%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET117-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 02:42:22 PM UTC 2026
% Result : Unsatisfiable 8.10s 1.54s
% Output : Proof 8.10s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t170,axiom,
sF1 = ifeq(member(x,universal_class),true,false,true),
introduced(definition) ).
cnf(f164,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_2) ).
fof(f164_nnf,plain,
~ member(x,universal_class),
inference(nnf_transformation,[status(thm)],[f164]) ).
fof(f164_sk,plain,
~ member(x,universal_class),
inference(skolemisation,[status(esa)],[f164_nnf]) ).
cnf(c164,plain,
~ member(x,universal_class),
inference(cnf_transformation,[status(esa)],[f164_sk]) ).
cnf(t8,plain,
member(x,universal_class) = false,
inference(equality_encoding,[status(esa)],[c164]) ).
cnf(t187,plain,
member(x,universal_class) = false,
inference(orient,[status(thm)],[t8]) ).
cnf(t169,axiom,
sF0 = member(x,universal_class),
introduced(definition) ).
cnf(t2029,plain,
sF0 = false,
inference(step,[status(thm)],[t169,t187]) ).
cnf(t195,plain,
false = sF0,
inference(orient,[status(thm)],[t2029]) ).
cnf(t2035,plain,
member(x,universal_class) = sF0,
inference(step,[status(thm)],[t187,t195]) ).
cnf(t201,plain,
member(x,universal_class) = sF0,
inference(orient,[status(thm)],[t2035]) ).
cnf(t2049,plain,
sF1 = ifeq(sF0,true,false,true),
inference(step,[status(thm)],[t170,t201]) ).
cnf(t2050,plain,
sF1 = ifeq(sF0,true,sF0,true),
inference(step,[status(thm)],[t2049,t195]) ).
cnf(f102,axiom,
~ member(Z,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f102_nnf,plain,
! [Z] : ~ member(Z,null_class),
inference(nnf_transformation,[status(thm)],[f102]) ).
fof(f102_sk,plain,
! [Z] : ~ member(Z,null_class),
inference(skolemisation,[status(esa)],[f102_nnf]) ).
cnf(c102,plain,
~ member(X0,null_class),
inference(cnf_transformation,[status(esa)],[f102_sk]) ).
cnf(t28,plain,
ifeq(member(X1,null_class),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c102]) ).
cnf(t5,plain,
member(X1,null_class) = false,
inference(equality_encoding,[status(esa)],[c102]) ).
cnf(t184,plain,
member(X1,null_class) = false,
inference(orient,[status(thm)],[t5]) ).
cnf(t2033,plain,
member(X1,null_class) = sF0,
inference(step,[status(thm)],[t184,t195]) ).
cnf(t199,plain,
member(X1,null_class) = sF0,
inference(orient,[status(thm)],[t2033]) ).
cnf(t2047,plain,
ifeq(sF0,true,false,true) = true,
inference(step,[status(thm)],[t28,t199]) ).
cnf(t2048,plain,
ifeq(sF0,true,sF0,true) = true,
inference(step,[status(thm)],[t2047,t195]) ).
cnf(t241,plain,
ifeq(sF0,true,sF0,true) = true,
inference(orient,[status(thm)],[t2048]) ).
cnf(t2051,plain,
sF1 = true,
inference(step,[status(thm)],[t2050,t241]) ).
cnf(t275,plain,
true = sF1,
inference(orient,[status(thm)],[t2051]) ).
cnf(f10,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f10_nnf,plain,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t19,plain,
member(unordered_pair(X1,X2),universal_class) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t211,plain,
member(unordered_pair(X1,X2),universal_class) = true,
inference(orient,[status(thm)],[t19]) ).
cnf(t2073,plain,
member(unordered_pair(X1,X2),universal_class) = sF1,
inference(step,[status(thm)],[t211,t275]) ).
cnf(t299,plain,
member(unordered_pair(X1,X2),universal_class) = sF1,
inference(orient,[status(thm)],[t2073]) ).
cnf(f163,negated_conjecture,
ordered_pair(first(x),second(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_1) ).
fof(f163_nnf,plain,
ordered_pair(first(x),second(x)) = x,
inference(nnf_transformation,[status(thm)],[f163]) ).
cnf(c163,plain,
ordered_pair(first(x),second(x)) = x,
inference(cnf_transformation,[status(esa)],[f163_nnf]) ).
cnf(u78,axiom,
ordered_pair(first(x),second(x)) = x,
inference(equality_encoding,[status(esa)],[c163]) ).
cnf(f12,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f12_nnf,plain,
! [X,Y] : unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,Y] : unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(u0,axiom,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
inference(equality_encoding,[status(esa)],[c12]) ).
