%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU374+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 08:41:49 AM UTC 2026
% Result : Theorem 16.73s 3.96s
% Output : CNFRefutation 16.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 147 ( 12 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 171 ( 68 ~; 64 |; 8 &)
% ( 1 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 54 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_yellow_6,axiom,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> ! [X2] :
( 'net$ustr'(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( 'the$umapping'(X0,X2) = 'relation$udom$urestr$uas$urelation$uof'('the$ucarrier'(X1),'the$ucarrier'(X0),'the$umapping'(X0,X1),'the$ucarrier'(X2))
& subrelstr(X2,X1) ) ) ) ) ) ).
fof(dt_l1_waybel_0,axiom,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> 'rel$ustr'(X1) ) ) ).
fof(dt_m1_yellow_6,axiom,
! [X0,X1] :
( ( 'net$ustr'(X1,X0)
& 'one$usorted$ustr'(X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> 'net$ustr'(X2,X0) ) ) ).
fof(t60_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,'the$ucarrier'(X0))
=> ! [X3] :
( element(X3,'the$ucarrier'(X0))
=> ! [X4] :
( element(X4,'the$ucarrier'(X1))
=> ! [X5] :
( element(X5,'the$ucarrier'(X1))
=> ( ( related(X1,X4,X5)
& X5 = X3
& X4 = X2 )
=> related(X0,X2,X3) ) ) ) ) ) ) ) ).
fof(t20_yellow_6,conjecture,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ! [X3] :
( element(X3,'the$ucarrier'(X1))
=> ! [X4] :
( element(X4,'the$ucarrier'(X1))
=> ! [X5] :
( element(X5,'the$ucarrier'(X2))
=> ! [X6] :
( element(X6,'the$ucarrier'(X2))
=> ( ( related(X2,X5,X6)
& X4 = X6
& X3 = X5 )
=> related(X1,X3,X4) ) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ! [X3] :
( element(X3,'the$ucarrier'(X1))
=> ! [X4] :
( element(X4,'the$ucarrier'(X1))
=> ! [X5] :
( element(X5,'the$ucarrier'(X2))
=> ! [X6] :
( element(X6,'the$ucarrier'(X2))
=> ( ( related(X2,X5,X6)
& X4 = X6
& X3 = X5 )
=> related(X1,X3,X4) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t20_yellow_6]) ).
cnf(c7,plain,
( ~ 'net$ustr'(X0,X2)
| ~ subnetstr(X0,X2,X1)
| ~ 'net$ustr'(X1,X2)
| ~ 'one$usorted$ustr'(X2)
| subrelstr(X0,X1) ),
inference(clausification,[status(esa)],[d8_yellow_6]) ).
cnf(c13,plain,
( 'rel$ustr'(X1)
| ~ 'net$ustr'(X1,X0)
| ~ 'one$usorted$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_l1_waybel_0]) ).
cnf(c15,plain,
( 'net$ustr'(X2,X0)
| ~ subnetstr(X2,X0,X1)
| ~ 'net$ustr'(X1,X0)
| ~ 'one$usorted$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_m1_yellow_6]) ).
cnf(c73,plain,
( ~ element(X5,'the$ucarrier'(X3))
| ~ element(X1,'the$ucarrier'(X0))
| ~ element(X4,'the$ucarrier'(X3))
| X1 != X5
| related(X3,X5,X4)
| ~ element(X2,'the$ucarrier'(X0))
| ~ subrelstr(X0,X3)
| X2 != X4
| ~ 'rel$ustr'(X3)
| ~ related(X0,X1,X2) ),
inference(clausification,[status(esa)],[t60_yellow_0]) ).
cnf(c77,plain,
'one$usorted$ustr'(sK98),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c78,plain,
'net$ustr'(sK99,sK98),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c79,plain,
subnetstr(sK100,sK98,sK99),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c80,plain,
element(sK101,'the$ucarrier'(sK99)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c81,plain,
element(sK102,'the$ucarrier'(sK99)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c82,plain,
element(sK103,'the$ucarrier'(sK100)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c83,plain,
element(sK104,'the$ucarrier'(sK100)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c84,plain,
sK101 = sK103,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c85,plain,
sK102 = sK104,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c86,plain,
related(sK100,sK103,sK104),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c87,plain,
~ related(sK99,sK101,sK102),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
related(sK100,sK101,sK104),
inference(demodulation,[status(thm)],[c86,c84]) ).
cnf(d1,plain,
related(sK100,sK101,sK102),
inference(demodulation,[status(thm)],[d0,c85]) ).
