%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEV517+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 : Fri Sep 25 03:00:56 PM UTC 2026
% Result : Theorem 15.99s 11.21s
% Output : Proof 15.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 13
% Syntax : Number of formulae : 135 ( 104 unt; 0 def)
% Number of atoms : 259 ( 109 equ)
% Maximal formula atoms : 22 ( 1 avg)
% Number of connectives : 200 ( 76 ~; 63 |; 50 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-4 aty)
% Number of variables : 168 ( 8 sgn 63 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,A] :
( member(X,sum(A))
<=> ? [Y] :
( member(X,Y)
& member(Y,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum) ).
fof(f9_nnf,plain,
! [X,A] :
( ( ! [Y] :
( ~ member(X,Y)
| ~ member(Y,A) )
| member(X,sum(A)) )
& ( ? [Y] :
( member(X,Y)
& member(Y,A) )
| ~ member(X,sum(A)) ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,A,Y] :
( ( ~ member(X,Y)
| ~ member(Y,A)
| member(X,sum(A)) )
& ( ( member(X,sk1(X,A))
& member(sk1(X,A),A) )
| ~ member(X,sum(A)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f9_nnf]) ).
cnf(c24,plain,
( member(X0,sk1(X0,X1))
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t112,plain,
ifeq(member(X1,sum(X2)),true,member(X1,sk1(X1,X2)),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t1018,plain,
ifeq(member(X1,sum(X2)),true,member(X1,sk1(X1,X2)),true) = true,
inference(orient,[status(thm)],[t112]) ).
fof(f7,axiom,
! [X,A] :
( member(X,singleton(A))
<=> X = A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
fof(f7_nnf,plain,
! [X,A] :
( ( X != A
| member(X,singleton(A)) )
& ( X = A
| ~ member(X,singleton(A)) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,A] :
( ( X != A
| member(X,singleton(A)) )
& ( X = A
| ~ member(X,singleton(A)) ) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c18,plain,
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t39,plain,
ifeq(member(X1,singleton(X2)),true,X1,X2) = X2,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t259,plain,
ifeq(member(X1,singleton(X2)),true,X1,X2) = X2,
inference(orient,[status(thm)],[t39]) ).
fof(f6,axiom,
! [B,A,E] :
( member(B,difference(E,A))
<=> ( ~ member(B,A)
& member(B,E) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f6_nnf,plain,
! [B,A,E] :
( ( member(B,A)
| ~ member(B,E)
| member(B,difference(E,A)) )
& ( ( ~ member(B,A)
& member(B,E) )
| ~ member(B,difference(E,A)) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [B,E,A] :
( ( member(B,A)
| ~ member(B,E)
| member(B,difference(E,A)) )
& ( ( ~ member(B,A)
& member(B,E) )
| ~ member(B,difference(E,A)) ) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c17,plain,
( member(X0,X1)
| ~ member(X0,X2)
| member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t135,plain,
ifeq(member(X1,X2),true,or(member(X1,difference(X2,X3)),member(X1,X3)),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t697,plain,
ifeq(member(X1,X2),true,or(member(X1,difference(X2,X3)),member(X1,X3)),true) = true,
inference(orient,[status(thm)],[t135]) ).
cnf(t18,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t2132,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t18]) ).
fof(f19,conjecture,
! [X,A,B,P] :
( ( partition(P,A)
& member(X,difference(A,B)) )
=> ? [S] :
( member(X,S)
& member(S,difference(P,singleton(B))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_elem_in_partition) ).
fof(f19_neg,negated_conjecture,
~ ! [X,A,B,P] :
( ( partition(P,A)
& member(X,difference(A,B)) )
=> ? [S] :
( member(X,S)
& member(S,difference(P,singleton(B))) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f19_nnf,plain,
? [X,A,B,P] :
( ! [S] :
( ~ member(X,S)
| ~ member(S,difference(P,singleton(B))) )
& partition(P,A)
& member(X,difference(A,B)) ),
inference(nnf_transformation,[status(thm)],[f19_neg]) ).
fof(f19_sk,plain,
! [S] :
( ( ~ member(sk24,S)
| ~ member(S,difference(sk27,singleton(sk26))) )
& partition(sk27,sk25)
& member(sk24,difference(sk25,sk26)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk24,sk25,sk26,sk27])],[f19_nnf]) ).