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(d1,axiom,
unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) = ordered_pair(X0,X1),
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(t92,plain,
unordered_pair(unordered_pair(first(x),first(x)),unordered_pair(first(x),unordered_pair(second(x),second(x)))) = x,
inference(definition_unfolding,[status(thm)],[u78,d1]) ).
cnf(t27,plain,
ifeq(eq(X1,X2),true,X1,X2) = X2,
introduced(definition) ).
cnf(t240,plain,
ifeq(eq(X1,X2),true,X1,X2) = X2,
inference(orient,[status(thm)],[t27]) ).
cnf(t2086,plain,
ifeq(eq(X1,X2),sF1,X1,X2) = X2,
inference(step,[status(thm)],[t240,t275]) ).
cnf(t317,plain,
ifeq(eq(X1,X2),sF1,X1,X2) = X2,
inference(rw,[status(thm)],[t2086]) ).
cnf(t380,plain,
ifeq(eq(X1,X2),sF1,X1,X2) = X2,
inference(orient,[status(thm)],[t317]) ).
cnf(f111,axiom,
( unordered_pair(X,Y) = singleton(Y)
| member(X,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton2) ).
fof(f111_nnf,plain,
! [X,Y] :
( unordered_pair(X,Y) = singleton(Y)
| member(X,universal_class) ),
inference(nnf_transformation,[status(thm)],[f111]) ).
fof(f111_sk,plain,
! [X,Y] :
( unordered_pair(X,Y) = singleton(Y)
| member(X,universal_class) ),
inference(skolemisation,[status(esa)],[f111_nnf]) ).
cnf(c111,plain,
( unordered_pair(X0,X1) = singleton(X1)
| member(X0,universal_class) ),
inference(cnf_transformation,[status(esa)],[f111_sk]) ).
cnf(u11,axiom,
or(member(X0,universal_class),eq(unordered_pair(X0,X1),singleton(X1))) = true,
inference(equality_encoding,[status(esa)],[c111]) ).
cnf(t69,plain,
or(member(X1,universal_class),eq(unordered_pair(X1,X2),unordered_pair(X2,X2))) = true,
inference(definition_unfolding,[status(thm)],[u11,d0]) ).
cnf(t2264,plain,
or(member(X1,universal_class),eq(unordered_pair(X1,X2),unordered_pair(X2,X2))) = sF1,
inference(step,[status(thm)],[t69,t275]) ).
cnf(t879,plain,
or(member(X1,universal_class),eq(unordered_pair(X1,X2),unordered_pair(X2,X2))) = sF1,
inference(orient,[status(thm)],[t2264]) ).
cnf(t880,plain,
sF1 = or(sF0,eq(unordered_pair(x,X1),unordered_pair(X1,X1))),
inference(cp,[status(thm)],[t879,t201]) ).
cnf(t11,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t190,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t2038,plain,
or(sF0,X1) = X1,
inference(step,[status(thm)],[t190,t195]) ).
cnf(t204,plain,
or(sF0,X1) = X1,
inference(rw,[status(thm)],[t2038]) ).
cnf(t208,plain,
or(sF0,X1) = X1,
inference(orient,[status(thm)],[t204]) ).
cnf(t2265,plain,
sF1 = eq(unordered_pair(x,X1),unordered_pair(X1,X1)),
inference(step,[status(thm)],[t880,t208]) ).
cnf(t886,plain,
eq(unordered_pair(x,X1),unordered_pair(X1,X1)) = sF1,
inference(orient,[status(thm)],[t2265]) ).
cnf(t890,plain,
unordered_pair(X1,X1) = ifeq(sF1,sF1,unordered_pair(x,X1),unordered_pair(X1,X1)),
inference(cp,[status(thm)],[t380,t886]) ).
cnf(t16,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t207,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t16]) ).
cnf(t2270,plain,
unordered_pair(X1,X1) = unordered_pair(x,X1),
inference(step,[status(thm)],[t890,t207]) ).
cnf(t907,plain,
unordered_pair(X1,X1) = unordered_pair(x,X1),
inference(orient,[status(thm)],[t2270]) ).
cnf(t2460,plain,
unordered_pair(unordered_pair(x,first(x)),unordered_pair(first(x),unordered_pair(second(x),second(x)))) = x,
inference(step,[status(thm)],[t92,t907]) ).
cnf(t171,axiom,
sF2 = first(x),
introduced(definition) ).
cnf(t181,plain,
first(x) = sF2,
inference(orient,[status(thm)],[t171]) ).
cnf(t2461,plain,
unordered_pair(unordered_pair(x,sF2),unordered_pair(first(x),unordered_pair(second(x),second(x)))) = x,
inference(step,[status(thm)],[t2460,t181]) ).
