%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET055-7 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 02:41:45 PM UTC 2026
% Result : Unsatisfiable 6.27s 1.48s
% Output : Proof 6.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 25 unt; 0 def)
% Number of atoms : 53 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 30 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 40 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f73,axiom,
( equalish(X,Y)
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f73_nnf,plain,
! [X,Y] :
( equalish(X,Y)
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
inference(nnf_transformation,[status(thm)],[f73]) ).
fof(f73_sk,plain,
! [X,Y] :
( equalish(X,Y)
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
inference(skolemisation,[status(esa)],[f73_nnf]) ).
cnf(c73,plain,
( equalish(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f73_sk]) ).
cnf(t147,plain,
ifeq(subclass(X1,X2),true,ifeq(subclass(X2,X1),true,equalish(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c73]) ).
cnf(t300,plain,
ifeq(subclass(X1,X2),true,ifeq(subclass(X2,X1),true,equalish(X1,X2),true),true) = true,
inference(orient,[status(thm)],[t147]) ).
cnf(f164,negated_conjecture,
~ equalish(x,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f164_nnf,plain,
~ equalish(x,x),
inference(nnf_transformation,[status(thm)],[f164]) ).
fof(f164_sk,plain,
~ equalish(x,x),
inference(skolemisation,[status(esa)],[f164_nnf]) ).
cnf(c164,plain,
~ equalish(x,x),
inference(cnf_transformation,[status(esa)],[f164_sk]) ).
cnf(t4,plain,
equalish(x,x) = false,
inference(equality_encoding,[status(esa)],[c164]) ).
cnf(t1967,plain,
equalish(x,x) = false,
inference(orient,[status(thm)],[t4]) ).
cnf(t1975,plain,
true = ifeq(subclass(x,x),true,ifeq(subclass(x,x),true,false,true),true),
inference(cp,[status(thm)],[t300,t1967]) ).
cnf(f162,axiom,
subclass(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_is_reflexive) ).
fof(f162_nnf,plain,
! [X] : subclass(X,X),
inference(nnf_transformation,[status(thm)],[f162]) ).
fof(f162_sk,plain,
! [X] : subclass(X,X),
inference(skolemisation,[status(esa)],[f162_nnf]) ).
cnf(c162,plain,
subclass(X0,X0),
inference(cnf_transformation,[status(esa)],[f162_sk]) ).
cnf(t10,plain,
subclass(X1,X1) = true,
inference(equality_encoding,[status(esa)],[c162]) ).
cnf(t1829,plain,
subclass(X1,X1) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t2057,plain,
true = ifeq(true,true,ifeq(subclass(x,x),true,false,true),true),
inference(step,[status(thm)],[t1975,t1829]) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t176,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(t2058,plain,
true = ifeq(subclass(x,x),true,false,true),
inference(step,[status(thm)],[t2057,t176]) ).
cnf(t2059,plain,
true = ifeq(true,true,false,true),
inference(step,[status(thm)],[t2058,t1829]) ).
cnf(t2060,plain,
true = false,
inference(step,[status(thm)],[t2059,t176]) ).
cnf(t2046,plain,
false = true,
inference(orient,[status(thm)],[t2060]) ).
cnf(f90,axiom,
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f90_nnf,plain,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c90,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
cnf(f96,axiom,
( ~ member(Z,domain_of(X))
| ~ equalish(restrict(X,singleton(Z),universal_class),null_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f96_nnf,plain,
! [X,Z] :
( ~ member(Z,domain_of(X))
| ~ equalish(restrict(X,singleton(Z),universal_class),null_class) ),
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
! [X,Z] :
( ~ member(Z,domain_of(X))
| ~ equalish(restrict(X,singleton(Z),universal_class),null_class) ),
inference(skolemisation,[status(esa)],[f96_nnf]) ).
cnf(c96,plain,
( ~ member(X1,domain_of(X0))
| ~ equalish(restrict(X0,singleton(X1),universal_class),null_class) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c90,c96,c164]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2046]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET055-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n003.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 09:29:05 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.27/1.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.27/1.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------