%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET138-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 02:42:34 PM UTC 2026
% Result : Unsatisfiable 19.28s 12.93s
% Output : Proof 19.28s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t93,axiom,
sF0 = member(u,universal_class),
introduced(definition) ).
cnf(f92,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge2_1) ).
fof(f92_nnf,plain,
member(u,universal_class),
inference(nnf_transformation,[status(thm)],[f92]) ).
cnf(c92,plain,
member(u,universal_class),
inference(cnf_transformation,[status(esa)],[f92_nnf]) ).
cnf(t6,plain,
member(u,universal_class) = true,
inference(equality_encoding,[status(esa)],[c92]) ).
cnf(t120,plain,
member(u,universal_class) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t3529,plain,
sF0 = true,
inference(step,[status(thm)],[t93,t120]) ).
cnf(t128,plain,
true = sF0,
inference(orient,[status(thm)],[t3529]) ).
cnf(f20,axiom,
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/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(t40,plain,
ifeq(member(X1,intersection(X2,X3)),true,member(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t3631,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),true) = true,
inference(step,[status(thm)],[t40,t128]) ).
cnf(t3632,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = true,
inference(step,[status(thm)],[t3631,t128]) ).
cnf(t3633,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = sF0,
inference(step,[status(thm)],[t3632,t128]) ).
cnf(t284,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = sF0,
inference(orient,[status(thm)],[t3633]) ).
cnf(f24,axiom,
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
file('/export/starexec/sandbox/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(t51,plain,
ifeq(member(X1,universal_class),true,or(member(X1,complement(X2)),member(X1,X2)),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t3758,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),true) = true,
inference(step,[status(thm)],[t51,t128]) ).
cnf(t3759,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = true,
inference(step,[status(thm)],[t3758,t128]) ).
cnf(t3760,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = sF0,
inference(step,[status(thm)],[t3759,t128]) ).
cnf(t685,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = sF0,
inference(orient,[status(thm)],[t3760]) ).
cnf(f95,negated_conjecture,
~ member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_triple_kludge2_4) ).
fof(f95_nnf,plain,
~ member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))),
inference(nnf_transformation,[status(thm)],[f95]) ).
fof(f95_sk,plain,
~ member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))),
inference(skolemisation,[status(esa)],[f95_nnf]) ).
cnf(c95,plain,
~ member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(u50,axiom,
member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))) = false,
inference(equality_encoding,[status(esa)],[c95]) ).
cnf(f91,axiom,
union(singleton(X),Y) = set_builder(X,Y),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(t77,plain,
member(u,complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))))) = false,
inference(definition_unfolding,[status(thm)],[u50,d15]) ).
cnf(t96,axiom,
sF3 = unordered_pair(u,u),
introduced(definition) ).
cnf(t153,plain,
unordered_pair(u,u) = sF3,
inference(orient,[status(thm)],[t96]) ).
cnf(t4105,plain,
member(u,complement(intersection(complement(sF3),complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t77,t153]) ).
cnf(t97,axiom,
sF4 = complement(unordered_pair(u,u)),
introduced(definition) ).
cnf(t3553,plain,
sF4 = complement(sF3),
inference(step,[status(thm)],[t97,t153]) ).
cnf(t159,plain,
complement(sF3) = sF4,
inference(orient,[status(thm)],[t3553]) ).
cnf(t4106,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(complement(unordered_pair(v,v)),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t4105,t159]) ).
cnf(t98,axiom,
sF5 = unordered_pair(v,v),
introduced(definition) ).
cnf(t154,plain,
unordered_pair(v,v) = sF5,
inference(orient,[status(thm)],[t98]) ).
cnf(t4107,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(complement(sF5),complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t4106,t154]) ).
cnf(t99,axiom,
sF6 = complement(unordered_pair(v,v)),
introduced(definition) ).
cnf(t3554,plain,
sF6 = complement(sF5),
inference(step,[status(thm)],[t99,t154]) ).
cnf(t160,plain,
complement(sF5) = sF6,
inference(orient,[status(thm)],[t3554]) ).
cnf(t4108,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t4107,t160]) ).
cnf(t100,axiom,
sF7 = unordered_pair(w,w),
introduced(definition) ).
cnf(t156,plain,
unordered_pair(w,w) = sF7,
inference(orient,[status(thm)],[t100]) ).
cnf(t4109,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,complement(complement(intersection(complement(sF7),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t4108,t156]) ).
cnf(t101,axiom,
sF8 = complement(unordered_pair(w,w)),
introduced(definition) ).
cnf(t3555,plain,
sF8 = complement(sF7),
inference(step,[status(thm)],[t101,t156]) ).