cnf(f107,axiom,
unordered_pair(X,Y) = unordered_pair(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f107_nnf,plain,
! [X,Y] : unordered_pair(X,Y) = unordered_pair(Y,X),
inference(nnf_transformation,[status(thm)],[f107]) ).
fof(f107_sk,plain,
! [X,Y] : unordered_pair(X,Y) = unordered_pair(Y,X),
inference(skolemisation,[status(esa)],[f107_nnf]) ).
cnf(c107,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[status(esa)],[f107_sk]) ).
cnf(t22,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(equality_encoding,[status(esa)],[c107]) ).
cnf(t220,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(orient,[status(thm)],[t22]) ).
cnf(t2462,plain,
unordered_pair(unordered_pair(sF2,x),unordered_pair(first(x),unordered_pair(second(x),second(x)))) = x,
inference(step,[status(thm)],[t2461,t220]) ).
cnf(t917,plain,
unordered_pair(x,X1) = unordered_pair(X1,X1),
inference(cp,[status(thm)],[t907,t220]) ).
cnf(t997,plain,
unordered_pair(x,X1) = unordered_pair(X1,X1),
inference(orient,[status(thm)],[t917]) ).
cnf(t998,plain,
unordered_pair(X1,X1) = unordered_pair(X1,x),
inference(cp,[status(thm)],[t997,t220]) ).
cnf(t1115,plain,
unordered_pair(X1,X1) = unordered_pair(X1,x),
inference(orient,[status(thm)],[t998]) ).
cnf(t2463,plain,
unordered_pair(unordered_pair(sF2,sF2),unordered_pair(first(x),unordered_pair(second(x),second(x)))) = x,
inference(step,[status(thm)],[t2462,t1115]) ).
cnf(t172,axiom,
sF3 = unordered_pair(first(x),first(x)),
introduced(definition) ).
cnf(t2040,plain,
sF3 = unordered_pair(sF2,first(x)),
inference(step,[status(thm)],[t172,t181]) ).
cnf(t2041,plain,
sF3 = unordered_pair(sF2,sF2),
inference(step,[status(thm)],[t2040,t181]) ).
cnf(t215,plain,
unordered_pair(sF2,sF2) = sF3,
inference(orient,[status(thm)],[t2041]) ).
cnf(t2464,plain,
unordered_pair(sF3,unordered_pair(first(x),unordered_pair(second(x),second(x)))) = x,
inference(step,[status(thm)],[t2463,t215]) ).
cnf(t2465,plain,
unordered_pair(sF3,unordered_pair(sF2,unordered_pair(second(x),second(x)))) = x,
inference(step,[status(thm)],[t2464,t181]) ).
cnf(t2466,plain,
unordered_pair(sF3,unordered_pair(sF2,unordered_pair(x,second(x)))) = x,
inference(step,[status(thm)],[t2465,t907]) ).
cnf(t173,axiom,
sF4 = second(x),
introduced(definition) ).
cnf(t182,plain,
second(x) = sF4,
inference(orient,[status(thm)],[t173]) ).
cnf(t2467,plain,
unordered_pair(sF3,unordered_pair(sF2,unordered_pair(x,sF4))) = x,
inference(step,[status(thm)],[t2466,t182]) ).
cnf(t2468,plain,
unordered_pair(sF3,unordered_pair(sF2,unordered_pair(sF4,x))) = x,
inference(step,[status(thm)],[t2467,t220]) ).
cnf(t2469,plain,
unordered_pair(sF3,unordered_pair(sF2,unordered_pair(sF4,sF4))) = x,
inference(step,[status(thm)],[t2468,t1115]) ).
cnf(t174,axiom,
sF5 = unordered_pair(second(x),second(x)),
introduced(definition) ).
cnf(t2042,plain,
sF5 = unordered_pair(sF4,second(x)),
inference(step,[status(thm)],[t174,t182]) ).
cnf(t2043,plain,
sF5 = unordered_pair(sF4,sF4),
inference(step,[status(thm)],[t2042,t182]) ).
cnf(t218,plain,
unordered_pair(sF4,sF4) = sF5,
inference(orient,[status(thm)],[t2043]) ).
cnf(t2470,plain,
unordered_pair(sF3,unordered_pair(sF2,sF5)) = x,
inference(step,[status(thm)],[t2469,t218]) ).
cnf(t175,axiom,
sF6 = unordered_pair(first(x),unordered_pair(second(x),second(x))),
introduced(definition) ).
cnf(t2127,plain,
sF6 = unordered_pair(sF2,unordered_pair(second(x),second(x))),
inference(step,[status(thm)],[t175,t181]) ).
cnf(t2128,plain,
sF6 = unordered_pair(sF2,unordered_pair(sF4,second(x))),
inference(step,[status(thm)],[t2127,t182]) ).
