%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET201-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 02:42:52 PM UTC 2026
% Result : Unsatisfiable 250.40s 32.86s
% Output : Proof 250.40s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t110,axiom,
sF0 = subclass(x,y),
introduced(definition) ).
cnf(f112,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_1) ).
fof(f112_nnf,plain,
subclass(x,y),
inference(nnf_transformation,[status(thm)],[f112]) ).
cnf(c112,plain,
subclass(x,y),
inference(cnf_transformation,[status(esa)],[f112_nnf]) ).
cnf(t11,plain,
subclass(x,y) = true,
inference(equality_encoding,[status(esa)],[c112]) ).
cnf(t127,plain,
subclass(x,y) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(t48770,plain,
sF0 = true,
inference(step,[status(thm)],[t110,t127]) ).
cnf(t129,plain,
true = sF0,
inference(orient,[status(thm)],[t48770]) ).
cnf(t114,axiom,
sF4 = subclass(intersection(x,z),intersection(y,w)),
introduced(definition) ).
cnf(t112,axiom,
sF2 = intersection(x,z),
introduced(definition) ).
cnf(t151,plain,
intersection(x,z) = sF2,
inference(orient,[status(thm)],[t112]) ).
cnf(t48813,plain,
sF4 = subclass(sF2,intersection(y,w)),
inference(step,[status(thm)],[t114,t151]) ).
cnf(t113,axiom,
sF3 = intersection(y,w),
introduced(definition) ).
cnf(t152,plain,
intersection(y,w) = sF3,
inference(orient,[status(thm)],[t113]) ).
cnf(t48814,plain,
sF4 = subclass(sF2,sF3),
inference(step,[status(thm)],[t48813,t152]) ).
cnf(f114,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_3) ).
fof(f114_nnf,plain,
~ subclass(intersection(x,z),intersection(y,w)),
inference(nnf_transformation,[status(thm)],[f114]) ).
fof(f114_sk,plain,
~ subclass(intersection(x,z),intersection(y,w)),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c114,plain,
~ subclass(intersection(x,z),intersection(y,w)),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(t30,plain,
subclass(intersection(x,z),intersection(y,w)) = false,
inference(equality_encoding,[status(esa)],[c114]) ).
cnf(t48811,plain,
subclass(sF2,intersection(y,w)) = false,
inference(step,[status(thm)],[t30,t151]) ).
cnf(t48812,plain,
subclass(sF2,sF3) = false,
inference(step,[status(thm)],[t48811,t152]) ).
cnf(t206,plain,
subclass(sF2,sF3) = false,
inference(orient,[status(thm)],[t48812]) ).
cnf(t48815,plain,
sF4 = false,
inference(step,[status(thm)],[t48814,t206]) ).
cnf(t211,plain,
false = sF4,
inference(orient,[status(thm)],[t48815]) ).
cnf(f2,axiom,
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f2_nnf,plain,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t51,plain,
ifeq(member(not_subclass_element(X1,X2),X2),true,subclass(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t48903,plain,
ifeq(member(not_subclass_element(X1,X2),X2),sF0,subclass(X1,X2),true) = true,
inference(step,[status(thm)],[t51,t129]) ).
cnf(t48904,plain,
ifeq(member(not_subclass_element(X1,X2),X2),sF0,subclass(X1,X2),sF0) = true,
inference(step,[status(thm)],[t48903,t129]) ).
cnf(t48905,plain,
ifeq(member(not_subclass_element(X1,X2),X2),sF0,subclass(X1,X2),sF0) = sF0,
inference(step,[status(thm)],[t48904,t129]) ).
cnf(t414,plain,
ifeq(member(not_subclass_element(X1,X2),X2),sF0,subclass(X1,X2),sF0) = sF0,
inference(orient,[status(thm)],[t48905]) ).
cnf(f22,axiom,
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f22_nnf,plain,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(t73,plain,
ifeq(member(X1,X2),true,ifeq(member(X1,X3),true,member(X1,intersection(X2,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t49152,plain,
ifeq(member(X1,X2),sF0,ifeq(member(X1,X3),true,member(X1,intersection(X2,X3)),true),true) = true,
inference(step,[status(thm)],[t73,t129]) ).