cnf(t161,plain,
complement(sF7) = sF8,
inference(orient,[status(thm)],[t3555]) ).
cnf(t4110,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,complement(complement(intersection(sF8,complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t4109,t161]) ).
cnf(t102,axiom,
sF9 = complement(null_class),
introduced(definition) ).
cnf(t117,plain,
complement(null_class) = sF9,
inference(orient,[status(thm)],[t102]) ).
cnf(t4111,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,complement(complement(intersection(sF8,sF9))))))))) = false,
inference(step,[status(thm)],[t4110,t117]) ).
cnf(t103,axiom,
sF10 = intersection(complement(unordered_pair(w,w)),complement(null_class)),
introduced(definition) ).
cnf(t3572,plain,
sF10 = intersection(complement(sF7),complement(null_class)),
inference(step,[status(thm)],[t103,t156]) ).
cnf(t3573,plain,
sF10 = intersection(sF8,complement(null_class)),
inference(step,[status(thm)],[t3572,t161]) ).
cnf(t3574,plain,
sF10 = intersection(sF8,sF9),
inference(step,[status(thm)],[t3573,t117]) ).
cnf(t197,plain,
intersection(sF8,sF9) = sF10,
inference(orient,[status(thm)],[t3574]) ).
cnf(t4112,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,complement(complement(sF10)))))))) = false,
inference(step,[status(thm)],[t4111,t197]) ).
cnf(t104,axiom,
sF11 = complement(intersection(complement(unordered_pair(w,w)),complement(null_class))),
introduced(definition) ).
cnf(t3585,plain,
sF11 = complement(intersection(complement(sF7),complement(null_class))),
inference(step,[status(thm)],[t104,t156]) ).
cnf(t3586,plain,
sF11 = complement(intersection(sF8,complement(null_class))),
inference(step,[status(thm)],[t3585,t161]) ).
cnf(t3587,plain,
sF11 = complement(intersection(sF8,sF9)),
inference(step,[status(thm)],[t3586,t117]) ).
cnf(t3588,plain,
sF11 = complement(sF10),
inference(step,[status(thm)],[t3587,t197]) ).
cnf(t215,plain,
complement(sF10) = sF11,
inference(orient,[status(thm)],[t3588]) ).
cnf(t4113,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,complement(sF11))))))) = false,
inference(step,[status(thm)],[t4112,t215]) ).
cnf(t105,axiom,
sF12 = complement(complement(intersection(complement(unordered_pair(w,w)),complement(null_class)))),
introduced(definition) ).
cnf(t3599,plain,
sF12 = complement(complement(intersection(complement(sF7),complement(null_class)))),
inference(step,[status(thm)],[t105,t156]) ).
cnf(t3600,plain,
sF12 = complement(complement(intersection(sF8,complement(null_class)))),
inference(step,[status(thm)],[t3599,t161]) ).
cnf(t3601,plain,
sF12 = complement(complement(intersection(sF8,sF9))),
inference(step,[status(thm)],[t3600,t117]) ).
cnf(t3602,plain,
sF12 = complement(complement(sF10)),
inference(step,[status(thm)],[t3601,t197]) ).
cnf(t3603,plain,
sF12 = complement(sF11),
inference(step,[status(thm)],[t3602,t215]) ).
cnf(t223,plain,
complement(sF11) = sF12,
inference(orient,[status(thm)],[t3603]) ).
cnf(t4114,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,sF12)))))) = false,
inference(step,[status(thm)],[t4113,t223]) ).
cnf(t2262,plain,
member(u,complement(intersection(sF4,complement(complement(intersection(sF6,sF12)))))) = false,
inference(orient,[status(thm)],[t4114]) ).
cnf(t2265,plain,
sF0 = ifeq(member(u,universal_class),sF0,or(false,member(u,intersection(sF4,complement(complement(intersection(sF6,sF12)))))),sF0),
inference(cp,[status(thm)],[t685,t2262]) ).
cnf(t3541,plain,
member(u,universal_class) = sF0,
inference(step,[status(thm)],[t120,t128]) ).
cnf(t140,plain,
member(u,universal_class) = sF0,
inference(orient,[status(thm)],[t3541]) ).
cnf(t4280,plain,
sF0 = ifeq(sF0,sF0,or(false,member(u,intersection(sF4,complement(complement(intersection(sF6,sF12)))))),sF0),
inference(step,[status(thm)],[t2265,t140]) ).
cnf(t14,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t155,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t14]) ).
cnf(t4281,plain,
sF0 = or(false,member(u,intersection(sF4,complement(complement(intersection(sF6,sF12)))))),
inference(step,[status(thm)],[t4280,t155]) ).
