%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN347+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 09:21:54 AM UTC 2026
% Result : Theorem 9.68s 1.64s
% Output : CNFRefutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 20 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_3,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4] :
( ( 'big$uf'(X0,X4)
<=> 'big$uf'(X1,X4) )
| ( ( 'big$uf'(X2,X4)
<=> 'big$uf'(X3,X4) )
<=> 'big$uf'(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4] :
( ( 'big$uf'(X0,X4)
<=> 'big$uf'(X1,X4) )
| ( ( 'big$uf'(X2,X4)
<=> 'big$uf'(X3,X4) )
<=> 'big$uf'(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[church_46_17_3]) ).
cnf(c4,plain,
( 'big$uf'(sK0,sK1)
| 'big$uf'(X1,sK4(X0,X1))
| ~ 'big$uf'(X0,sK4(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
( 'big$uf'(sK0,sK1)
| ~ 'big$uf'(X1,sK4(X0,X1))
| 'big$uf'(X0,sK4(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
( 'big$uf'(X1,sK4(X0,X1))
| 'big$uf'(X0,sK4(X0,X1))
| ~ 'big$uf'(sK0,sK1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( ~ 'big$uf'(X1,sK4(X1,X0))
| ~ 'big$uf'(X0,sK4(X1,X0))
| ~ 'big$uf'(sK0,sK1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
( 'big$uf'(sK1,sK4(X0,X1))
| 'big$uf'(sK0,sK4(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
( ~ 'big$uf'(sK0,sK4(X0,X1))
| ~ 'big$uf'(sK1,sK4(X0,X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'big$uf'(sK0,sK4(X0,sK1))
| 'big$uf'(sK0,sK1)
| 'big$uf'(X0,sK4(X0,sK1)) ),
inference(resolution,[status(thm)],[c9,c16]) ).
cnf(d1,plain,
( 'big$uf'(sK0,sK1)
| 'big$uf'(sK0,sK4(sK0,sK1)) ),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ 'big$uf'(sK0,sK1)
| 'big$uf'(X0,sK4(X0,X0)) ),
inference(factoring,[status(thm)],[c11]) ).
cnf(d3,plain,
( ~ 'big$uf'(sK0,sK1)
| ~ 'big$uf'(X0,sK4(X0,X0))
| ~ 'big$uf'(sK0,sK1) ),
inference(resolution,[status(thm)],[d2,c12]) ).
cnf(d4,plain,
( ~ 'big$uf'(sK0,sK1)
| ~ 'big$uf'(sK0,sK1) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
'big$uf'(sK0,sK4(sK0,sK1)),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( ~ 'big$uf'(X1,sK4(X1,X0))
| 'big$uf'(X0,sK4(X1,X0)) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d7,plain,
'big$uf'(sK1,sK4(sK0,sK1)),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
~ 'big$uf'(sK0,sK4(sK0,sK1)),
inference(resolution,[status(thm)],[d7,c17]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d5,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN347+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.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 : Sat Sep 26 17:36:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.68/1.64 % SZS status Theorem for theBenchmark.p
% 9.68/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------