cnf(c138,plain,
( ~ member(sk24,X4)
| ~ member(X4,difference(sk27,singleton(sk26))) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(t120,plain,
or(not(member(X1,difference(sk27,singleton(sk26)))),not(member(sk24,X1))) = true,
inference(equality_encoding,[status(esa)],[c138]) ).
cnf(t444,plain,
or(not(member(X1,difference(sk27,singleton(sk26)))),not(member(sk24,X1))) = true,
inference(orient,[status(thm)],[t120]) ).
cnf(c23,plain,
( member(sk1(X0,X1),X1)
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t113,plain,
ifeq(member(X1,sum(X2)),true,member(sk1(X1,X2),X2),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t1024,plain,
ifeq(member(X1,sum(X2)),true,member(sk1(X1,X2),X2),true) = true,
inference(orient,[status(thm)],[t113]) ).
cnf(c15,plain,
( member(X0,X2)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi14,axiom,
ifeq(member(X0,difference(X1,X2)),true,member(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(c136,plain,
member(sk24,difference(sk25,sk26)),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi131,negated_conjecture,
member(sk24,difference(sk25,sk26)) = true,
inference(equality_encoding,[status(esa)],[c136]) ).
cnf(h249,plain,
member(sk24,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi14,hi131]) ).
fof(f12,axiom,
! [A,E] :
( partition(A,E)
<=> ( ! [X,Y] :
( ( member(Y,A)
& member(X,A) )
=> ( ? [Z] :
( member(Z,Y)
& member(Z,X) )
=> X = Y ) )
& ! [X] :
( member(X,E)
=> ? [Y] :
( member(X,Y)
& member(Y,A) ) )
& ! [X] :
( member(X,A)
=> subset(X,E) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition) ).
fof(f12_nnf,plain,
! [A,E] :
( ( ? [X,Y] :
( X != Y
& ? [Z] :
( member(Z,Y)
& member(Z,X) )
& member(Y,A)
& member(X,A) )
| ? [X] :
( ! [Y] :
( ~ member(X,Y)
| ~ member(Y,A) )
& member(X,E) )
| ? [X] :
( ~ subset(X,E)
& member(X,A) )
| partition(A,E) )
& ( ( ! [X,Y] :
( X = Y
| ! [Z] :
( ~ member(Z,Y)
| ~ member(Z,X) )
| ~ member(Y,A)
| ~ member(X,A) )
& ! [X] :
( ? [Y] :
( member(X,Y)
& member(Y,A) )
| ~ member(X,E) )
& ! [X] :
( subset(X,E)
| ~ member(X,A) ) )
| ~ partition(A,E) ) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,E,X,Y,Z] :
( ( ( sk7(A,E) != sk8(A,E)
& member(sk9(A,E),sk8(A,E))
& member(sk9(A,E),sk7(A,E))
& member(sk8(A,E),A)
& member(sk7(A,E),A) )
| ( ( ~ member(sk6(A,E),Y)
| ~ member(Y,A) )
& member(sk6(A,E),E) )
| ( ~ subset(sk5(A,E),E)
& member(sk5(A,E),A) )
| partition(A,E) )
& ( ( ( X = Y
| ~ member(Z,Y)
| ~ member(Z,X)
| ~ member(Y,A)
| ~ member(X,A) )
& ( ( member(X,sk4(A,E,X))
& member(sk4(A,E,X),A) )
| ~ member(X,E) )
& ( subset(X,E)
| ~ member(X,A) ) )
| ~ partition(A,E) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7,sk8,sk9])],[f12_nnf]) ).
cnf(c34,plain,
( member(X2,sk4(X0,X1,X2))
| ~ member(X2,X1)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi31,axiom,
ifeq(partition(X0,X1),true,ifeq(member(X2,X1),true,member(X2,sk4(X0,X1,X2)),true),true) = true,
inference(equality_encoding,[status(esa)],[c34]) ).
cnf(c137,plain,
partition(sk27,sk25),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi132,negated_conjecture,
partition(sk27,sk25) = true,
inference(equality_encoding,[status(esa)],[c137]) ).
cnf(h271,plain,
member(sk24,sk4(sk27,sk25,sk24)) = true,
inference(hyper_resolution,[status(thm)],[hi31,hi132,h249]) ).
