%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET018+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:08:53 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 105 ( 9 unt; 7 def)
% Number of atoms : 283 ( 69 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 317 ( 139 ~; 143 |; 20 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 100 ( 90 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( equal_set(A,B)
<=> ( subset(B,A)
& subset(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,A] :
( member(X,singleton(A))
<=> X = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,A,B] :
( member(X,unordered_pair(A,B))
<=> ( X = B
| X = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
! [A,B,U,V] :
( equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))
=> B = V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [A,B,U,V] :
( equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))
=> B = V ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,B)
| ~ member(X,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
! [A,B] :
( ( ? [X] :
( ~ member(X,B)
& member(X,A) )
| subset(A,B) )
& ( ! [X] :
( member(X,B)
| ~ member(X,A) )
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
( ! [A,B] :
( ? [X] :
( ~ member(X,B)
& member(X,A) )
| subset(A,B) )
& ! [A,B] :
( ! [X] :
( member(X,B)
| ~ member(X,A) )
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
( ! [A,B] :
( ( ~ member(sK0_skl(B,A),B)
& member(sK0_skl(B,A),A) )
| subset(A,B) )
& ! [A,B] :
( ! [X] :
( member(X,B)
| ~ member(X,A) )
| ~ subset(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| equal_set(A,B) )
& ( ( subset(B,A)
& subset(A,B) )
| ~ equal_set(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
( ! [A,B] :
( ~ subset(B,A)
| ~ subset(A,B)
| equal_set(A,B) )
& ! [A,B] :
( ( subset(B,A)
& subset(A,B) )
| ~ equal_set(A,B) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ equal_set(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ equal_set(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f46,plain,
! [X,A] :
( ( X != A
| member(X,singleton(A)) )
& ( X = A
| ~ member(X,singleton(A)) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f47,plain,
( ! [X,A] :
( X != A
| member(X,singleton(A)) )
& ! [X,A] :
( X = A
| ~ member(X,singleton(A)) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( X0 != X1
| member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f50,plain,
! [X,A,B] :
( ( ( X != B
& X != A )
| member(X,unordered_pair(A,B)) )
& ( X = B
| X = A
| ~ member(X,unordered_pair(A,B)) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f51,plain,
( ! [X,A,B] :
( ( X != B
& X != A )
| member(X,unordered_pair(A,B)) )
& ! [X,A,B] :
( X = B
| X = A
| ~ member(X,unordered_pair(A,B)) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( X0 != X1
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f54,plain,
! [X0,X1,X2] :
( X0 != X2
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f68,plain,
? [A,B,U,V] :
( B != V
& equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V))) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f69,plain,
? [B,V] :
( B != V
& ? [A,U] : equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V))) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f70,plain,
( sK3_skl != sK4_skl
& equal_set(unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)),unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(B,sK3_skl),skolemize(V,sK4_skl),skolemize(A,sK5_skl),skolemize(U,sK6_skl)],[f69]) ).
fof(f71,plain,
equal_set(unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)),unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl))),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
sK3_skl != sK4_skl,
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
! [X0] : member(X0,singleton(X0)),
inference(destructive_equality_resolution,[status(thm)],[f49]) ).
fof(f74,plain,
! [X0,X1] : member(X0,unordered_pair(X0,X1)),
inference(destructive_equality_resolution,[status(thm)],[f53]) ).
fof(f75,plain,
! [X0,X1] : member(X0,unordered_pair(X1,X0)),
inference(destructive_equality_resolution,[status(thm)],[f54]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ equal_set(X2,X1)
| member(X0,X2)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f18,f24]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ equal_set(X1,X2)
| member(X0,X2)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f18,f23]) ).
fof(f81,plain,
! [X0] :
( member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)))
| ~ member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f79,f71]) ).
fof(f93,plain,
member(unordered_pair(sK6_skl,sK4_skl),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl))),
inference(resolution,[status(thm)],[f81,f75]) ).
fof(f94,plain,
member(singleton(sK6_skl),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl))),
inference(resolution,[status(thm)],[f81,f74]) ).