cnf(t2129,plain,
sF6 = unordered_pair(sF2,unordered_pair(sF4,sF4)),
inference(step,[status(thm)],[t2128,t182]) ).
cnf(t2130,plain,
sF6 = unordered_pair(sF2,sF5),
inference(step,[status(thm)],[t2129,t218]) ).
cnf(t409,plain,
unordered_pair(sF2,sF5) = sF6,
inference(orient,[status(thm)],[t2130]) ).
cnf(t2471,plain,
unordered_pair(sF3,sF6) = x,
inference(step,[status(thm)],[t2470,t409]) ).
cnf(t1655,plain,
unordered_pair(sF3,sF6) = x,
inference(orient,[status(thm)],[t2471]) ).
cnf(t1657,plain,
sF1 = member(x,universal_class),
inference(cp,[status(thm)],[t299,t1655]) ).
cnf(t2472,plain,
sF1 = sF0,
inference(step,[status(thm)],[t1657,t201]) ).
cnf(t1686,plain,
sF1 = sF0,
inference(orient,[status(thm)],[t2472]) ).
cnf(t2515,plain,
true = sF0,
inference(step,[status(thm)],[t275,t1686]) ).
cnf(t1729,plain,
true = sF0,
inference(orient,[status(thm)],[t2515]) ).
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(f101,axiom,
~ member(Y,intersection(complement(X),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(f101_nnf,plain,
! [Y,X] : ~ member(Y,intersection(complement(X),X)),
inference(nnf_transformation,[status(thm)],[f101]) ).
fof(f101_sk,plain,
! [Y,X] : ~ member(Y,intersection(complement(X),X)),
inference(skolemisation,[status(esa)],[f101_nnf]) ).
cnf(c101,plain,
~ member(X0,intersection(complement(X1),X1)),
inference(cnf_transformation,[status(esa)],[f101_sk]) ).
cnf(f115,axiom,
( unordered_pair(X,Y) != null_class
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_to_unordered_pair_axiom1) ).
fof(f115_nnf,plain,
! [X,Y] :
( unordered_pair(X,Y) != null_class
| ~ member(X,universal_class) ),
inference(nnf_transformation,[status(thm)],[f115]) ).
fof(f115_sk,plain,
! [X,Y] :
( unordered_pair(X,Y) != null_class
| ~ member(X,universal_class) ),
inference(skolemisation,[status(esa)],[f115_nnf]) ).
cnf(c115,plain,
( unordered_pair(X0,X1) != null_class
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(esa)],[f115_sk]) ).
cnf(f116,axiom,
( unordered_pair(X,Y) != null_class
| ~ member(Y,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_to_unordered_pair_axiom2) ).
fof(f116_nnf,plain,
! [Y,X] :
( unordered_pair(X,Y) != null_class
| ~ member(Y,universal_class) ),
inference(nnf_transformation,[status(thm)],[f116]) ).
fof(f116_sk,plain,
! [Y,X] :
( unordered_pair(X,Y) != null_class
| ~ member(Y,universal_class) ),
inference(skolemisation,[status(esa)],[f116_nnf]) ).
cnf(c116,plain,
( unordered_pair(X1,X0) != null_class
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(f117,axiom,
( unordered_pair(X,Y) != null_class
| ~ member(ordered_pair(X,Y),cross_product(U,V)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_to_unordered_pair_axiom3) ).
fof(f117_nnf,plain,
! [X,Y,U,V] :
( unordered_pair(X,Y) != null_class
| ~ member(ordered_pair(X,Y),cross_product(U,V)) ),
inference(nnf_transformation,[status(thm)],[f117]) ).
fof(f117_sk,plain,
! [X,Y,U,V] :
( unordered_pair(X,Y) != null_class
| ~ member(ordered_pair(X,Y),cross_product(U,V)) ),
inference(skolemisation,[status(esa)],[f117_nnf]) ).
cnf(c117,plain,
( unordered_pair(X0,X1) != null_class
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f117_sk]) ).
cnf(f122,axiom,
( singleton(X) != null_class
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_to_set_in_its_singleton) ).
fof(f122_nnf,plain,
! [X] :
( singleton(X) != null_class
| ~ member(X,universal_class) ),
inference(nnf_transformation,[status(thm)],[f122]) ).
fof(f122_sk,plain,
! [X] :
( singleton(X) != null_class
| ~ member(X,universal_class) ),
inference(skolemisation,[status(esa)],[f122_nnf]) ).
cnf(c122,plain,
( singleton(X0) != null_class
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(esa)],[f122_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c23,c29,c101,c102,c115,c116,c117,c122,c164]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t1729]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t195]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET117-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n017.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
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 09:49:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.10/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.10/1.54 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------