%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET130-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 02:42:30 PM UTC 2026
% Result : Unsatisfiable 14.52s 2.35s
% Output : Proof 14.52s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t91,axiom,
sF0 = member(u,universal_class),
introduced(definition) ).
cnf(f92,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_triple1_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(t116,plain,
member(u,universal_class) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t2628,plain,
sF0 = true,
inference(step,[status(thm)],[t91,t116]) ).
cnf(t122,plain,
true = sF0,
inference(orient,[status(thm)],[t2628]) ).
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(t38,plain,
ifeq(member(X1,intersection(X2,X3)),true,member(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t2717,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),true) = true,
inference(step,[status(thm)],[t38,t122]) ).
cnf(t2718,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = true,
inference(step,[status(thm)],[t2717,t122]) ).
cnf(t2719,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = sF0,
inference(step,[status(thm)],[t2718,t122]) ).
cnf(t260,plain,
ifeq(member(X1,intersection(X2,X3)),sF0,member(X1,X2),sF0) = sF0,
inference(orient,[status(thm)],[t2719]) ).
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(t49,plain,
ifeq(member(X1,universal_class),true,or(member(X1,complement(X2)),member(X1,X2)),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t2817,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),true) = true,
inference(step,[status(thm)],[t49,t122]) ).
cnf(t2818,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = true,
inference(step,[status(thm)],[t2817,t122]) ).
cnf(t2819,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = sF0,
inference(step,[status(thm)],[t2818,t122]) ).
cnf(t613,plain,
ifeq(member(X1,universal_class),sF0,or(member(X1,complement(X2)),member(X1,X2)),sF0) = sF0,
inference(orient,[status(thm)],[t2819]) ).
cnf(f93,negated_conjecture,
~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_triple1_2) ).
fof(f93_nnf,plain,
~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(u50,axiom,
member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))) = 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(t75,plain,
member(u,complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))) = false,
inference(definition_unfolding,[status(thm)],[u50,d15]) ).
cnf(t92,axiom,
sF1 = unordered_pair(u,u),
introduced(definition) ).
cnf(t141,plain,
unordered_pair(u,u) = sF1,
inference(orient,[status(thm)],[t92]) ).
cnf(t3177,plain,
member(u,complement(intersection(complement(sF1),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t75,t141]) ).
cnf(t93,axiom,
sF2 = complement(unordered_pair(u,u)),
introduced(definition) ).
cnf(t2646,plain,
sF2 = complement(sF1),
inference(step,[status(thm)],[t93,t141]) ).
cnf(t146,plain,
complement(sF1) = sF2,
inference(orient,[status(thm)],[t2646]) ).
cnf(t3178,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t3177,t146]) ).
cnf(t94,axiom,
sF3 = unordered_pair(y,y),
introduced(definition) ).
cnf(t142,plain,
unordered_pair(y,y) = sF3,
inference(orient,[status(thm)],[t94]) ).
cnf(t3179,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(complement(sF3),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t3178,t142]) ).
cnf(t95,axiom,
sF4 = complement(unordered_pair(y,y)),
introduced(definition) ).
cnf(t2647,plain,
sF4 = complement(sF3),
inference(step,[status(thm)],[t95,t142]) ).
cnf(t148,plain,
complement(sF3) = sF4,
inference(orient,[status(thm)],[t2647]) ).
cnf(t3180,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t3179,t148]) ).
cnf(t96,axiom,
sF5 = unordered_pair(z,z),
introduced(definition) ).
cnf(t143,plain,
unordered_pair(z,z) = sF5,
inference(orient,[status(thm)],[t96]) ).
cnf(t3181,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,complement(complement(intersection(complement(sF5),complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t3180,t143]) ).
cnf(t97,axiom,
sF6 = complement(unordered_pair(z,z)),
introduced(definition) ).
cnf(t2648,plain,
sF6 = complement(sF5),
inference(step,[status(thm)],[t97,t143]) ).
cnf(t149,plain,
complement(sF5) = sF6,
inference(orient,[status(thm)],[t2648]) ).
cnf(t3182,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,complement(complement(intersection(sF6,complement(null_class)))))))))) = false,
inference(step,[status(thm)],[t3181,t149]) ).
cnf(t98,axiom,
sF7 = complement(null_class),
introduced(definition) ).