cnf(t49153,plain,
ifeq(member(X1,X2),sF0,ifeq(member(X1,X3),sF0,member(X1,intersection(X2,X3)),true),true) = true,
inference(step,[status(thm)],[t49152,t129]) ).
cnf(t49154,plain,
ifeq(member(X1,X2),sF0,ifeq(member(X1,X3),sF0,member(X1,intersection(X2,X3)),sF0),true) = true,
inference(step,[status(thm)],[t49153,t129]) ).
cnf(t49155,plain,
ifeq(member(X1,X2),sF0,ifeq(member(X1,X3),sF0,member(X1,intersection(X2,X3)),sF0),sF0) = true,
inference(step,[status(thm)],[t49154,t129]) ).
cnf(t49156,plain,
ifeq(member(X1,X2),sF0,ifeq(member(X1,X3),sF0,member(X1,intersection(X2,X3)),sF0),sF0) = sF0,
inference(step,[status(thm)],[t49155,t129]) ).
cnf(t1108,plain,
ifeq(member(X1,X2),sF0,ifeq(member(X1,X3),sF0,member(X1,intersection(X2,X3)),sF0),sF0) = sF0,
inference(orient,[status(thm)],[t49156]) ).
cnf(t1112,plain,
sF0 = ifeq(member(X1,y),sF0,ifeq(member(X1,w),sF0,member(X1,sF3),sF0),sF0),
inference(cp,[status(thm)],[t1108,t152]) ).
cnf(t47640,plain,
ifeq(member(X1,y),sF0,ifeq(member(X1,w),sF0,member(X1,sF3),sF0),sF0) = sF0,
inference(orient,[status(thm)],[t1112]) ).
cnf(f0,axiom,
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f0_nnf,plain,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t67,plain,
ifeq(subclass(X1,X2),true,ifeq(member(X3,X1),true,member(X3,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t49074,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),true,member(X3,X2),true),true) = true,
inference(step,[status(thm)],[t67,t129]) ).
cnf(t49075,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),true),true) = true,
inference(step,[status(thm)],[t49074,t129]) ).
cnf(t49076,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),true) = true,
inference(step,[status(thm)],[t49075,t129]) ).
cnf(t49077,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),sF0) = true,
inference(step,[status(thm)],[t49076,t129]) ).
cnf(t49078,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),sF0) = sF0,
inference(step,[status(thm)],[t49077,t129]) ).
cnf(t785,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),sF0) = sF0,
inference(orient,[status(thm)],[t49078]) ).
cnf(t48784,plain,
subclass(x,y) = sF0,
inference(step,[status(thm)],[t127,t129]) ).
cnf(t145,plain,
subclass(x,y) = sF0,
inference(orient,[status(thm)],[t48784]) ).
cnf(t789,plain,
sF0 = ifeq(sF0,sF0,ifeq(member(X1,x),sF0,member(X1,y),sF0),sF0),
inference(cp,[status(thm)],[t785,t145]) ).
cnf(t13,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t155,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t13]) ).
cnf(t49161,plain,
sF0 = ifeq(member(X1,x),sF0,member(X1,y),sF0),
inference(step,[status(thm)],[t789,t155]) ).
cnf(t1264,plain,
ifeq(member(X1,x),sF0,member(X1,y),sF0) = sF0,
inference(orient,[status(thm)],[t49161]) ).
cnf(f20,axiom,
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f20_nnf,plain,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(t47,plain,
ifeq(member(X1,intersection(X2,X3)),true,member(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t48873,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),true) = true,
inference(step,[status(thm)],[t47,t129]) ).
cnf(t48874,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = true,
inference(step,[status(thm)],[t48873,t129]) ).
cnf(t48875,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = sF0,
inference(step,[status(thm)],[t48874,t129]) ).
cnf(t319,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = sF0,
inference(orient,[status(thm)],[t48875]) ).
cnf(t321,plain,
sF0 = ifeq(member(X1,sF2),sF0,member(X1,x),sF0),
inference(cp,[status(thm)],[t319,t151]) ).
cnf(t347,plain,
ifeq(member(X1,sF2),sF0,member(X1,x),sF0) = sF0,
inference(orient,[status(thm)],[t321]) ).
