%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO607+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 09:46:47 AM UTC 2026
% Result : Theorem 17.52s 3.16s
% Output : CNFRefutation 17.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 74 ( 5 unt; 0 def)
% Number of atoms : 393 ( 0 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 361 ( 42 ~; 297 |; 20 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 213 ( 74 sgn 12 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(true_only_g,axiom,
! [X0,X1] :
( 'g$utrue$uonly'(X0,X1)
<=> ( ~ 'g$ufalse'(X0,X1)
& 'g$utrue'(X0,X1) ) ) ).
fof(false_only_g,axiom,
! [X0,X1] :
( 'g$ufalse$uonly'(X0,X1)
<=> ( ~ 'g$utrue'(X0,X1)
& 'g$ufalse'(X0,X1) ) ) ).
fof(exhaustion_g,axiom,
! [X0,X1] :
( 'g$ufalse$uonly'(X0,X1)
| 'g$uboth'(X0,X1)
| 'g$utrue$uonly'(X0,X1) ) ).
fof(nc6,conjecture,
( ( ~ ? [X0] :
! [X1] : 'g$utrue$uonly'(X0,X1)
& ? [X0] :
( ~ ? [X1] : 'g$ufalse$uonly'(X0,X1)
& ? [X1] : 'g$uboth'(X0,X1) )
& ~ ? [X0] :
( ? [X1] : 'g$ufalse$uonly'(X0,X1)
& 'g$ufalse$uonly'(a,X0) )
& ? [X0] :
( ~ ! [X1] : 'g$utrue$uonly'(X0,X1)
& ~ 'g$utrue$uonly'(a,X0)
& ( ( ~ ? [X1] : 'g$ufalse$uonly'(X0,X1)
& ? [X1] : 'g$uboth'(X0,X1) )
| 'g$uboth'(a,X0) ) ) )
| ? [X0] :
! [X1] : 'g$utrue$uonly'(X0,X1)
| ? [X0] :
( ? [X1] : 'g$ufalse$uonly'(X0,X1)
& 'g$ufalse$uonly'(a,X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ~ ? [X0] :
! [X1] : 'g$utrue$uonly'(X0,X1)
& ? [X0] :
( ~ ? [X1] : 'g$ufalse$uonly'(X0,X1)
& ? [X1] : 'g$uboth'(X0,X1) )
& ~ ? [X0] :
( ? [X1] : 'g$ufalse$uonly'(X0,X1)
& 'g$ufalse$uonly'(a,X0) )
& ? [X0] :
( ~ ! [X1] : 'g$utrue$uonly'(X0,X1)
& ~ 'g$utrue$uonly'(a,X0)
& ( ( ~ ? [X1] : 'g$ufalse$uonly'(X0,X1)
& ? [X1] : 'g$uboth'(X0,X1) )
| 'g$uboth'(a,X0) ) ) )
| ? [X0] :
! [X1] : 'g$utrue$uonly'(X0,X1)
| ? [X0] :
( ? [X1] : 'g$ufalse$uonly'(X0,X1)
& 'g$ufalse$uonly'(a,X0) ) ),
inference(negate_conjecture,[status(cth)],[nc6]) ).
cnf(c1,plain,
( ~ 'g$ufalse'(X0,X1)
| ~ 'g$utrue$uonly'(X0,X1) ),
inference(clausification,[status(esa)],[true_only_g]) ).
cnf(c6,plain,
( 'g$ufalse'(X0,X1)
| ~ 'g$ufalse$uonly'(X0,X1) ),
inference(clausification,[status(esa)],[false_only_g]) ).
cnf(c9,plain,
( 'g$ufalse$uonly'(X0,X1)
| 'g$uboth'(X0,X1)
| 'g$utrue$uonly'(X0,X1) ),
inference(clausification,[status(esa)],[exhaustion_g]) ).