fof(f95,plain,
( singleton(sK6_skl) = unordered_pair(sK5_skl,sK3_skl)
| singleton(sK6_skl) = singleton(sK5_skl) ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f96,definition,
( sQ0_spl
<=> singleton(sK6_skl) = singleton(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ0_spl
| singleton(sK6_skl) = singleton(sK5_skl) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f98,plain,
( sQ0_spl
| singleton(sK6_skl) != singleton(sK5_skl) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
( sQ1_spl
<=> singleton(sK6_skl) = unordered_pair(sK5_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ1_spl
| singleton(sK6_skl) = unordered_pair(sK5_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( sQ1_spl
| singleton(sK6_skl) != unordered_pair(sK5_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f95,f96,f99]) ).
fof(f105,plain,
( ~ sQ0_spl
| equal_set(unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)),unordered_pair(singleton(sK5_skl),unordered_pair(sK6_skl,sK4_skl))) ),
inference(backward_demodulation,[status(thm)],[f97,f71]) ).
fof(f107,plain,
( ~ sQ0_spl
| member(sK6_skl,singleton(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f97,f73]) ).
fof(f109,plain,
( ~ sQ0_spl
| sK6_skl = sK5_skl ),
inference(resolution,[status(thm)],[f107,f48]) ).
fof(f111,plain,
( ~ sQ0_spl
| equal_set(unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK4_skl))) ),
inference(backward_demodulation,[status(thm)],[f109,f105]) ).
fof(f115,plain,
( ~ sQ0_spl
| member(unordered_pair(sK5_skl,sK4_skl),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl))) ),
inference(forward_demodulation,[status(thm)],[f109,f93]) ).
fof(f116,plain,
( ~ sQ0_spl
| unordered_pair(sK5_skl,sK4_skl) = unordered_pair(sK5_skl,sK3_skl)
| unordered_pair(sK5_skl,sK4_skl) = singleton(sK5_skl) ),
inference(resolution,[status(thm)],[f115,f52]) ).
fof(f117,definition,
( sQ2_spl
<=> unordered_pair(sK5_skl,sK4_skl) = singleton(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ2_spl
| unordered_pair(sK5_skl,sK4_skl) = singleton(sK5_skl) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ3_spl
<=> unordered_pair(sK5_skl,sK4_skl) = unordered_pair(sK5_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ3_spl
| unordered_pair(sK5_skl,sK4_skl) = unordered_pair(sK5_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( ~ sQ0_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f116,f117,f120,f96]) ).
fof(f125,plain,
( ~ sQ1_spl
| member(sK3_skl,singleton(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f100,f75]) ).
fof(f126,plain,
( ~ sQ1_spl
| member(sK5_skl,singleton(sK6_skl)) ),
inference(paramodulation,[status(thm)],[f100,f74]) ).
fof(f133,plain,
( ~ sQ1_spl
| sK3_skl = sK6_skl ),
inference(resolution,[status(thm)],[f125,f48]) ).
fof(f142,plain,
( ~ sQ1_spl
| member(sK5_skl,singleton(sK3_skl)) ),
inference(forward_demodulation,[status(thm)],[f133,f126]) ).
fof(f143,plain,
( ~ sQ1_spl
| sK5_skl = sK3_skl ),
inference(resolution,[status(thm)],[f142,f48]) ).
fof(f163,plain,
( ~ sQ2_spl
| member(sK4_skl,singleton(sK5_skl)) ),
inference(paramodulation,[status(thm)],[f118,f75]) ).
fof(f165,plain,
( ~ sQ2_spl
| sK4_skl = sK5_skl ),
inference(resolution,[status(thm)],[f163,f48]) ).
fof(f167,plain,
( ~ sQ2_spl
| unordered_pair(sK5_skl,sK4_skl) = singleton(sK4_skl) ),
inference(backward_demodulation,[status(thm)],[f165,f118]) ).
fof(f168,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| sK6_skl = sK4_skl ),
inference(backward_demodulation,[status(thm)],[f165,f109]) ).
fof(f169,plain,
( ~ sQ2_spl
| unordered_pair(sK4_skl,sK4_skl) = singleton(sK4_skl) ),
inference(forward_demodulation,[status(thm)],[f165,f167]) ).
fof(f176,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| singleton(sK4_skl) != unordered_pair(sK5_skl,sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f168,f101]) ).
fof(f177,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| singleton(sK4_skl) != unordered_pair(sK4_skl,sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f165,f176]) ).
fof(f193,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| equal_set(unordered_pair(singleton(sK4_skl),unordered_pair(sK5_skl,sK3_skl)),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f165,f111]) ).
fof(f194,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| equal_set(unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f165,f193]) ).