cnf(d2,plain,
( related(X2,X4,X1)
| ~ related(X3,X4,X0)
| ~ 'rel$ustr'(X2)
| ~ subrelstr(X3,X2)
| ~ element(X4,'the$ucarrier'(X3))
| ~ element(X4,'the$ucarrier'(X2))
| ~ element(X0,'the$ucarrier'(X3))
| ~ element(X1,'the$ucarrier'(X2))
| X0 != X1 ),
inference(equality_resolution,[status(thm)],[c73]) ).
cnf(d3,plain,
( related(X2,X0,X3)
| ~ related(X1,X0,X3)
| ~ 'rel$ustr'(X2)
| ~ subrelstr(X1,X2)
| ~ element(X3,'the$ucarrier'(X1))
| ~ element(X3,'the$ucarrier'(X2))
| ~ element(X0,'the$ucarrier'(X2))
| ~ element(X0,'the$ucarrier'(X1)) ),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( related(X0,sK101,sK102)
| ~ 'rel$ustr'(X0)
| ~ subrelstr(sK100,X0)
| ~ element(sK101,'the$ucarrier'(sK100))
| ~ element(sK101,'the$ucarrier'(X0))
| ~ element(sK102,'the$ucarrier'(sK100))
| ~ element(sK102,'the$ucarrier'(X0)) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
element(sK101,'the$ucarrier'(sK100)),
inference(demodulation,[status(thm)],[c82,c84]) ).
cnf(d6,plain,
( related(X0,sK101,sK102)
| ~ 'rel$ustr'(X0)
| ~ subrelstr(sK100,X0)
| ~ element(sK102,'the$ucarrier'(sK100))
| ~ element(sK102,'the$ucarrier'(X0))
| ~ element(sK101,'the$ucarrier'(X0)) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
element(sK102,'the$ucarrier'(sK100)),
inference(demodulation,[status(thm)],[c83,c85]) ).
cnf(d8,plain,
( related(X0,sK101,sK102)
| ~ 'rel$ustr'(X0)
| ~ subrelstr(sK100,X0)
| ~ element(sK102,'the$ucarrier'(X0))
| ~ element(sK101,'the$ucarrier'(X0)) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( related(sK99,sK101,sK102)
| ~ 'rel$ustr'(sK99)
| ~ subrelstr(sK100,sK99)
| ~ element(sK101,'the$ucarrier'(sK99)) ),
inference(resolution,[status(thm)],[d8,c81]) ).
cnf(d10,plain,
( related(sK99,sK101,sK102)
| ~ 'rel$ustr'(sK99)
| ~ subrelstr(sK100,sK99) ),
inference(resolution,[status(thm)],[c80,d9]) ).
cnf(d11,plain,
( ~ 'rel$ustr'(sK99)
| ~ subrelstr(sK100,sK99) ),
inference(resolution,[status(thm)],[c87,d10]) ).
cnf(d12,plain,
( 'rel$ustr'(sK99)
| ~ 'one$usorted$ustr'(sK98) ),
inference(resolution,[status(thm)],[c13,c78]) ).
cnf(d13,plain,
'rel$ustr'(sK99),
inference(resolution,[status(thm)],[c77,d12]) ).
cnf(d14,plain,
~ subrelstr(sK100,sK99),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( subrelstr(sK100,sK99)
| ~ 'one$usorted$ustr'(sK98)
| ~ 'net$ustr'(sK99,sK98)
| ~ 'net$ustr'(sK100,sK98) ),
inference(resolution,[status(thm)],[c7,c79]) ).
cnf(d16,plain,
( subrelstr(sK100,sK99)
| ~ 'net$ustr'(sK100,sK98)
| ~ 'net$ustr'(sK99,sK98) ),
inference(resolution,[status(thm)],[c77,d15]) ).
cnf(d17,plain,
( subrelstr(sK100,sK99)
| ~ 'net$ustr'(sK100,sK98) ),
inference(resolution,[status(thm)],[c78,d16]) ).
cnf(d18,plain,
( ~ 'one$usorted$ustr'(sK98)
| 'net$ustr'(sK100,sK98)
| ~ 'net$ustr'(sK99,sK98) ),
inference(resolution,[status(thm)],[c15,c79]) ).
cnf(d19,plain,
( 'net$ustr'(sK100,sK98)
| ~ 'net$ustr'(sK99,sK98) ),
inference(resolution,[status(thm)],[c77,d18]) ).
cnf(d20,plain,
'net$ustr'(sK100,sK98),
inference(resolution,[status(thm)],[c78,d19]) ).
cnf(d21,plain,
subrelstr(sK100,sK99),
inference(resolution,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
$false,
inference(resolution,[status(thm)],[d21,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU374+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n017.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 09:17:03 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.73/3.96 % SZS status Theorem for theBenchmark.p
% 16.73/3.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------