cnf(t11,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t125,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t4282,plain,
sF0 = member(u,intersection(sF4,complement(complement(intersection(sF6,sF12))))),
inference(step,[status(thm)],[t4281,t125]) ).
cnf(t3350,plain,
member(u,intersection(sF4,complement(complement(intersection(sF6,sF12))))) = sF0,
inference(orient,[status(thm)],[t4282]) ).
cnf(t3351,plain,
sF0 = ifeq(sF0,sF0,member(u,sF4),sF0),
inference(cp,[status(thm)],[t284,t3350]) ).
cnf(t4283,plain,
sF0 = member(u,sF4),
inference(step,[status(thm)],[t3351,t155]) ).
cnf(t18,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t3559,plain,
ifeq(not(X1),sF0,X1,false) = false,
inference(step,[status(thm)],[t18,t128]) ).
cnf(t171,plain,
ifeq(not(X1),sF0,X1,false) = false,
inference(orient,[status(thm)],[t3559]) ).
cnf(f23,axiom,
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox/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(t38,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t3609,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(step,[status(thm)],[t38,t128]) ).
cnf(t243,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(orient,[status(thm)],[t3609]) ).
cnf(f8,axiom,
( member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f8_nnf,plain,
! [X,Y] :
( member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Y] :
( member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(t42,plain,
ifeq(member(X1,universal_class),true,member(X1,unordered_pair(X1,X2)),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t3646,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),true) = true,
inference(step,[status(thm)],[t42,t128]) ).
cnf(t3647,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),sF0) = true,
inference(step,[status(thm)],[t3646,t128]) ).
cnf(t3648,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),sF0) = sF0,
inference(step,[status(thm)],[t3647,t128]) ).
cnf(t350,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),sF0) = sF0,
inference(orient,[status(thm)],[t3648]) ).
cnf(t355,plain,
sF0 = ifeq(member(u,universal_class),sF0,member(u,sF3),sF0),
inference(cp,[status(thm)],[t350,t153]) ).
cnf(t3649,plain,
sF0 = ifeq(sF0,sF0,member(u,sF3),sF0),
inference(step,[status(thm)],[t355,t140]) ).
cnf(t3650,plain,
sF0 = member(u,sF3),
inference(step,[status(thm)],[t3649,t155]) ).
cnf(t362,plain,
member(u,sF3) = sF0,
inference(orient,[status(thm)],[t3650]) ).
cnf(t363,plain,
sF0 = or(not(member(u,complement(sF3))),not(sF0)),
inference(cp,[status(thm)],[t243,t362]) ).
cnf(t3655,plain,
sF0 = or(not(member(u,sF4)),not(sF0)),
inference(step,[status(thm)],[t363,t159]) ).
cnf(t3,plain,
not(true) = false,
introduced(definition) ).
cnf(t116,plain,
not(true) = false,
inference(orient,[status(thm)],[t3]) ).
cnf(t3536,plain,
not(sF0) = false,
inference(step,[status(thm)],[t116,t128]) ).
cnf(t135,plain,
not(sF0) = false,
inference(rw,[status(thm)],[t3536]) ).
cnf(t150,plain,
not(sF0) = false,
inference(orient,[status(thm)],[t135]) ).
cnf(t3656,plain,
sF0 = or(not(member(u,sF4)),false),
inference(step,[status(thm)],[t3655,t150]) ).
cnf(t9,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t123,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t3657,plain,
sF0 = not(member(u,sF4)),
inference(step,[status(thm)],[t3656,t123]) ).
cnf(t374,plain,
not(member(u,sF4)) = sF0,
inference(orient,[status(thm)],[t3657]) ).
cnf(t375,plain,
false = ifeq(sF0,sF0,member(u,sF4),false),
inference(cp,[status(thm)],[t171,t374]) ).
cnf(t3658,plain,
false = member(u,sF4),
inference(step,[status(thm)],[t375,t155]) ).
cnf(t376,plain,
member(u,sF4) = false,
inference(orient,[status(thm)],[t3658]) ).
cnf(t4284,plain,
sF0 = false,
inference(step,[status(thm)],[t4283,t376]) ).
cnf(t3360,plain,
false = sF0,
inference(orient,[status(thm)],[t4284]) ).
cnf(f29,axiom,
( ~ member(Z,domain_of(X))
| restrict(X,singleton(Z),universal_class) != null_class ),
file('/export/starexec/sandbox/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,c95]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t128]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t3360]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET138-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/10.39 % Computer : n014.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Thu Sep 24 09:59:59 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.28/12.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.28/12.93 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------