%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET158-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 02:42:38 PM UTC 2026
% Result : Unsatisfiable 7.56s 6.59s
% Output : Proof 7.56s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t109,axiom,
sF0 = member(y,x),
introduced(definition) ).
cnf(f114,negated_conjecture,
y = z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_complement_axiom_3) ).
fof(f114_nnf,plain,
y = z,
inference(nnf_transformation,[status(thm)],[f114]) ).
cnf(c114,plain,
y = z,
inference(cnf_transformation,[status(esa)],[f114_nnf]) ).
cnf(t0,plain,
z = y,
inference(equality_encoding,[status(esa)],[c114]) ).
cnf(t112,plain,
y = z,
inference(orient,[status(thm)],[t0]) ).
cnf(t267,plain,
sF0 = member(z,x),
inference(step,[status(thm)],[t109,t112]) ).
cnf(f112,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_complement_axiom_1) ).
fof(f112_nnf,plain,
member(y,x),
inference(nnf_transformation,[status(thm)],[f112]) ).
cnf(c112,plain,
member(y,x),
inference(cnf_transformation,[status(esa)],[f112_nnf]) ).
cnf(t7,plain,
member(y,x) = true,
inference(equality_encoding,[status(esa)],[c112]) ).
cnf(t266,plain,
member(z,x) = true,
inference(step,[status(thm)],[t7,t112]) ).
cnf(t120,plain,
member(z,x) = true,
inference(orient,[status(thm)],[t266]) ).
cnf(t268,plain,
sF0 = true,
inference(step,[status(thm)],[t267,t120]) ).
cnf(t126,plain,
true = sF0,
inference(orient,[status(thm)],[t268]) ).
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(t45,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t339,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(step,[status(thm)],[t45,t126]) ).
cnf(t251,plain,
or(not(member(X1,complement(X2))),not(member(X1,X2))) = sF0,
inference(orient,[status(thm)],[t339]) ).
cnf(t280,plain,
member(z,x) = sF0,
inference(step,[status(thm)],[t120,t126]) ).
cnf(t138,plain,
member(z,x) = sF0,
inference(orient,[status(thm)],[t280]) ).
cnf(t254,plain,
sF0 = or(not(member(z,complement(x))),not(sF0)),
inference(cp,[status(thm)],[t251,t138]) ).
cnf(t110,axiom,
sF1 = complement(x),
introduced(definition) ).
cnf(t117,plain,
complement(x) = sF1,
inference(orient,[status(thm)],[t110]) ).
cnf(t340,plain,
sF0 = or(not(member(z,sF1)),not(sF0)),
inference(step,[status(thm)],[t254,t117]) ).
cnf(f113,negated_conjecture,
member(z,complement(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_complement_axiom_2) ).
fof(f113_nnf,plain,
member(z,complement(x)),
inference(nnf_transformation,[status(thm)],[f113]) ).
cnf(c113,plain,
member(z,complement(x)),
inference(cnf_transformation,[status(esa)],[f113_nnf]) ).
cnf(t13,plain,
member(z,complement(x)) = true,
inference(equality_encoding,[status(esa)],[c113]) ).
cnf(t286,plain,
member(z,sF1) = true,
inference(step,[status(thm)],[t13,t117]) ).
cnf(t287,plain,
member(z,sF1) = sF0,
inference(step,[status(thm)],[t286,t126]) ).
cnf(t147,plain,
member(z,sF1) = sF0,
inference(orient,[status(thm)],[t287]) ).
cnf(t341,plain,
sF0 = or(not(sF0),not(sF0)),
inference(step,[status(thm)],[t340,t147]) ).
cnf(t4,plain,
not(true) = false,
introduced(definition) ).
cnf(t116,plain,
not(true) = false,
inference(orient,[status(thm)],[t4]) ).
cnf(t275,plain,
not(sF0) = false,
inference(step,[status(thm)],[t116,t126]) ).
cnf(t133,plain,
not(sF0) = false,
inference(rw,[status(thm)],[t275]) ).
cnf(t144,plain,
not(sF0) = false,
inference(orient,[status(thm)],[t133]) ).
cnf(t342,plain,
sF0 = or(false,not(sF0)),
inference(step,[status(thm)],[t341,t144]) ).
cnf(t10,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t123,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t10]) ).
cnf(t343,plain,
sF0 = not(sF0),
inference(step,[status(thm)],[t342,t123]) ).
cnf(t344,plain,
sF0 = false,
inference(step,[status(thm)],[t343,t144]) ).
cnf(t258,plain,
false = sF0,
inference(orient,[status(thm)],[t344]) ).
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]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t126]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t258]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET158-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.40 % Computer : n015.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Thu Sep 24 10:07:46 UTC 2026
% 0.11/5.41 % CPUTime :
% 0.11/5.41 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.56/6.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.56/6.59 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------