%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET125-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 02:42:28 PM UTC 2026
% Result : Unsatisfiable 7.05s 1.39s
% Output : Proof 7.05s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t91,axiom,
sF0 = member(x,z),
introduced(definition) ).
cnf(f92,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn3_1) ).
fof(f92_nnf,plain,
member(x,z),
inference(nnf_transformation,[status(thm)],[f92]) ).
cnf(c92,plain,
member(x,z),
inference(cnf_transformation,[status(esa)],[f92_nnf]) ).
cnf(t6,plain,
member(x,z) = true,
inference(equality_encoding,[status(esa)],[c92]) ).
cnf(t106,plain,
member(x,z) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t1442,plain,
sF0 = true,
inference(step,[status(thm)],[t91,t106]) ).
cnf(t112,plain,
true = sF0,
inference(orient,[status(thm)],[t1442]) ).
cnf(t97,axiom,
sF6 = member(x,complement(intersection(complement(unordered_pair(y,y)),complement(z)))),
introduced(definition) ).
cnf(t92,axiom,
sF1 = unordered_pair(y,y),
introduced(definition) ).
cnf(t131,plain,
unordered_pair(y,y) = sF1,
inference(orient,[status(thm)],[t92]) ).
cnf(t1540,plain,
sF6 = member(x,complement(intersection(complement(sF1),complement(z)))),
inference(step,[status(thm)],[t97,t131]) ).
cnf(t93,axiom,
sF2 = complement(unordered_pair(y,y)),
introduced(definition) ).
cnf(t1460,plain,
sF2 = complement(sF1),
inference(step,[status(thm)],[t93,t131]) ).
cnf(t134,plain,
complement(sF1) = sF2,
inference(orient,[status(thm)],[t1460]) ).
cnf(t1541,plain,
sF6 = member(x,complement(intersection(sF2,complement(z)))),
inference(step,[status(thm)],[t1540,t134]) ).
cnf(t94,axiom,
sF3 = complement(z),
introduced(definition) ).
cnf(t103,plain,
complement(z) = sF3,
inference(orient,[status(thm)],[t94]) ).
cnf(t1542,plain,
sF6 = member(x,complement(intersection(sF2,sF3))),
inference(step,[status(thm)],[t1541,t103]) ).
cnf(t95,axiom,
sF4 = intersection(complement(unordered_pair(y,y)),complement(z)),
introduced(definition) ).
cnf(t1477,plain,
sF4 = intersection(complement(sF1),complement(z)),
inference(step,[status(thm)],[t95,t131]) ).
cnf(t1478,plain,
sF4 = intersection(sF2,complement(z)),
inference(step,[status(thm)],[t1477,t134]) ).
cnf(t1479,plain,
sF4 = intersection(sF2,sF3),
inference(step,[status(thm)],[t1478,t103]) ).
cnf(t167,plain,
intersection(sF2,sF3) = sF4,
inference(orient,[status(thm)],[t1479]) ).
cnf(t1543,plain,
sF6 = member(x,complement(sF4)),
inference(step,[status(thm)],[t1542,t167]) ).
cnf(t96,axiom,
sF5 = complement(intersection(complement(unordered_pair(y,y)),complement(z))),
introduced(definition) ).
cnf(t1490,plain,
sF5 = complement(intersection(complement(sF1),complement(z))),
inference(step,[status(thm)],[t96,t131]) ).
cnf(t1491,plain,
sF5 = complement(intersection(sF2,complement(z))),
inference(step,[status(thm)],[t1490,t134]) ).
cnf(t1492,plain,
sF5 = complement(intersection(sF2,sF3)),
inference(step,[status(thm)],[t1491,t103]) ).
cnf(t1493,plain,
sF5 = complement(sF4),
inference(step,[status(thm)],[t1492,t167]) ).
cnf(t185,plain,
complement(sF4) = sF5,
inference(orient,[status(thm)],[t1493]) ).