cnf(c10,plain,
( ~ 'g$ufalse$uonly'(X0,X1)
| ~ 'g$ufalse$uonly'(a,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
~ 'g$utrue$uonly'(X0,sK11(X0)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( 'g$utrue$uonly'(X0,X4)
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X2,sK20(X2))
| 'g$utrue$uonly'(a,X0)
| ~ 'g$uboth'(X2,X3)
| 'g$utrue$uonly'(sK21,X1)
| ~ 'g$uboth'(a,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
( 'g$ufalse$uonly'(X3,sK20(X3))
| 'g$utrue$uonly'(a,X0)
| ~ 'g$uboth'(X3,X4)
| 'g$utrue$uonly'(sK21,X2)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(X0,X1)
| ~ 'g$uboth'(a,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
( 'g$utrue$uonly'(sK21,X5)
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$utrue$uonly'(X0,X4)
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X2,sK20(X2))
| 'g$utrue$uonly'(a,X0)
| ~ 'g$uboth'(X2,X3)
| ~ 'g$uboth'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
( 'g$utrue$uonly'(sK21,X5)
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$ufalse$uonly'(X3,sK20(X3))
| 'g$utrue$uonly'(a,X0)
| ~ 'g$uboth'(X3,X4)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(X0,X2)
| ~ 'g$uboth'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X3,sK20(X3))
| ~ 'g$uboth'(X3,X4)
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[c9,c13]) ).
cnf(d1,plain,
( 'g$ufalse$uonly'(X3,X4)
| 'g$utrue$uonly'(X3,X4)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$ufalse$uonly'(X3,sK20(X3))
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1)
| 'g$utrue$uonly'(a,X0) ),
inference(factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(sK21,X1)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d2,c11]) ).
cnf(d4,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d3,c11]) ).
cnf(d5,plain,
( 'g$ufalse'(a,sK20(a))
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
( ~ 'g$utrue$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,sK20(a)) ),
inference(factoring,[status(thm)],[d4]) ).
cnf(d8,plain,
( ~ 'g$ufalse$uonly'(sK20(a),X0)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(a,sK20(a)) ),
inference(resolution,[status(thm)],[d7,c10]) ).
cnf(d9,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X2)
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X2)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d1,c11]) ).
cnf(d10,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X1)
| 'g$ufalse$uonly'(sK20(a),sK20(sK20(a)))
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X1)
| 'g$utrue$uonly'(sK20(a),X0) ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(sK20(a),X2)
| 'g$utrue$uonly'(sK21,X1)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(sK21,X1)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d11,c11]) ).
cnf(d13,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d12,c11]) ).
cnf(d14,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X1)
| 'g$utrue$uonly'(a,X1)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d13,d6]) ).
cnf(d15,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(factoring,[status(thm)],[d14]) ).
cnf(d16,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X3,sK20(X3))
| ~ 'g$uboth'(X3,X4)
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[c9,c12]) ).
cnf(d17,plain,
( 'g$ufalse$uonly'(X3,X4)
| 'g$utrue$uonly'(X3,X4)
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$ufalse$uonly'(X3,sK20(X3))
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d16,c9]) ).
cnf(d18,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X2)
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X2)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d17,c11]) ).
cnf(d19,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(sK21,X1)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(factoring,[status(thm)],[d18]) ).
cnf(d20,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d19,c11]) ).
cnf(d21,plain,
( 'g$ufalse'(a,sK20(a))
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d20,c6]) ).
cnf(d22,plain,
( ~ 'g$utrue$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,sK20(a)) ),
inference(factoring,[status(thm)],[d20]) ).
cnf(d24,plain,
( ~ 'g$ufalse$uonly'(sK20(a),X0)
| 'g$ufalse$uonly'(a,sK16)
| 'g$utrue$uonly'(a,sK20(a)) ),
inference(resolution,[status(thm)],[d23,c10]) ).
cnf(d25,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X2)
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(a,X2)
| 'g$utrue$uonly'(X2,X3)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d17,c11]) ).
cnf(d26,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$ufalse$uonly'(sK20(a),sK20(sK20(a)))
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(sK20(a),X2)
| 'g$utrue$uonly'(X0,X1)
| 'g$ufalse$uonly'(a,sK16)
| 'g$utrue$uonly'(a,sK20(a)) ),
inference(resolution,[status(thm)],[d24,d25]) ).
cnf(d27,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(sK20(a),X2)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d26,d24]) ).
cnf(d28,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d27,c11]) ).
cnf(d29,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,sK20(a))
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d28,c11]) ).
cnf(d30,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X1)
| 'g$utrue$uonly'(a,X1)
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d29,d22]) ).
cnf(d31,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(factoring,[status(thm)],[d30]) ).
cnf(d32,plain,
( ~ 'g$ufalse$uonly'(sK16,X1)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d31,c10]) ).