fof(f195,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| equal_set(unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)),unordered_pair(singleton(sK4_skl),unordered_pair(sK5_skl,sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f165,f194]) ).
fof(f196,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| equal_set(unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)),unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f165,f195]) ).
fof(f197,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| equal_set(unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)),unordered_pair(singleton(sK4_skl),singleton(sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f169,f196]) ).
fof(f198,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ2_spl
| member(X0,unordered_pair(singleton(sK4_skl),singleton(sK4_skl)))
| ~ member(X0,unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl))) ),
inference(resolution,[status(thm)],[f197,f80]) ).
fof(f243,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| member(unordered_pair(sK4_skl,sK3_skl),unordered_pair(singleton(sK4_skl),singleton(sK4_skl))) ),
inference(resolution,[status(thm)],[f198,f75]) ).
fof(f245,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| unordered_pair(sK4_skl,sK3_skl) = singleton(sK4_skl)
| unordered_pair(sK4_skl,sK3_skl) = singleton(sK4_skl) ),
inference(resolution,[status(thm)],[f243,f52]) ).
fof(f248,definition,
( sQ4_spl
<=> unordered_pair(sK4_skl,sK3_skl) = singleton(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ4_spl
| unordered_pair(sK4_skl,sK3_skl) = singleton(sK4_skl) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f245,f248,f117,f96]) ).
fof(f252,plain,
( ~ sQ4_spl
| sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f177]) ).
fof(f253,plain,
( ~ sQ4_spl
| sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f252]) ).
fof(f268,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| sK3_skl = sK4_skl ),
inference(forward_demodulation,[status(thm)],[f168,f133]) ).
fof(f269,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f72]) ).
fof(f270,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f269]) ).
fof(f277,plain,
( ~ sQ3_spl
| member(sK4_skl,unordered_pair(sK5_skl,sK3_skl)) ),
inference(paramodulation,[status(thm)],[f121,f75]) ).
fof(f279,plain,
( ~ sQ3_spl
| sK4_skl = sK3_skl
| sK4_skl = sK5_skl ),
inference(resolution,[status(thm)],[f277,f52]) ).
fof(f282,definition,
( sQ5_spl
<=> sK4_skl = sK5_skl ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ5_spl
| sK4_skl = sK5_skl ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ6_spl
<=> sK4_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ6_spl
| sK4_skl = sK3_skl ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( ~ sQ3_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f279,f282,f285,f120]) ).
fof(f290,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| unordered_pair(sK5_skl,sK4_skl) = unordered_pair(sK4_skl,sK3_skl) ),
inference(backward_demodulation,[status(thm)],[f283,f121]) ).
fof(f293,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| unordered_pair(sK4_skl,sK4_skl) = unordered_pair(sK4_skl,sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f283,f290]) ).
fof(f308,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ5_spl
| X0 = sK4_skl
| X0 = sK4_skl
| ~ member(X0,unordered_pair(sK4_skl,sK3_skl)) ),
inference(paramodulation,[status(thm)],[f293,f52]) ).
fof(f311,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ5_spl
| X0 = sK4_skl
| ~ member(X0,unordered_pair(sK4_skl,sK3_skl)) ),
inference(duplicate_literals_removal,[status(thm)],[f308]) ).
fof(f312,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| sK3_skl = sK4_skl ),
inference(resolution,[status(thm)],[f311,f75]) ).
fof(f314,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f72]) ).
fof(f315,plain,
( ~ sQ3_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ0_spl
| ~ sQ1_spl
| singleton(sK3_skl) != singleton(sK5_skl) ),
inference(forward_demodulation,[status(thm)],[f133,f98]) ).
fof(f317,plain,
( sQ0_spl
| ~ sQ1_spl
| singleton(sK3_skl) != singleton(sK3_skl) ),
inference(forward_demodulation,[status(thm)],[f143,f316]) ).
fof(f318,plain,
( sQ0_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f72]) ).
fof(f321,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f320]) ).
fof(f322,plain,
$false,
inference(sat_refutation,[status(thm)],[f102,f123,f251,f253,f270,f288,f315,f319,f321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET018+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 04:43:39 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.058413 seconds
% 0.12/0.41 % CPU time: 0.184623 seconds
% 0.12/0.41 % Total memory used: 82.251 MB
% 0.12/0.41 % Net memory used: 81.886 MB
%------------------------------------------------------------------------------