cnf(t1544,plain,
sF6 = member(x,sF5),
inference(step,[status(thm)],[t1543,t185]) ).
cnf(f93,negated_conjecture,
~ member(x,set_builder(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn3_2) ).
fof(f93_nnf,plain,
~ member(x,set_builder(y,z)),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
~ member(x,set_builder(y,z)),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
~ member(x,set_builder(y,z)),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(u50,axiom,
member(x,set_builder(y,z)) = false,
inference(equality_encoding,[status(esa)],[c93]) ).
cnf(f91,axiom,
union(singleton(X),Y) = set_builder(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f91_nnf,plain,
! [X,Y] : union(singleton(X),Y) = set_builder(X,Y),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
! [X,Y] : union(singleton(X),Y) = set_builder(X,Y),
inference(skolemisation,[status(esa)],[f91_nnf]) ).
cnf(c91,plain,
union(singleton(X0),X1) = set_builder(X0,X1),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(u8,axiom,
union(singleton(X0),X1) = set_builder(X0,X1),
inference(equality_encoding,[status(esa)],[c91]) ).
cnf(f11,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f11_nnf,plain,
! [X] : unordered_pair(X,X) = singleton(X),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] : unordered_pair(X,X) = singleton(X),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(d0,axiom,
unordered_pair(X0,X0) = singleton(X0),
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(f25,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f25_nnf,plain,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(d2,axiom,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(d15,axiom,
complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))) = set_builder(X0,X1),
inference(definition_unfolding,[status(thm)],[u8,d0,d2]) ).
cnf(t35,plain,
member(x,complement(intersection(complement(unordered_pair(y,y)),complement(z)))) = false,
inference(definition_unfolding,[status(thm)],[u50,d15]) ).
cnf(t1508,plain,
member(x,complement(intersection(complement(sF1),complement(z)))) = false,
inference(step,[status(thm)],[t35,t131]) ).
cnf(t1509,plain,
member(x,complement(intersection(sF2,complement(z)))) = false,
inference(step,[status(thm)],[t1508,t134]) ).
cnf(t1510,plain,
member(x,complement(intersection(sF2,sF3))) = false,
inference(step,[status(thm)],[t1509,t103]) ).
cnf(t1511,plain,
member(x,complement(sF4)) = false,
inference(step,[status(thm)],[t1510,t167]) ).
cnf(t1512,plain,
member(x,sF5) = false,
inference(step,[status(thm)],[t1511,t185]) ).
cnf(t208,plain,
member(x,sF5) = false,
inference(orient,[status(thm)],[t1512]) ).
cnf(t1545,plain,
sF6 = false,
inference(step,[status(thm)],[t1544,t208]) ).
cnf(t294,plain,
false = sF6,
inference(orient,[status(thm)],[t1545]) ).
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(t40,plain,
ifeq(member(X1,intersection(X2,X3)),true,member(X1,X3),true) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t1537,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),true) = true,
inference(step,[status(thm)],[t40,t112]) ).
cnf(t1538,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),sF0) = true,
inference(step,[status(thm)],[t1537,t112]) ).
cnf(t1539,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),sF0) = sF0,
inference(step,[status(thm)],[t1538,t112]) ).
cnf(t270,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X3),sF0) = sF0,
inference(orient,[status(thm)],[t1539]) ).
cnf(t276,plain,
sF0 = ifeq(member(X1,sF4),sF0,member(X1,sF3),sF0),
inference(cp,[status(thm)],[t270,t167]) ).
cnf(t288,plain,
ifeq(member(X1,sF4),sF0,member(X1,sF3),sF0) = sF0,
inference(orient,[status(thm)],[t276]) ).
cnf(f24,axiom,
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f24_nnf,plain,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(t50,plain,
ifeq(member(X1,universal_class),true,or(member(X1,complement(X2)),member(X1,X2)),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t1651,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),true) = true,
inference(step,[status(thm)],[t50,t112]) ).
cnf(t1652,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = true,
inference(step,[status(thm)],[t1651,t112]) ).
cnf(t1653,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = sF0,
inference(step,[status(thm)],[t1652,t112]) ).
cnf(t550,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = sF0,
inference(orient,[status(thm)],[t1653]) ).
