%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU181+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Sun Sep 27 08:41:11 AM UTC 2026
% Result : Theorem 49.13s 8.61s
% Output : CNFRefutation 49.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 98 ( 7 unt; 0 def)
% Number of atoms : 335 ( 60 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 425 ( 188 ~; 214 |; 4 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-2 aty)
% Number of variables : 144 ( 15 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_xboole_0,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ).
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(d4_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = 'relation$udom'(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in('ordered$upair'(X2,X3),X0) ) ) ) ).
fof(d5_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = 'relation$urng'(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in('ordered$upair'(X3,X2),X0) ) ) ) ).
fof(d7_relat_1,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( X1 = 'relation$uinverse'(X0)
<=> ! [X2,X3] :
( in('ordered$upair'(X2,X3),X1)
<=> in('ordered$upair'(X3,X2),X0) ) ) ) ) ).
fof(dt_k4_relat_1,axiom,
! [X0] :
( relation(X0)
=> relation('relation$uinverse'(X0)) ) ).
fof(involutiveness_k4_relat_1,axiom,
! [X0] :
( relation(X0)
=> 'relation$uinverse'('relation$uinverse'(X0)) = X0 ) ).
fof(t1_subset,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ) ).
fof(t2_subset,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ) ).
fof(t7_boole,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ) ).
fof(t37_relat_1,conjecture,
! [X0] :
( relation(X0)
=> ( 'relation$udom'(X0) = 'relation$urng'('relation$uinverse'(X0))
& 'relation$urng'(X0) = 'relation$udom'('relation$uinverse'(X0)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( 'relation$udom'(X0) = 'relation$urng'('relation$uinverse'(X0))
& 'relation$urng'(X0) = 'relation$udom'('relation$uinverse'(X0)) ) ),
inference(negate_conjecture,[status(cth)],[t37_relat_1]) ).
cnf(c4,plain,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[d10_xboole_0]) ).
cnf(c6,plain,
( in(sK9(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c7,plain,
( ~ in(sK9(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c8,plain,
( in('ordered$upair'(X2,sK13(X0,X2)),X0)
| ~ in(X2,X1)
| X1 != 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c9,plain,
( ~ in('ordered$upair'(X2,X3),X0)
| in(X2,X1)
| X1 != 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c11,plain,
( in('ordered$upair'(sK15(X0,X1),sK17(X0,X1)),X0)
| in(sK15(X0,X1),X1)
| X1 = 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c12,plain,
( ~ in(sK15(X0,X1),X1)
| ~ in('ordered$upair'(sK15(X0,X1),X2),X0)
| X1 = 'relation$udom'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d4_relat_1]) ).
cnf(c14,plain,
( in('ordered$upair'(sK21(X0,X2),X2),X0)
| ~ in(X2,X1)
| X1 != 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d5_relat_1]) ).
cnf(c15,plain,
( ~ in('ordered$upair'(X3,X2),X0)
| in(X2,X1)
| X1 != 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d5_relat_1]) ).
cnf(c17,plain,
( in('ordered$upair'(sK25(X0,X1),sK23(X0,X1)),X0)
| in(sK23(X0,X1),X1)
| X1 = 'relation$urng'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d5_relat_1]) ).
cnf(c21,plain,
( X0 != 'relation$uinverse'(X1)
| in('ordered$upair'(X3,X2),X1)
| ~ in('ordered$upair'(X2,X3),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d7_relat_1]) ).
cnf(c22,plain,
( X0 != 'relation$uinverse'(X1)
| in('ordered$upair'(X3,X2),X0)
| ~ in('ordered$upair'(X2,X3),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[d7_relat_1]) ).
cnf(c27,plain,
( relation('relation$uinverse'(X0))
| ~ relation(X0) ),
inference(clausification,[status(esa)],[dt_k4_relat_1]) ).
cnf(c34,plain,
( 'relation$uinverse'('relation$uinverse'(X0)) = X0
| ~ relation(X0) ),
inference(clausification,[status(esa)],[involutiveness_k4_relat_1]) ).
cnf(c44,plain,
( element(X0,X1)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t1_subset]) ).
cnf(c45,plain,
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(clausification,[status(esa)],[t2_subset]) ).
cnf(c51,plain,
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t7_boole]) ).
cnf(c53,plain,
relation(sK70),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c54,plain,
( 'relation$udom'(sK70) != 'relation$urng'('relation$uinverse'(sK70))
| 'relation$urng'(sK70) != 'relation$udom'('relation$uinverse'(sK70)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'relation$uinverse'('relation$uinverse'(sK70)) = sK70,
inference(resolution,[status(thm)],[c34,c53]) ).