cnf(t113,plain,
complement(null_class) = sF7,
inference(orient,[status(thm)],[t98]) ).
cnf(t3183,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,complement(complement(intersection(sF6,sF7))))))))) = false,
inference(step,[status(thm)],[t3182,t113]) ).
cnf(t99,axiom,
sF8 = intersection(complement(unordered_pair(z,z)),complement(null_class)),
introduced(definition) ).
cnf(t2665,plain,
sF8 = intersection(complement(sF5),complement(null_class)),
inference(step,[status(thm)],[t99,t143]) ).
cnf(t2666,plain,
sF8 = intersection(sF6,complement(null_class)),
inference(step,[status(thm)],[t2665,t149]) ).
cnf(t2667,plain,
sF8 = intersection(sF6,sF7),
inference(step,[status(thm)],[t2666,t113]) ).
cnf(t185,plain,
intersection(sF6,sF7) = sF8,
inference(orient,[status(thm)],[t2667]) ).
cnf(t3184,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,complement(complement(sF8)))))))) = false,
inference(step,[status(thm)],[t3183,t185]) ).
cnf(t100,axiom,
sF9 = complement(intersection(complement(unordered_pair(z,z)),complement(null_class))),
introduced(definition) ).
cnf(t2678,plain,
sF9 = complement(intersection(complement(sF5),complement(null_class))),
inference(step,[status(thm)],[t100,t143]) ).
cnf(t2679,plain,
sF9 = complement(intersection(sF6,complement(null_class))),
inference(step,[status(thm)],[t2678,t149]) ).
cnf(t2680,plain,
sF9 = complement(intersection(sF6,sF7)),
inference(step,[status(thm)],[t2679,t113]) ).
cnf(t2681,plain,
sF9 = complement(sF8),
inference(step,[status(thm)],[t2680,t185]) ).
cnf(t203,plain,
complement(sF8) = sF9,
inference(orient,[status(thm)],[t2681]) ).
cnf(t3185,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,complement(sF9))))))) = false,
inference(step,[status(thm)],[t3184,t203]) ).
cnf(t101,axiom,
sF10 = complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))),
introduced(definition) ).
cnf(t2692,plain,
sF10 = complement(complement(intersection(complement(sF5),complement(null_class)))),
inference(step,[status(thm)],[t101,t143]) ).
cnf(t2693,plain,
sF10 = complement(complement(intersection(sF6,complement(null_class)))),
inference(step,[status(thm)],[t2692,t149]) ).
cnf(t2694,plain,
sF10 = complement(complement(intersection(sF6,sF7))),
inference(step,[status(thm)],[t2693,t113]) ).
cnf(t2695,plain,
sF10 = complement(complement(sF8)),
inference(step,[status(thm)],[t2694,t185]) ).
cnf(t2696,plain,
sF10 = complement(sF9),
inference(step,[status(thm)],[t2695,t203]) ).
cnf(t210,plain,
complement(sF9) = sF10,
inference(orient,[status(thm)],[t2696]) ).
cnf(t3186,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,sF10)))))) = false,
inference(step,[status(thm)],[t3185,t210]) ).
cnf(t2131,plain,
member(u,complement(intersection(sF2,complement(complement(intersection(sF4,sF10)))))) = false,
inference(orient,[status(thm)],[t3186]) ).
cnf(t2134,plain,
sF0 = ifeq(member(u,universal_class),sF0,or(false,member(u,intersection(sF2,complement(complement(intersection(sF4,sF10)))))),sF0),
inference(cp,[status(thm)],[t613,t2131]) ).
cnf(t2640,plain,
member(u,universal_class) = sF0,
inference(step,[status(thm)],[t116,t122]) ).
cnf(t134,plain,
member(u,universal_class) = sF0,
inference(orient,[status(thm)],[t2640]) ).
cnf(t3205,plain,
sF0 = ifeq(sF0,sF0,or(false,member(u,intersection(sF2,complement(complement(intersection(sF4,sF10)))))),sF0),
inference(step,[status(thm)],[t2134,t134]) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t147,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(t3206,plain,
sF0 = or(false,member(u,intersection(sF2,complement(complement(intersection(sF4,sF10)))))),
inference(step,[status(thm)],[t3205,t147]) ).