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(t58,plain,
ifeq(subclass(X1,X2),true,ifeq(member(X3,X1),true,member(X3,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t1772,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),true,member(X3,X2),true),true) = true,
inference(step,[status(thm)],[t58,t112]) ).
cnf(t1773,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),true),true) = true,
inference(step,[status(thm)],[t1772,t112]) ).
cnf(t1774,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),true) = true,
inference(step,[status(thm)],[t1773,t112]) ).
cnf(t1775,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),sF0) = true,
inference(step,[status(thm)],[t1774,t112]) ).
cnf(t1776,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),sF0) = sF0,
inference(step,[status(thm)],[t1775,t112]) ).
cnf(t806,plain,
ifeq(subclass(X1,X2),sF0,ifeq(member(X3,X1),sF0,member(X3,X2),sF0),sF0) = sF0,
inference(orient,[status(thm)],[t1776]) ).
cnf(t1454,plain,
member(x,z) = sF0,
inference(step,[status(thm)],[t106,t112]) ).
cnf(t124,plain,
member(x,z) = sF0,
inference(orient,[status(thm)],[t1454]) ).
cnf(t809,plain,
sF0 = ifeq(subclass(z,X1),sF0,ifeq(sF0,sF0,member(x,X1),sF0),sF0),
inference(cp,[status(thm)],[t806,t124]) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t135,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(t1811,plain,
sF0 = ifeq(subclass(z,X1),sF0,member(x,X1),sF0),
inference(step,[status(thm)],[t809,t135]) ).
cnf(t993,plain,
ifeq(subclass(z,X1),sF0,member(x,X1),sF0) = sF0,
inference(orient,[status(thm)],[t1811]) ).
cnf(f3,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f3_nnf,plain,
! [X] : subclass(X,universal_class),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] : subclass(X,universal_class),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t11,plain,
subclass(X1,universal_class) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t111,plain,
subclass(X1,universal_class) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(t1456,plain,
subclass(X1,universal_class) = sF0,
inference(step,[status(thm)],[t111,t112]) ).
cnf(t128,plain,
subclass(X1,universal_class) = sF0,
inference(orient,[status(thm)],[t1456]) ).
cnf(t994,plain,
sF0 = ifeq(sF0,sF0,member(x,universal_class),sF0),
inference(cp,[status(thm)],[t993,t128]) ).
cnf(t1812,plain,
sF0 = member(x,universal_class),
inference(step,[status(thm)],[t994,t135]) ).
cnf(t997,plain,
member(x,universal_class) = sF0,
inference(orient,[status(thm)],[t1812]) ).
cnf(t1008,plain,
sF0 = ifeq(sF0,sF0,or(member(x,complement(X1)),member(x,X1)),sF0),
inference(cp,[status(thm)],[t550,t997]) ).
cnf(t1873,plain,
sF0 = or(member(x,complement(X1)),member(x,X1)),
inference(step,[status(thm)],[t1008,t135]) ).
cnf(t1343,plain,
or(member(x,complement(X1)),member(x,X1)) = sF0,
inference(orient,[status(thm)],[t1873]) ).
cnf(t1345,plain,
sF0 = or(member(x,sF5),member(x,sF4)),
inference(cp,[status(thm)],[t1343,t185]) ).
cnf(t1551,plain,
member(x,sF5) = sF6,
inference(step,[status(thm)],[t208,t294]) ).
cnf(t302,plain,
member(x,sF5) = sF6,
inference(orient,[status(thm)],[t1551]) ).