cnf(d1,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ relation(X0)
| ~ in('ordered$upair'(X2,X1),X0)
| in('ordered$upair'(X1,X2),'relation$uinverse'(sK70))
| X0 != sK70 ),
inference(superposition,[status(thm)],[d0,c21]) ).
cnf(d2,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ relation(sK70)
| in('ordered$upair'(X1,X0),'relation$uinverse'(sK70))
| ~ in('ordered$upair'(X0,X1),sK70) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in('ordered$upair'(X1,X0),sK70)
| in('ordered$upair'(X0,X1),'relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[c53,d2]) ).
cnf(d4,plain,
( ~ relation(X1)
| ~ in('ordered$upair'(X2,X0),X1)
| in(X0,'relation$urng'(X1)) ),
inference(equality_resolution,[status(thm)],[c15]) ).
cnf(d5,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in('ordered$upair'(X0,X1),sK70)
| ~ relation('relation$uinverse'(sK70))
| in(X0,'relation$urng'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ relation(sK70)
| in(sK15(sK70,X0),X0)
| X0 = 'relation$udom'(sK70)
| ~ relation('relation$uinverse'(sK70))
| in(sK15(sK70,X0),'relation$urng'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[d5,c11]) ).
cnf(d7,plain,
( ~ relation('relation$uinverse'(sK70))
| in(sK15(sK70,X0),'relation$urng'('relation$uinverse'(sK70)))
| in(sK15(sK70,X0),X0)
| X0 = 'relation$udom'(sK70) ),
inference(resolution,[status(thm)],[c53,d6]) ).
cnf(d8,plain,
( ~ relation('relation$uinverse'(sK70))
| in(sK15(sK70,'relation$urng'('relation$uinverse'(sK70))),'relation$urng'('relation$uinverse'(sK70)))
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70) ),
inference(factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
( ~ relation(X1)
| in('ordered$upair'(X0,sK13(X1,X0)),X1)
| ~ in(X0,'relation$udom'(X1)) ),
inference(equality_resolution,[status(thm)],[c8]) ).
cnf(d10,plain,
( ~ relation(X2)
| ~ relation('relation$uinverse'(X2))
| ~ in('ordered$upair'(X1,X0),'relation$uinverse'(X2))
| in('ordered$upair'(X0,X1),X2) ),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(d11,plain,
( ~ relation('relation$uinverse'(X0))
| ~ in(X1,'relation$udom'('relation$uinverse'(X0)))
| ~ relation('relation$uinverse'(X0))
| ~ relation(X0)
| in('ordered$upair'(sK13('relation$uinverse'(X0),X1),X1),X0) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( ~ relation('relation$uinverse'('relation$uinverse'(sK70)))
| ~ relation('relation$uinverse'(sK70))
| ~ in(X0,'relation$udom'('relation$uinverse'('relation$uinverse'(sK70))))
| in('ordered$upair'(sK13(sK70,X0),X0),'relation$uinverse'(sK70)) ),
inference(superposition,[status(thm)],[d0,d11]) ).
cnf(d13,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ relation('relation$uinverse'('relation$uinverse'(sK70)))
| in('ordered$upair'(sK13(sK70,X0),X0),'relation$uinverse'(sK70))
| ~ in(X0,'relation$udom'(sK70)) ),
inference(demodulation,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ relation(sK70)
| in('ordered$upair'(sK13(sK70,X0),X0),'relation$uinverse'(sK70))
| ~ in(X0,'relation$udom'(sK70)) ),
inference(demodulation,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
( ~ relation('relation$uinverse'(sK70))
| in('ordered$upair'(sK13(sK70,X0),X0),'relation$uinverse'(sK70))
| ~ in(X0,'relation$udom'(sK70)) ),
inference(resolution,[status(thm)],[c53,d14]) ).
cnf(d16,plain,
( ~ relation(X2)
| ~ relation('relation$uinverse'(X2))
| ~ in('ordered$upair'(X1,X0),X2)
| in('ordered$upair'(X0,X1),'relation$uinverse'(X2)) ),
inference(equality_resolution,[status(thm)],[c22]) ).
cnf(d17,plain,
( ~ relation('relation$uinverse'(X1))
| ~ in(sK15('relation$uinverse'(X1),X2),X2)
| X2 = 'relation$udom'('relation$uinverse'(X1))
| ~ relation('relation$uinverse'(X1))
| ~ relation(X1)
| ~ in('ordered$upair'(X0,sK15('relation$uinverse'(X1),X2)),X1) ),
inference(resolution,[status(thm)],[d16,c12]) ).