cnf(f1,axiom,
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f1_nnf,plain,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t42,plain,
or(member(not_subclass_element(X1,X2),X1),subclass(X1,X2)) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t48850,plain,
or(member(not_subclass_element(X1,X2),X1),subclass(X1,X2)) = sF0,
inference(step,[status(thm)],[t42,t129]) ).
cnf(t260,plain,
or(member(not_subclass_element(X1,X2),X1),subclass(X1,X2)) = sF0,
inference(orient,[status(thm)],[t48850]) ).
cnf(t48821,plain,
subclass(sF2,sF3) = sF4,
inference(step,[status(thm)],[t206,t211]) ).
cnf(t219,plain,
subclass(sF2,sF3) = sF4,
inference(orient,[status(thm)],[t48821]) ).
cnf(t261,plain,
sF0 = or(member(not_subclass_element(sF2,sF3),sF2),sF4),
inference(cp,[status(thm)],[t260,t219]) ).
cnf(t6,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t122,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t48817,plain,
or(X1,sF4) = X1,
inference(step,[status(thm)],[t122,t211]) ).
cnf(t213,plain,
or(X1,sF4) = X1,
inference(rw,[status(thm)],[t48817]) ).
cnf(t224,plain,
or(X1,sF4) = X1,
inference(orient,[status(thm)],[t213]) ).
cnf(t48851,plain,
sF0 = member(not_subclass_element(sF2,sF3),sF2),
inference(step,[status(thm)],[t261,t224]) ).
cnf(t262,plain,
member(not_subclass_element(sF2,sF3),sF2) = sF0,
inference(orient,[status(thm)],[t48851]) ).
cnf(t348,plain,
sF0 = ifeq(sF0,sF0,member(not_subclass_element(sF2,sF3),x),sF0),
inference(cp,[status(thm)],[t347,t262]) ).
cnf(t48879,plain,
sF0 = member(not_subclass_element(sF2,sF3),x),
inference(step,[status(thm)],[t348,t155]) ).
cnf(t349,plain,
member(not_subclass_element(sF2,sF3),x) = sF0,
inference(orient,[status(thm)],[t48879]) ).
cnf(t1265,plain,
sF0 = ifeq(sF0,sF0,member(not_subclass_element(sF2,sF3),y),sF0),
inference(cp,[status(thm)],[t1264,t349]) ).
cnf(t49162,plain,
sF0 = member(not_subclass_element(sF2,sF3),y),
inference(step,[status(thm)],[t1265,t155]) ).
cnf(t1266,plain,
member(not_subclass_element(sF2,sF3),y) = sF0,
inference(orient,[status(thm)],[t49162]) ).
cnf(t47641,plain,
sF0 = ifeq(sF0,sF0,ifeq(member(not_subclass_element(sF2,sF3),w),sF0,member(not_subclass_element(sF2,sF3),sF3),sF0),sF0),
inference(cp,[status(thm)],[t47640,t1266]) ).
cnf(t52712,plain,
sF0 = ifeq(member(not_subclass_element(sF2,sF3),w),sF0,member(not_subclass_element(sF2,sF3),sF3),sF0),
inference(step,[status(thm)],[t47641,t155]) ).
cnf(f113,negated_conjecture,
subclass(z,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_is_monotonic_2) ).
fof(f113_nnf,plain,
subclass(z,w),
inference(nnf_transformation,[status(thm)],[f113]) ).
cnf(c113,plain,
subclass(z,w),
inference(cnf_transformation,[status(esa)],[f113_nnf]) ).
cnf(t12,plain,
subclass(z,w) = true,
inference(equality_encoding,[status(esa)],[c113]) ).
cnf(t128,plain,
subclass(z,w) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t48786,plain,
subclass(z,w) = sF0,
inference(step,[status(thm)],[t128,t129]) ).
cnf(t147,plain,
subclass(z,w) = sF0,
inference(orient,[status(thm)],[t48786]) ).
cnf(t790,plain,
sF0 = ifeq(sF0,sF0,ifeq(member(X1,z),sF0,member(X1,w),sF0),sF0),
inference(cp,[status(thm)],[t785,t147]) ).
cnf(t49172,plain,
sF0 = ifeq(member(X1,z),sF0,member(X1,w),sF0),
inference(step,[status(thm)],[t790,t155]) ).