cnf(t1874,plain,
sF0 = or(sF6,member(x,sF4)),
inference(step,[status(thm)],[t1345,t302]) ).
cnf(t9,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t109,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t1548,plain,
or(sF6,X1) = X1,
inference(step,[status(thm)],[t109,t294]) ).
cnf(t297,plain,
or(sF6,X1) = X1,
inference(rw,[status(thm)],[t1548]) ).
cnf(t327,plain,
or(sF6,X1) = X1,
inference(orient,[status(thm)],[t297]) ).
cnf(t1875,plain,
sF0 = member(x,sF4),
inference(step,[status(thm)],[t1874,t327]) ).
cnf(t1346,plain,
member(x,sF4) = sF0,
inference(orient,[status(thm)],[t1875]) ).
cnf(t1349,plain,
sF0 = ifeq(sF0,sF0,member(x,sF3),sF0),
inference(cp,[status(thm)],[t288,t1346]) ).
cnf(t1876,plain,
sF0 = member(x,sF3),
inference(step,[status(thm)],[t1349,t135]) ).
cnf(t16,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t1464,plain,
ifeq(not(X1),sF0,X1,false) = false,
inference(step,[status(thm)],[t16,t112]) ).
cnf(t141,plain,
ifeq(not(X1),sF0,X1,false) = false,
inference(orient,[status(thm)],[t1464]) ).
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(t37,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t1514,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(step,[status(thm)],[t37,t112]) ).
cnf(t213,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(orient,[status(thm)],[t1514]) ).
cnf(t216,plain,
sF0 = or(not(member(x,complement(z))),not(sF0)),
inference(cp,[status(thm)],[t213,t124]) ).
cnf(t1515,plain,
sF0 = or(not(member(x,sF3)),not(sF0)),
inference(step,[status(thm)],[t216,t103]) ).
cnf(t3,plain,
not(true) = false,
introduced(definition) ).
cnf(t102,plain,
not(true) = false,
inference(orient,[status(thm)],[t3]) ).
cnf(t1449,plain,
not(sF0) = false,
inference(step,[status(thm)],[t102,t112]) ).
cnf(t119,plain,
not(sF0) = false,
inference(rw,[status(thm)],[t1449]) ).
cnf(t130,plain,
not(sF0) = false,
inference(orient,[status(thm)],[t119]) ).
cnf(t1516,plain,
sF0 = or(not(member(x,sF3)),false),
inference(step,[status(thm)],[t1515,t130]) ).
cnf(t7,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t107,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t1517,plain,
sF0 = not(member(x,sF3)),
inference(step,[status(thm)],[t1516,t107]) ).
cnf(t222,plain,
not(member(x,sF3)) = sF0,
inference(orient,[status(thm)],[t1517]) ).
cnf(t223,plain,
false = ifeq(sF0,sF0,member(x,sF3),false),
inference(cp,[status(thm)],[t141,t222]) ).
cnf(t1518,plain,
false = member(x,sF3),
inference(step,[status(thm)],[t223,t135]) ).
cnf(t224,plain,
member(x,sF3) = false,
inference(orient,[status(thm)],[t1518]) ).
cnf(t1553,plain,
member(x,sF3) = sF6,
inference(step,[status(thm)],[t224,t294]) ).
cnf(t304,plain,
member(x,sF3) = sF6,
inference(orient,[status(thm)],[t1553]) ).
cnf(t1877,plain,
sF0 = sF6,
inference(step,[status(thm)],[t1876,t304]) ).
cnf(t1354,plain,
sF6 = sF0,
inference(orient,[status(thm)],[t1877]) ).
cnf(t1892,plain,
false = sF0,
inference(step,[status(thm)],[t294,t1354]) ).
cnf(t1369,plain,
false = sF0,
inference(orient,[status(thm)],[t1892]) ).
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,c93]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t112]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t1369]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET125-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 09:57:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.05/1.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.05/1.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------