cnf(d18,plain,
( ~ relation('relation$uinverse'('relation$uinverse'(sK70)))
| ~ relation('relation$uinverse'(sK70))
| ~ in(sK15('relation$uinverse'('relation$uinverse'(sK70)),X1),X1)
| X1 = 'relation$udom'('relation$uinverse'('relation$uinverse'(sK70)))
| ~ in('ordered$upair'(X0,sK15(sK70,X1)),'relation$uinverse'(sK70)) ),
inference(superposition,[status(thm)],[d0,d17]) ).
cnf(d19,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ relation('relation$uinverse'('relation$uinverse'(sK70)))
| ~ in(sK15('relation$uinverse'('relation$uinverse'(sK70)),X0),X0)
| ~ in('ordered$upair'(X1,sK15(sK70,X0)),'relation$uinverse'(sK70))
| X0 = 'relation$udom'(sK70) ),
inference(demodulation,[status(thm)],[d18,d0]) ).
cnf(d20,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ relation('relation$uinverse'('relation$uinverse'(sK70)))
| ~ in(sK15(sK70,X0),X0)
| ~ in('ordered$upair'(X1,sK15(sK70,X0)),'relation$uinverse'(sK70))
| X0 = 'relation$udom'(sK70) ),
inference(demodulation,[status(thm)],[d19,d0]) ).
cnf(d21,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ relation(sK70)
| ~ in(sK15(sK70,X0),X0)
| ~ in('ordered$upair'(X1,sK15(sK70,X0)),'relation$uinverse'(sK70))
| X0 = 'relation$udom'(sK70) ),
inference(demodulation,[status(thm)],[d20,d0]) ).
cnf(d22,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in(sK15(sK70,X0),X0)
| ~ in('ordered$upair'(X1,sK15(sK70,X0)),'relation$uinverse'(sK70))
| X0 = 'relation$udom'(sK70) ),
inference(resolution,[status(thm)],[c53,d21]) ).
cnf(d23,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in(sK15(sK70,X0),'relation$udom'(sK70))
| ~ relation('relation$uinverse'(sK70))
| ~ in(sK15(sK70,X0),X0)
| X0 = 'relation$udom'(sK70) ),
inference(resolution,[status(thm)],[d22,d15]) ).
cnf(d24,plain,
( ~ relation(X1)
| ~ in('ordered$upair'(X0,X2),X1)
| in(X0,'relation$udom'(X1)) ),
inference(equality_resolution,[status(thm)],[c9]) ).
cnf(d25,plain,
( ~ relation(X1)
| in('ordered$upair'(sK21(X1,X0),X0),X1)
| ~ in(X0,'relation$urng'(X1)) ),
inference(equality_resolution,[status(thm)],[c14]) ).
cnf(d26,plain,
( ~ relation('relation$uinverse'(X1))
| ~ in(X0,'relation$urng'('relation$uinverse'(X1)))
| ~ relation('relation$uinverse'(X1))
| ~ relation(X1)
| in('ordered$upair'(X0,sK21('relation$uinverse'(X1),X0)),X1) ),
inference(resolution,[status(thm)],[d10,d25]) ).
cnf(d27,plain,
( ~ relation(X1)
| in(X0,'relation$udom'(X1))
| ~ relation('relation$uinverse'(X1))
| ~ relation(X1)
| ~ in(X0,'relation$urng'('relation$uinverse'(X1))) ),
inference(resolution,[status(thm)],[d26,d24]) ).
cnf(d28,plain,
( ~ relation('relation$uinverse'(sK70))
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70)
| ~ relation('relation$uinverse'(sK70))
| ~ relation(sK70)
| in(sK15(sK70,'relation$urng'('relation$uinverse'(sK70))),'relation$udom'(sK70)) ),
inference(resolution,[status(thm)],[d27,d8]) ).
cnf(d29,plain,
( ~ relation('relation$uinverse'(sK70))
| in(sK15(sK70,'relation$urng'('relation$uinverse'(sK70))),'relation$udom'(sK70))
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70) ),
inference(resolution,[status(thm)],[c53,d28]) ).
cnf(d30,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in(sK15(sK70,'relation$urng'('relation$uinverse'(sK70))),'relation$urng'('relation$uinverse'(sK70)))
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70)
| ~ relation('relation$uinverse'(sK70))
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70) ),
inference(resolution,[status(thm)],[d29,d23]) ).
cnf(d31,plain,
( ~ relation('relation$uinverse'(sK70))
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70)
| ~ relation('relation$uinverse'(sK70))
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70) ),
inference(resolution,[status(thm)],[d30,d8]) ).