cnf(t9,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t119,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t3207,plain,
sF0 = member(u,intersection(sF2,complement(complement(intersection(sF4,sF10))))),
inference(step,[status(thm)],[t3206,t119]) ).
cnf(t2478,plain,
member(u,intersection(sF2,complement(complement(intersection(sF4,sF10))))) = sF0,
inference(orient,[status(thm)],[t3207]) ).
cnf(t2479,plain,
sF0 = ifeq(sF0,sF0,member(u,sF2),sF0),
inference(cp,[status(thm)],[t260,t2478]) ).
cnf(t3208,plain,
sF0 = member(u,sF2),
inference(step,[status(thm)],[t2479,t147]) ).
cnf(t16,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t2652,plain,
ifeq(not(X1),sF0,X1,false) = false,
inference(step,[status(thm)],[t16,t122]) ).
cnf(t159,plain,
ifeq(not(X1),sF0,X1,false) = false,
inference(orient,[status(thm)],[t2652]) ).
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(t36,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t2702,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(step,[status(thm)],[t36,t122]) ).
cnf(t231,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(orient,[status(thm)],[t2702]) ).
cnf(f8,axiom,
( member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox2/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(t40,plain,
ifeq(member(X1,universal_class),true,member(X1,unordered_pair(X1,X2)),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t2733,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),true) = true,
inference(step,[status(thm)],[t40,t122]) ).
cnf(t2734,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),sF0) = true,
inference(step,[status(thm)],[t2733,t122]) ).
cnf(t2735,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),sF0) = sF0,
inference(step,[status(thm)],[t2734,t122]) ).
cnf(t319,plain,
ifeq(member(X1,universal_class),sF0,member(X1,unordered_pair(X1,X2)),sF0) = sF0,
inference(orient,[status(thm)],[t2735]) ).
cnf(t322,plain,
sF0 = ifeq(member(u,universal_class),sF0,member(u,sF1),sF0),
inference(cp,[status(thm)],[t319,t141]) ).
cnf(t2736,plain,
sF0 = ifeq(sF0,sF0,member(u,sF1),sF0),
inference(step,[status(thm)],[t322,t134]) ).
cnf(t2737,plain,
sF0 = member(u,sF1),
inference(step,[status(thm)],[t2736,t147]) ).
cnf(t329,plain,
member(u,sF1) = sF0,
inference(orient,[status(thm)],[t2737]) ).
cnf(t330,plain,
sF0 = or(not(member(u,complement(sF1))),not(sF0)),
inference(cp,[status(thm)],[t231,t329]) ).
cnf(t2738,plain,
sF0 = or(not(member(u,sF2)),not(sF0)),
inference(step,[status(thm)],[t330,t146]) ).
cnf(t3,plain,
not(true) = false,
introduced(definition) ).
cnf(t112,plain,
not(true) = false,
inference(orient,[status(thm)],[t3]) ).
cnf(t2635,plain,
not(sF0) = false,
inference(step,[status(thm)],[t112,t122]) ).
cnf(t129,plain,
not(sF0) = false,
inference(rw,[status(thm)],[t2635]) ).
cnf(t140,plain,
not(sF0) = false,
inference(orient,[status(thm)],[t129]) ).
cnf(t2739,plain,
sF0 = or(not(member(u,sF2)),false),
inference(step,[status(thm)],[t2738,t140]) ).
cnf(t7,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t117,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t2740,plain,
sF0 = not(member(u,sF2)),
inference(step,[status(thm)],[t2739,t117]) ).
cnf(t333,plain,
not(member(u,sF2)) = sF0,
inference(orient,[status(thm)],[t2740]) ).
cnf(t334,plain,
false = ifeq(sF0,sF0,member(u,sF2),false),
inference(cp,[status(thm)],[t159,t333]) ).
cnf(t2741,plain,
false = member(u,sF2),
inference(step,[status(thm)],[t334,t147]) ).
cnf(t335,plain,
member(u,sF2) = false,
inference(orient,[status(thm)],[t2741]) ).
cnf(t3209,plain,
sF0 = false,
inference(step,[status(thm)],[t3208,t335]) ).
cnf(t2487,plain,
false = sF0,
inference(orient,[status(thm)],[t3209]) ).
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,t122]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t2487]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET130-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 09:58:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.52/2.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.52/2.35 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------