cnf(c33,plain,
( member(sk4(X0,X1,X2),X0)
| ~ member(X2,X1)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi30,axiom,
ifeq(partition(X0,X1),true,ifeq(member(X2,X1),true,member(sk4(X0,X1,X2),X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(h272,plain,
member(sk4(sk27,sk25,sk24),sk27) = true,
inference(hyper_resolution,[status(thm)],[hi30,hi132,h249]) ).
cnf(c25,plain,
( ~ member(X0,X2)
| ~ member(X2,X1)
| member(X0,sum(X1)) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi23,axiom,
ifeq(member(X0,X1),true,ifeq(member(X2,X0),true,member(X2,sum(X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h5066,plain,
member(sk24,sum(sk27)) = true,
inference(hyper_resolution,[status(thm)],[hi23,h272,h271]) ).
cnf(c19,plain,
( X0 != X1
| member(X0,singleton(X1)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi17,axiom,
ifeq(X0,X1,member(X0,singleton(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(hi143,axiom,
or(false,X0) = X0,
introduced(definition) ).
cnf(h173,plain,
member(V0,singleton(or(false,V0))) = true,
inference(hyper_resolution,[status(thm)],[hi17,hi143]) ).
cnf(t54,plain,
member(sk24,sum(singleton(or(false,sum(sk27))))) = true,
inference(hyper_resolution,[status(thm)],[hi23,h173,h5066]) ).
cnf(t7,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t257,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t40639,plain,
member(sk24,sum(singleton(sum(sk27)))) = true,
inference(step,[status(thm)],[t54,t257]) ).
cnf(t358,plain,
member(sk24,sum(singleton(sum(sk27)))) = true,
inference(orient,[status(thm)],[t40639]) ).
cnf(t1029,plain,
true = ifeq(true,true,member(sk1(sk24,singleton(sum(sk27))),singleton(sum(sk27))),true),
inference(cp,[status(thm)],[t1024,t358]) ).
cnf(t11,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t258,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t11]) ).
cnf(t40910,plain,
true = member(sk1(sk24,singleton(sum(sk27))),singleton(sum(sk27))),
inference(step,[status(thm)],[t1029,t258]) ).
cnf(t13081,plain,
member(sk1(sk24,singleton(sum(sk27))),singleton(sum(sk27))) = true,
inference(orient,[status(thm)],[t40910]) ).
cnf(t13082,plain,
sum(sk27) = ifeq(true,true,sk1(sk24,singleton(sum(sk27))),sum(sk27)),
inference(cp,[status(thm)],[t259,t13081]) ).
cnf(t40911,plain,
sum(sk27) = sk1(sk24,singleton(sum(sk27))),
inference(step,[status(thm)],[t13082,t258]) ).
cnf(t13143,plain,
sk1(sk24,singleton(sum(sk27))) = sum(sk27),
inference(orient,[status(thm)],[t40911]) ).
cnf(t13144,plain,
true = ifeq(member(sk24,sum(singleton(sum(sk27)))),true,member(sk24,sum(sk27)),true),
inference(cp,[status(thm)],[t1018,t13143]) ).
cnf(t40913,plain,
true = ifeq(true,true,member(sk24,sum(sk27)),true),
inference(step,[status(thm)],[t13144,t358]) ).
cnf(t40914,plain,
true = member(sk24,sum(sk27)),
inference(step,[status(thm)],[t40913,t258]) ).
cnf(t13146,plain,
member(sk24,sum(sk27)) = true,
inference(orient,[status(thm)],[t40914]) ).
cnf(t13152,plain,
true = ifeq(true,true,member(sk24,sk1(sk24,sk27)),true),
inference(cp,[status(thm)],[t1018,t13146]) ).
cnf(t40915,plain,
true = member(sk24,sk1(sk24,sk27)),
inference(step,[status(thm)],[t13152,t258]) ).
cnf(t13208,plain,
member(sk24,sk1(sk24,sk27)) = true,
inference(orient,[status(thm)],[t40915]) ).
cnf(t13249,plain,
true = or(not(member(sk1(sk24,sk27),difference(sk27,singleton(sk26)))),not(true)),
inference(cp,[status(thm)],[t444,t13208]) ).