cnf(d32,plain,
( ~ relation(sK70)
| 'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70) ),
inference(resolution,[status(thm)],[d31,c27]) ).
cnf(d33,plain,
'relation$urng'('relation$uinverse'(sK70)) = 'relation$udom'(sK70),
inference(resolution,[status(thm)],[c53,d32]) ).
cnf(d34,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in('ordered$upair'(X1,X0),sK70)
| ~ relation('relation$uinverse'(sK70))
| in(X0,'relation$udom'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[d24,d3]) ).
cnf(d35,plain,
( ~ relation(sK70)
| in(sK23(sK70,X0),X0)
| X0 = 'relation$urng'(sK70)
| ~ relation('relation$uinverse'(sK70))
| in(sK23(sK70,X0),'relation$udom'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[d34,c17]) ).
cnf(d36,plain,
( ~ relation('relation$uinverse'(sK70))
| in(sK23(sK70,X0),'relation$udom'('relation$uinverse'(sK70)))
| in(sK23(sK70,X0),X0)
| X0 = 'relation$urng'(sK70) ),
inference(resolution,[status(thm)],[c53,d35]) ).
cnf(d37,plain,
( ~ relation('relation$uinverse'(sK70))
| in(sK23(sK70,'relation$udom'('relation$uinverse'(sK70))),'relation$udom'('relation$uinverse'(sK70)))
| 'relation$udom'('relation$uinverse'(sK70)) = 'relation$urng'(sK70) ),
inference(factoring,[status(thm)],[d36]) ).
cnf(d38,plain,
( ~ empty(X1)
| ~ relation('relation$uinverse'(X1))
| ~ relation(X1)
| ~ in(X0,'relation$udom'('relation$uinverse'(X1))) ),
inference(resolution,[status(thm)],[d11,c51]) ).
cnf(d39,plain,
( ~ relation('relation$uinverse'(sK70))
| 'relation$udom'('relation$uinverse'(sK70)) = 'relation$urng'(sK70)
| ~ empty(sK70)
| ~ relation('relation$uinverse'(sK70))
| ~ relation(sK70) ),
inference(resolution,[status(thm)],[d38,d37]) ).
cnf(d40,plain,
( ~ empty(sK70)
| ~ relation('relation$uinverse'(sK70))
| 'relation$udom'('relation$uinverse'(sK70)) = 'relation$urng'(sK70) ),
inference(resolution,[status(thm)],[c53,d39]) ).
cnf(d41,plain,
( ~ relation(sK70)
| ~ empty(sK70)
| 'relation$udom'('relation$uinverse'(sK70)) = 'relation$urng'(sK70) ),
inference(resolution,[status(thm)],[d40,c27]) ).
cnf(d42,plain,
( ~ empty(sK70)
| 'relation$udom'('relation$uinverse'(sK70)) = 'relation$urng'(sK70) ),
inference(resolution,[status(thm)],[c53,d41]) ).
cnf(d43,plain,
( ~ relation('relation$uinverse'(sK70))
| in(X0,'relation$udom'('relation$uinverse'(sK70)))
| ~ relation(sK70)
| ~ in(X0,'relation$urng'(sK70)) ),
inference(resolution,[status(thm)],[d25,d34]) ).
cnf(d44,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in(X0,'relation$urng'(sK70))
| in(X0,'relation$udom'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[c53,d43]) ).
cnf(d45,plain,
( subset(X0,'relation$udom'('relation$uinverse'(sK70)))
| ~ relation('relation$uinverse'(sK70))
| ~ in(sK9(X0,'relation$udom'('relation$uinverse'(sK70))),'relation$urng'(sK70)) ),
inference(resolution,[status(thm)],[d44,c7]) ).
cnf(d46,plain,
( subset('relation$urng'(sK70),'relation$udom'('relation$uinverse'(sK70)))
| ~ relation('relation$uinverse'(sK70))
| subset('relation$urng'(sK70),'relation$udom'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[d45,c6]) ).
cnf(d47,plain,
( ~ subset('relation$udom'('relation$uinverse'(sK70)),'relation$urng'(sK70))
| 'relation$urng'(sK70) = 'relation$udom'('relation$uinverse'(sK70))
| ~ relation('relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[d46,c4]) ).
cnf(d48,plain,
( element('ordered$upair'(X1,X0),'relation$uinverse'(X2))
| ~ relation('relation$uinverse'(X2))
| ~ relation(X2)
| ~ in('ordered$upair'(X0,X1),X2) ),
inference(resolution,[status(thm)],[d16,c44]) ).
