%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET063-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 02:41:53 PM UTC 2026
% Result : Unsatisfiable 4.04s 1.02s
% Output : Proof 4.04s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t107,axiom,
sF1 = subclass(x,null_class),
introduced(definition) ).
cnf(f104,negated_conjecture,
subclass(x,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
fof(f104_nnf,plain,
subclass(x,null_class),
inference(nnf_transformation,[status(thm)],[f104]) ).
cnf(c104,plain,
subclass(x,null_class),
inference(cnf_transformation,[status(esa)],[f104_nnf]) ).
cnf(t15,plain,
subclass(x,null_class) = true,
inference(equality_encoding,[status(esa)],[c104]) ).
cnf(t124,plain,
subclass(x,null_class) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t562,plain,
sF1 = true,
inference(step,[status(thm)],[t107,t124]) ).
cnf(t136,plain,
true = sF1,
inference(orient,[status(thm)],[t562]) ).
cnf(f105,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
fof(f105_nnf,plain,
x != null_class,
inference(nnf_transformation,[status(thm)],[f105]) ).
fof(f105_sk,plain,
x != null_class,
inference(skolemisation,[status(esa)],[f105_nnf]) ).
cnf(c105,plain,
x != null_class,
inference(cnf_transformation,[status(esa)],[f105_sk]) ).
cnf(t5,plain,
eq(x,null_class) = false,
inference(equality_encoding,[status(esa)],[c105]) ).
cnf(t114,plain,
eq(x,null_class) = false,
inference(orient,[status(thm)],[t5]) ).
cnf(t106,axiom,
sF0 = eq(x,null_class),
introduced(definition) ).
cnf(t552,plain,
sF0 = false,
inference(step,[status(thm)],[t106,t114]) ).
cnf(t125,plain,
false = sF0,
inference(orient,[status(thm)],[t552]) ).
cnf(t556,plain,
eq(x,null_class) = sF0,
inference(step,[status(thm)],[t114,t125]) ).
cnf(t129,plain,
eq(x,null_class) = sF0,
inference(orient,[status(thm)],[t556]) ).
cnf(t413,plain,
eq(x,x) = sF0,
inference(rw,[status(thm)],[t129]) ).
cnf(t4,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t113,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t568,plain,
eq(X1,X1) = sF1,
inference(step,[status(thm)],[t113,t136]) ).
cnf(t142,plain,
eq(X1,X1) = sF1,
inference(orient,[status(thm)],[t568]) ).
cnf(t722,plain,
sF1 = sF0,
inference(step,[status(thm)],[t413,t142]) ).
cnf(t440,plain,
sF1 = sF0,
inference(orient,[status(thm)],[t722]) ).
cnf(t737,plain,
true = sF0,
inference(step,[status(thm)],[t136,t440]) ).
cnf(t455,plain,
true = sF0,
inference(orient,[status(thm)],[t737]) ).
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(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(f101,axiom,
~ member(Y,intersection(complement(X),X)),
file('/export/starexec/sandbox/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(f102,axiom,
~ member(Z,null_class),
file('/export/starexec/sandbox/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(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c23,c29,c101,c102,c105]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t455]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t125]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET063-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 09:31:35 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.04/1.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.04/1.02 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------