).
fof(f470,plain,
( range_of(sk0_12) != range_of(sk0_12)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f319,f469]) ).
fof(f471,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f470]) ).
fof(f472,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( inverse4(sk0_11,sk0_10,sk0_12,image(sk0_12,sk0_11)) != domain(sk0_11,sk0_10,sk0_12)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f420,f155]) ).
fof(f483,plain,
( inverse2(sk0_12,image(sk0_12,sk0_11)) != domain(sk0_11,sk0_10,sk0_12)
| spl0_1 ),
inference(paramodulation,[status(thm)],[f399,f473]) ).
fof(f484,plain,
image(sk0_12,sk0_11) = range_of(sk0_12),
inference(paramodulation,[status(thm)],[f420,f452]) ).
fof(f491,plain,
( inverse2(sk0_12,range_of(sk0_12)) != domain(sk0_11,sk0_10,sk0_12)
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f484,f483]) ).
fof(f493,plain,
( inverse2(sk0_12,range_of(sk0_12)) != domain_of(sk0_12)
| spl0_1 ),
inference(paramodulation,[status(thm)],[f291,f491]) ).
fof(f494,plain,
( domain_of(sk0_12) != domain_of(sk0_12)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f318,f493]) ).
fof(f495,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f494]) ).
fof(f496,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f497,plain,
$false,
inference(sat_refutation,[status(thm)],[f156,f472,f496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET675+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 22:05:10 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.33 % Elapsed time: 0.032102 seconds
% 0.14/0.33 % CPU time: 0.113389 seconds
% 0.14/0.33 % Total memory used: 30.259 MB
% 0.14/0.33 % Net memory used: 30.192 MB
%------------------------------------------------------------------------------