cnf(d33,plain,
( 'g$ufalse$uonly'(a,X1)
| 'g$utrue$uonly'(a,X1)
| 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d32,d15]) ).
cnf(d34,plain,
( 'g$ufalse$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(a,X0) ),
inference(factoring,[status(thm)],[d33]) ).
cnf(d35,plain,
( ~ 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d34,c10]) ).
cnf(d36,plain,
( ~ 'g$ufalse$uonly'(X0,X1)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d15,c10]) ).
cnf(d37,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$ufalse$uonly'(X4,sK20(X4))
| ~ 'g$uboth'(X4,X5)
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X2)
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[c9,c15]) ).
cnf(d38,plain,
( 'g$ufalse$uonly'(X4,X5)
| 'g$utrue$uonly'(X4,X5)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$ufalse$uonly'(X0,X2)
| 'g$ufalse$uonly'(X4,sK20(X4))
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X2)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d37,c9]) ).
cnf(d39,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X2,sK14(X2))
| 'g$ufalse$uonly'(X2,X3)
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X4)
| 'g$utrue$uonly'(a,X2)
| 'g$utrue$uonly'(X2,X3)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d38,c11]) ).
cnf(d40,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1)
| 'g$utrue$uonly'(X0,X1) ),
inference(factoring,[status(thm)],[d39]) ).
cnf(d41,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(a,X0)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d40,d36]) ).
cnf(d42,plain,
( 'g$utrue$uonly'(a,X0)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d41,d35]) ).
cnf(d43,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d42,c11]) ).
cnf(d44,plain,
( 'g$utrue$uonly'(a,X0)
| 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d43,d35]) ).
cnf(d45,plain,
( 'g$ufalse$uonly'(sK16,sK17)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d44,c11]) ).
cnf(d46,plain,
'g$ufalse$uonly'(sK16,sK17),
inference(resolution,[status(thm)],[d45,c11]) ).
cnf(d47,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$ufalse$uonly'(X4,sK20(X4))
| ~ 'g$uboth'(X4,X5)
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X2)
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[c9,c14]) ).
cnf(d48,plain,
( 'g$ufalse$uonly'(X4,X5)
| 'g$utrue$uonly'(X4,X5)
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$ufalse$uonly'(X0,X2)
| 'g$ufalse$uonly'(X4,sK20(X4))
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X2)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d47,c9]) ).
cnf(d49,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X0,sK14(X0))
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X2)
| 'g$utrue$uonly'(X0,X1)
| 'g$utrue$uonly'(X0,X1) ),
inference(factoring,[status(thm)],[d48]) ).
cnf(d50,plain,
( ~ 'g$ufalse$uonly'(X0,X1)
| 'g$ufalse$uonly'(a,sK16)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d31,c10]) ).
cnf(d51,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X0,sK20(X0))
| 'g$ufalse$uonly'(X0,X2)
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X2)
| 'g$utrue$uonly'(X0,X1)
| 'g$ufalse$uonly'(a,sK16)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d50,d49]) ).
cnf(d52,plain,
( 'g$utrue$uonly'(a,X0)
| 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X3)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X2)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d51,d35]) ).
cnf(d53,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(sK21,X2)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d52,c11]) ).
cnf(d54,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$ufalse$uonly'(X0,X1)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d53,c11]) ).
cnf(d55,plain,
( 'g$utrue$uonly'(a,X0)
| 'g$ufalse$uonly'(a,sK16)
| 'g$utrue$uonly'(a,X0)
| 'g$utrue$uonly'(X0,X1) ),
inference(resolution,[status(thm)],[d54,d35]) ).
cnf(d56,plain,
( 'g$ufalse$uonly'(a,sK16)
| 'g$utrue$uonly'(a,X0) ),
inference(resolution,[status(thm)],[d55,c11]) ).
cnf(d57,plain,
'g$ufalse$uonly'(a,sK16),
inference(resolution,[status(thm)],[d56,c11]) ).
cnf(d58,plain,
~ 'g$ufalse$uonly'(sK16,X0),
inference(resolution,[status(thm)],[d57,c10]) ).
cnf(d59,plain,
$false,
inference(resolution,[status(thm)],[d58,d46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO607+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 19:38:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.52/3.16 % SZS status Theorem for theBenchmark.p
% 17.52/3.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------