cnf(t2,plain,
not(true) = false,
introduced(definition) ).
cnf(t2133,plain,
not(true) = false,
inference(orient,[status(thm)],[t2]) ).
cnf(t41740,plain,
true = or(not(member(sk1(sk24,sk27),difference(sk27,singleton(sk26)))),false),
inference(step,[status(thm)],[t13249,t2133]) ).
cnf(t5,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t256,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t41741,plain,
true = not(member(sk1(sk24,sk27),difference(sk27,singleton(sk26)))),
inference(step,[status(thm)],[t41740,t256]) ).
cnf(t40074,plain,
not(member(sk1(sk24,sk27),difference(sk27,singleton(sk26)))) = true,
inference(orient,[status(thm)],[t41741]) ).
cnf(t40075,plain,
false = ifeq(true,true,member(sk1(sk24,sk27),difference(sk27,singleton(sk26))),false),
inference(cp,[status(thm)],[t2132,t40074]) ).
cnf(t41742,plain,
false = member(sk1(sk24,sk27),difference(sk27,singleton(sk26))),
inference(step,[status(thm)],[t40075,t258]) ).
cnf(t40076,plain,
member(sk1(sk24,sk27),difference(sk27,singleton(sk26))) = false,
inference(orient,[status(thm)],[t41742]) ).
cnf(t40092,plain,
true = ifeq(member(sk1(sk24,sk27),sk27),true,or(false,member(sk1(sk24,sk27),singleton(sk26))),true),
inference(cp,[status(thm)],[t697,t40076]) ).
cnf(hi21,axiom,
ifeq(member(X0,sum(X1)),true,member(sk1(X0,X1),X1),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(h5165,plain,
member(sk1(sk24,sk27),sk27) = true,
inference(hyper_resolution,[status(thm)],[hi21,h5066]) ).
cnf(t74,plain,
member(sk1(sk24,sk27),sum(singleton(or(false,sk27)))) = true,
inference(hyper_resolution,[status(thm)],[hi23,h173,h5165]) ).
cnf(t40646,plain,
member(sk1(sk24,sk27),sum(singleton(sk27))) = true,
inference(step,[status(thm)],[t74,t257]) ).
cnf(t393,plain,
member(sk1(sk24,sk27),sum(singleton(sk27))) = true,
inference(orient,[status(thm)],[t40646]) ).
cnf(t1025,plain,
true = ifeq(true,true,member(sk1(sk1(sk24,sk27),singleton(sk27)),singleton(sk27)),true),
inference(cp,[status(thm)],[t1024,t393]) ).
cnf(t40884,plain,
true = member(sk1(sk1(sk24,sk27),singleton(sk27)),singleton(sk27)),
inference(step,[status(thm)],[t1025,t258]) ).
cnf(t12119,plain,
member(sk1(sk1(sk24,sk27),singleton(sk27)),singleton(sk27)) = true,
inference(orient,[status(thm)],[t40884]) ).
cnf(t12120,plain,
sk27 = ifeq(true,true,sk1(sk1(sk24,sk27),singleton(sk27)),sk27),
inference(cp,[status(thm)],[t259,t12119]) ).
cnf(t40885,plain,
sk27 = sk1(sk1(sk24,sk27),singleton(sk27)),
inference(step,[status(thm)],[t12120,t258]) ).
cnf(t12181,plain,
sk1(sk1(sk24,sk27),singleton(sk27)) = sk27,
inference(orient,[status(thm)],[t40885]) ).
cnf(t12182,plain,
true = ifeq(member(sk1(sk24,sk27),sum(singleton(sk27))),true,member(sk1(sk24,sk27),sk27),true),
inference(cp,[status(thm)],[t1018,t12181]) ).
cnf(t40886,plain,
true = ifeq(true,true,member(sk1(sk24,sk27),sk27),true),
inference(step,[status(thm)],[t12182,t393]) ).
cnf(t40887,plain,
true = member(sk1(sk24,sk27),sk27),
inference(step,[status(thm)],[t40886,t258]) ).
cnf(t12183,plain,
member(sk1(sk24,sk27),sk27) = true,
inference(orient,[status(thm)],[t40887]) ).