cnf(d49,plain,
( ~ relation('relation$uinverse'('relation$uinverse'(sK70)))
| ~ relation('relation$uinverse'(sK70))
| ~ in('ordered$upair'(X1,X0),'relation$uinverse'(sK70))
| element('ordered$upair'(X0,X1),sK70) ),
inference(superposition,[status(thm)],[d0,d48]) ).
cnf(d50,plain,
( element('ordered$upair'(X1,X0),sK70)
| ~ relation('relation$uinverse'(sK70))
| ~ relation(sK70)
| ~ in('ordered$upair'(X0,X1),'relation$uinverse'(sK70)) ),
inference(demodulation,[status(thm)],[d49,d0]) ).
cnf(d51,plain,
( element('ordered$upair'(X1,X0),sK70)
| ~ relation('relation$uinverse'(sK70))
| ~ in('ordered$upair'(X0,X1),'relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[c53,d50]) ).
cnf(d52,plain,
( ~ relation('relation$uinverse'(sK70))
| ~ in(X0,'relation$udom'('relation$uinverse'(sK70)))
| element('ordered$upair'(sK13('relation$uinverse'(sK70),X0),X0),sK70)
| ~ relation('relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[d51,d9]) ).
cnf(d53,plain,
( empty(sK70)
| in('ordered$upair'(sK13('relation$uinverse'(sK70),X0),X0),sK70)
| ~ relation('relation$uinverse'(sK70))
| ~ in(X0,'relation$udom'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[d52,c45]) ).
cnf(d54,plain,
( ~ relation(sK70)
| in(X0,'relation$urng'(sK70))
| empty(sK70)
| ~ relation('relation$uinverse'(sK70))
| ~ in(X0,'relation$udom'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[d53,d4]) ).
cnf(d55,plain,
( empty(sK70)
| ~ relation('relation$uinverse'(sK70))
| in(X0,'relation$urng'(sK70))
| ~ in(X0,'relation$udom'('relation$uinverse'(sK70))) ),
inference(resolution,[status(thm)],[c53,d54]) ).
cnf(d56,plain,
( subset('relation$udom'('relation$uinverse'(sK70)),X0)
| empty(sK70)
| ~ relation('relation$uinverse'(sK70))
| in(sK9('relation$udom'('relation$uinverse'(sK70)),X0),'relation$urng'(sK70)) ),
inference(resolution,[status(thm)],[d55,c6]) ).
cnf(d57,plain,
( subset('relation$udom'('relation$uinverse'(sK70)),'relation$urng'(sK70))
| empty(sK70)
| ~ relation('relation$uinverse'(sK70))
| subset('relation$udom'('relation$uinverse'(sK70)),'relation$urng'(sK70)) ),
inference(resolution,[status(thm)],[d56,c7]) ).
cnf(d58,plain,
( ~ relation('relation$uinverse'(sK70))
| 'relation$urng'(sK70) = 'relation$udom'('relation$uinverse'(sK70))
| empty(sK70)
| ~ relation('relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[d57,d47]) ).
cnf(d59,plain,
( ~ relation(sK70)
| empty(sK70)
| 'relation$urng'(sK70) = 'relation$udom'('relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[d58,c27]) ).
cnf(d60,plain,
( empty(sK70)
| 'relation$urng'(sK70) = 'relation$udom'('relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[c53,d59]) ).
cnf(d61,plain,
( 'relation$udom'('relation$uinverse'(sK70)) = 'relation$urng'(sK70)
| 'relation$urng'(sK70) = 'relation$udom'('relation$uinverse'(sK70)) ),
inference(resolution,[status(thm)],[d60,d42]) ).
cnf(d62,plain,
( 'relation$urng'(sK70) = 'relation$udom'('relation$uinverse'(sK70))
| 'relation$urng'(sK70) != 'relation$urng'(sK70) ),
inference(equality_factoring,[status(thm)],[d61]) ).
cnf(d63,plain,
'relation$urng'(sK70) = 'relation$udom'('relation$uinverse'(sK70)),
inference(equality_resolution,[status(thm)],[d62]) ).
cnf(d64,plain,
'relation$udom'(sK70) != 'relation$urng'('relation$uinverse'(sK70)),
inference(resolution,[status(thm)],[d63,c54]) ).
cnf(d65,plain,
'relation$udom'(sK70) != 'relation$udom'(sK70),
inference(demodulation,[status(thm)],[d64,d33]) ).
cnf(d66,plain,
$false,
inference(equality_resolution,[status(thm)],[d65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU181+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 08:44:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.13/8.61 % SZS status Theorem for theBenchmark.p
% 49.13/8.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------