%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU020+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:40:46 AM UTC 2026
% Result : Theorem 12.08s 2.15s
% Output : CNFRefutation 12.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 94 ( 14 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 107 ( 44 ~; 41 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( 'relation$udom'('relation$ucomposition'(X1,X0)) = 'relation$udom'(X1)
=> subset('relation$urng'(X1),'relation$udom'(X0)) ) ) ) ).
fof(t47_funct_1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( subset('relation$urng'(X1),'relation$udom'(X0))
& 'one$uto$uone'('relation$ucomposition'(X1,X0)) )
=> 'one$uto$uone'(X1) ) ) ) ).
fof(t52_funct_1,axiom,
! [X0] : 'one$uto$uone'('identity$urelation'(X0)) ).
fof(t71_relat_1,axiom,
! [X0] :
( 'relation$urng'('identity$urelation'(X0)) = X0
& 'relation$udom'('identity$urelation'(X0)) = X0 ) ).
fof(t53_funct_1,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( 'relation$ucomposition'(X0,X1) = 'identity$urelation'('relation$udom'(X0))
& function(X1)
& relation(X1) )
=> 'one$uto$uone'(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ? [X1] :
( 'relation$ucomposition'(X0,X1) = 'identity$urelation'('relation$udom'(X0))
& function(X1)
& relation(X1) )
=> 'one$uto$uone'(X0) ) ),
inference(negate_conjecture,[status(cth)],[t53_funct_1]) ).
cnf(c43,plain,
( subset('relation$urng'(X0),'relation$udom'(X1))
| 'relation$udom'('relation$ucomposition'(X0,X1)) != 'relation$udom'(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t27_funct_1]) ).
cnf(c47,plain,
( ~ function(X1)
| ~ relation(X1)
| ~ subset('relation$urng'(X0),'relation$udom'(X1))
| ~ 'one$uto$uone'('relation$ucomposition'(X0,X1))
| ~ function(X0)
| 'one$uto$uone'(X0)
| ~ relation(X0) ),
inference(clausification,[status(esa)],[t47_funct_1]) ).
cnf(c49,plain,
'one$uto$uone'('identity$urelation'(X0)),
inference(clausification,[status(esa)],[t52_funct_1]) ).
cnf(c52,plain,
'relation$udom'('identity$urelation'(X0)) = X0,
inference(clausification,[status(esa)],[t71_relat_1]) ).
cnf(c56,plain,
relation(sK56),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
function(sK56),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c58,plain,
relation(sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c59,plain,
function(sK57),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c60,plain,
'relation$ucomposition'(sK56,sK57) = 'identity$urelation'('relation$udom'(sK56)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c61,plain,
~ 'one$uto$uone'(sK56),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'relation$udom'('relation$ucomposition'(sK56,sK57)) = 'relation$udom'(sK56),
inference(superposition,[status(thm)],[c60,c52]) ).
cnf(d1,plain,
( subset('relation$urng'(sK56),'relation$udom'(sK57))
| ~ relation(sK57)
| ~ relation(sK56)
| ~ function(sK57)
| ~ function(sK56)
| 'relation$udom'(sK56) != 'relation$udom'(sK56) ),
inference(superposition,[status(thm)],[d0,c43]) ).
cnf(d2,plain,
( subset('relation$urng'(sK56),'relation$udom'(sK57))
| ~ relation(sK57)
| ~ function(sK57)
| ~ function(sK56)
| 'relation$udom'(sK56) != 'relation$udom'(sK56) ),
inference(resolution,[status(thm)],[c56,d1]) ).
cnf(d3,plain,
( subset('relation$urng'(sK56),'relation$udom'(sK57))
| ~ relation(sK57)
| ~ function(sK57)
| 'relation$udom'(sK56) != 'relation$udom'(sK56) ),
inference(resolution,[status(thm)],[c57,d2]) ).
cnf(d4,plain,
( subset('relation$urng'(sK56),'relation$udom'(sK57))
| ~ function(sK57)
| 'relation$udom'(sK56) != 'relation$udom'(sK56) ),
inference(resolution,[status(thm)],[c58,d3]) ).
cnf(d5,plain,
( subset('relation$urng'(sK56),'relation$udom'(sK57))
| 'relation$udom'(sK56) != 'relation$udom'(sK56) ),
inference(resolution,[status(thm)],[c59,d4]) ).
cnf(d6,plain,
subset('relation$urng'(sK56),'relation$udom'(sK57)),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
( ~ 'one$uto$uone'('relation$ucomposition'(sK56,sK57))
| 'one$uto$uone'(sK56)
| ~ relation(sK57)
| ~ relation(sK56)
| ~ function(sK57)
| ~ function(sK56) ),
inference(resolution,[status(thm)],[d6,c47]) ).
cnf(d8,plain,
( 'one$uto$uone'(sK56)
| ~ 'one$uto$uone'('relation$ucomposition'(sK56,sK57))
| ~ relation(sK57)
| ~ function(sK57)
| ~ function(sK56) ),
inference(resolution,[status(thm)],[c56,d7]) ).
cnf(d9,plain,
( 'one$uto$uone'(sK56)
| ~ 'one$uto$uone'('relation$ucomposition'(sK56,sK57))
| ~ relation(sK57)
| ~ function(sK57) ),
inference(resolution,[status(thm)],[c57,d8]) ).
cnf(d10,plain,
( 'one$uto$uone'(sK56)
| ~ 'one$uto$uone'('relation$ucomposition'(sK56,sK57))
| ~ function(sK57) ),
inference(resolution,[status(thm)],[c58,d9]) ).
cnf(d11,plain,
( 'one$uto$uone'(sK56)
| ~ 'one$uto$uone'('relation$ucomposition'(sK56,sK57)) ),
inference(resolution,[status(thm)],[c59,d10]) ).
cnf(d12,plain,
~ 'one$uto$uone'('relation$ucomposition'(sK56,sK57)),
inference(resolution,[status(thm)],[c61,d11]) ).
cnf(d13,plain,
'one$uto$uone'('relation$ucomposition'(sK56,sK57)),
inference(superposition,[status(thm)],[c60,c49]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU020+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.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 08:33:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.08/2.15 % SZS status Theorem for theBenchmark.p
% 12.08/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------