cnf(t41743,plain,
true = ifeq(true,true,or(false,member(sk1(sk24,sk27),singleton(sk26))),true),
inference(step,[status(thm)],[t40092,t12183]) ).
cnf(t41744,plain,
true = or(false,member(sk1(sk24,sk27),singleton(sk26))),
inference(step,[status(thm)],[t41743,t258]) ).
cnf(t41745,plain,
true = member(sk1(sk24,sk27),singleton(sk26)),
inference(step,[status(thm)],[t41744,t257]) ).
cnf(t40143,plain,
member(sk1(sk24,sk27),singleton(sk26)) = true,
inference(orient,[status(thm)],[t41745]) ).
cnf(t40144,plain,
sk26 = ifeq(true,true,sk1(sk24,sk27),sk26),
inference(cp,[status(thm)],[t259,t40143]) ).
cnf(t41746,plain,
sk26 = sk1(sk24,sk27),
inference(step,[status(thm)],[t40144,t258]) ).
cnf(t40218,plain,
sk1(sk24,sk27) = sk26,
inference(orient,[status(thm)],[t41746]) ).
cnf(t40224,plain,
true = ifeq(member(sk24,sum(sk27)),true,member(sk24,sk26),true),
inference(cp,[status(thm)],[t1018,t40218]) ).
cnf(t41793,plain,
true = ifeq(true,true,member(sk24,sk26),true),
inference(step,[status(thm)],[t40224,t13146]) ).
cnf(t41794,plain,
true = member(sk24,sk26),
inference(step,[status(thm)],[t41793,t258]) ).
cnf(c16,plain,
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t109,plain,
or(not(member(X1,difference(X2,X3))),not(member(X1,X3))) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t423,plain,
or(not(member(X1,difference(X2,X3))),not(member(X1,X3))) = true,
inference(orient,[status(thm)],[t109]) ).
cnf(t15,plain,
member(sk24,difference(sk25,sk26)) = true,
inference(equality_encoding,[status(esa)],[c136]) ).
cnf(t348,plain,
member(sk24,difference(sk25,sk26)) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t424,plain,
true = or(not(true),not(member(sk24,sk26))),
inference(cp,[status(thm)],[t423,t348]) ).
cnf(t40708,plain,
true = or(false,not(member(sk24,sk26))),
inference(step,[status(thm)],[t424,t2133]) ).
cnf(t40709,plain,
true = not(member(sk24,sk26)),
inference(step,[status(thm)],[t40708,t257]) ).
cnf(t3709,plain,
not(member(sk24,sk26)) = true,
inference(orient,[status(thm)],[t40709]) ).
cnf(t3710,plain,
false = ifeq(true,true,member(sk24,sk26),false),
inference(cp,[status(thm)],[t2132,t3709]) ).
cnf(t40710,plain,
false = member(sk24,sk26),
inference(step,[status(thm)],[t3710,t258]) ).
cnf(t3711,plain,
member(sk24,sk26) = false,
inference(orient,[status(thm)],[t40710]) ).
cnf(t41795,plain,
true = false,
inference(step,[status(thm)],[t41794,t3711]) ).
cnf(t40266,plain,
false = true,
inference(orient,[status(thm)],[t41795]) ).
fof(f5,axiom,
! [X] : ~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f5_nnf,plain,
! [X] : ~ member(X,empty_set),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] : ~ member(X,empty_set),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c14,plain,
~ member(X0,empty_set),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f11,axiom,
! [A,B] :
( disjoint(A,B)
<=> ~ ? [X] :
( member(X,B)
& member(X,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint) ).
fof(f11_nnf,plain,
! [A,B] :
( ( ? [X] :
( member(X,B)
& member(X,A) )
| disjoint(A,B) )
& ( ! [X] :
( ~ member(X,B)
| ~ member(X,A) )
| ~ disjoint(A,B) ) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B,X] :
( ( ( member(sk3(A,B),B)
& member(sk3(A,B),A) )
| disjoint(A,B) )
& ( ~ member(X,B)
| ~ member(X,A)
| ~ disjoint(A,B) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f11_nnf]) ).
cnf(c29,plain,
( ~ member(X2,X1)
| ~ member(X2,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c14,c16,c29,c138]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t40266]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV517+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 14:54:36 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.99/11.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.99/11.21 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------