%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET054-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 02:41:44 PM UTC 2026
% Result : Unsatisfiable 5.68s 1.27s
% Output : Proof 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 22 unt; 0 def)
% Number of atoms : 46 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 39 ( 27 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 34 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,axiom,
( subclass(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass1) ).
fof(f4_nnf,plain,
! [X,Y] :
( subclass(X,Y)
| X != Y ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y] :
( subclass(X,Y)
| X != Y ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( subclass(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t17,plain,
ifeq(X1,X2,subclass(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t125,plain,
ifeq(X1,X2,subclass(X1,X2),true) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(f95,negated_conjecture,
~ subclass(x,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_is_reflexive_1) ).
fof(f95_nnf,plain,
~ subclass(x,x),
inference(nnf_transformation,[status(thm)],[f95]) ).
fof(f95_sk,plain,
~ subclass(x,x),
inference(skolemisation,[status(esa)],[f95_nnf]) ).
cnf(c95,plain,
~ subclass(x,x),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(t11,plain,
subclass(x,x) = false,
inference(equality_encoding,[status(esa)],[c95]) ).
cnf(t107,plain,
subclass(x,x) = false,
inference(orient,[status(thm)],[t11]) ).
cnf(t94,axiom,
sF0 = subclass(x,x),
introduced(definition) ).
cnf(t155,plain,
sF0 = false,
inference(step,[status(thm)],[t94,t107]) ).
cnf(t108,plain,
false = sF0,
inference(orient,[status(thm)],[t155]) ).
cnf(t161,plain,
subclass(x,x) = sF0,
inference(step,[status(thm)],[t107,t108]) ).
cnf(t114,plain,
subclass(x,x) = sF0,
inference(orient,[status(thm)],[t161]) ).
cnf(t127,plain,
true = ifeq(x,x,sF0,true),
inference(cp,[status(thm)],[t125,t114]) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t119,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(t165,plain,
true = sF0,
inference(step,[status(thm)],[t127,t119]) ).
cnf(t131,plain,
true = sF0,
inference(orient,[status(thm)],[t165]) ).
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(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,t131]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t108]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET054-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 09:26:22 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.68/1.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.68/1.27 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------