cnf(t1319,plain,
ifeq(member(X1,z),sF0,member(X1,w),sF0) = sF0,
inference(orient,[status(thm)],[t49172]) ).
cnf(f21,axiom,
( member(Z,Y)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f21_nnf,plain,
! [Z,X,Y] :
( member(Z,Y)
| ~ member(Z,intersection(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [Z,X,Y] :
( member(Z,Y)
| ~ member(Z,intersection(X,Y)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(t48,plain,
ifeq(member(X1,intersection(X2,X3)),true,member(X1,X3),true) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t48876,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),true) = true,
inference(step,[status(thm)],[t48,t129]) ).
cnf(t48877,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),sF0) = true,
inference(step,[status(thm)],[t48876,t129]) ).
cnf(t48878,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),sF0) = sF0,
inference(step,[status(thm)],[t48877,t129]) ).
cnf(t333,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),sF0) = sF0,
inference(orient,[status(thm)],[t48878]) ).
cnf(t335,plain,
sF0 = ifeq(member(X1,sF2),sF0,member(X1,z),sF0),
inference(cp,[status(thm)],[t333,t151]) ).
cnf(t362,plain,
ifeq(member(X1,sF2),sF0,member(X1,z),sF0) = sF0,
inference(orient,[status(thm)],[t335]) ).
cnf(t363,plain,
sF0 = ifeq(sF0,sF0,member(not_subclass_element(sF2,sF3),z),sF0),
inference(cp,[status(thm)],[t362,t262]) ).
cnf(t48886,plain,
sF0 = member(not_subclass_element(sF2,sF3),z),
inference(step,[status(thm)],[t363,t155]) ).
cnf(t367,plain,
member(not_subclass_element(sF2,sF3),z) = sF0,
inference(orient,[status(thm)],[t48886]) ).
cnf(t1320,plain,
sF0 = ifeq(sF0,sF0,member(not_subclass_element(sF2,sF3),w),sF0),
inference(cp,[status(thm)],[t1319,t367]) ).
cnf(t49173,plain,
sF0 = member(not_subclass_element(sF2,sF3),w),
inference(step,[status(thm)],[t1320,t155]) ).
cnf(t1321,plain,
member(not_subclass_element(sF2,sF3),w) = sF0,
inference(orient,[status(thm)],[t49173]) ).
cnf(t52713,plain,
sF0 = ifeq(sF0,sF0,member(not_subclass_element(sF2,sF3),sF3),sF0),
inference(step,[status(thm)],[t52712,t1321]) ).
cnf(t52714,plain,
sF0 = member(not_subclass_element(sF2,sF3),sF3),
inference(step,[status(thm)],[t52713,t155]) ).
cnf(t47642,plain,
member(not_subclass_element(sF2,sF3),sF3) = sF0,
inference(orient,[status(thm)],[t52714]) ).
cnf(t47646,plain,
sF0 = ifeq(sF0,sF0,subclass(sF2,sF3),sF0),
inference(cp,[status(thm)],[t414,t47642]) ).
cnf(t52715,plain,
sF0 = subclass(sF2,sF3),
inference(step,[status(thm)],[t47646,t155]) ).
cnf(t52716,plain,
sF0 = sF4,
inference(step,[status(thm)],[t52715,t219]) ).
cnf(t47659,plain,
sF4 = sF0,
inference(orient,[status(thm)],[t52716]) ).
cnf(t52721,plain,
false = sF0,
inference(step,[status(thm)],[t211,t47659]) ).
cnf(t47664,plain,
false = sF0,
inference(orient,[status(thm)],[t52721]) ).
cnf(f23,axiom,
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f23_nnf,plain,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(f29,axiom,
( ~ member(Z,domain_of(X))
| restrict(X,singleton(Z),universal_class) != null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f29_nnf,plain,
! [X,Z] :
( ~ member(Z,domain_of(X))
| restrict(X,singleton(Z),universal_class) != null_class ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X,Z] :
( ~ member(Z,domain_of(X))
| restrict(X,singleton(Z),universal_class) != null_class ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ member(X1,domain_of(X0))
| restrict(X0,singleton(X1),universal_class) != null_class ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c23,c29,c114]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t129]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t47664]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET201-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 10:17:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 250.40/32.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 250.40/32.86 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------