%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU375+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 : n005.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 16.00s 7.99s
% Output : CNFRefutation 16.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 68 ( 25 unt; 0 def)
% Number of atoms : 239 ( 11 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 300 ( 129 ~; 119 |; 18 &)
% ( 1 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 66 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d9_yellow_6,axiom,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( 'net$ustr'(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ( 'full$usubnetstr'(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& 'full$usubrelstr'(X2,X1) ) ) ) ) ) ).
fof(dt_l1_orders_2,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> 'one$usorted$ustr'(X0) ) ).
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(fc1_struct_0,axiom,
! [X0] :
( ( 'one$usorted$ustr'(X0)
& ~ 'empty$ucarrier'(X0) )
=> ~ empty('the$ucarrier'(X0)) ) ).
fof(t2_subset,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ) ).
fof(t61_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( ( subrelstr(X1,X0)
& 'full$usubrelstr'(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))
=> ( ( in(X5,'the$ucarrier'(X1))
& in(X4,'the$ucarrier'(X1))
& related(X0,X2,X3)
& X5 = X3
& X4 = X2 )
=> related(X1,X4,X5) ) ) ) ) ) ) ) ).
fof(t21_yellow_6,conjecture,
! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( ( 'net$ustr'(X1,X0)
& ~ 'empty$ucarrier'(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& 'full$usubnetstr'(X2,X0,X1)
& ~ 'empty$ucarrier'(X2) )
=> ! [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(X1,X3,X4)
& X4 = X6
& X3 = X5 )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'one$usorted$ustr'(X0)
=> ! [X1] :
( ( 'net$ustr'(X1,X0)
& ~ 'empty$ucarrier'(X1) )
=> ! [X2] :
( ( subnetstr(X2,X0,X1)
& 'full$usubnetstr'(X2,X0,X1)
& ~ 'empty$ucarrier'(X2) )
=> ! [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(X1,X3,X4)
& X4 = X6
& X3 = X5 )
=> related(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t21_yellow_6]) ).
cnf(c8,plain,
( ~ subnetstr(X0,X2,X1)
| ~ 'net$ustr'(X1,X2)
| ~ 'full$usubnetstr'(X0,X2,X1)
| ~ 'one$usorted$ustr'(X2)
| 'full$usubrelstr'(X0,X1) ),
inference(clausification,[status(esa)],[d9_yellow_6]) ).
cnf(c9,plain,
( ~ subnetstr(X0,X2,X1)
| ~ 'net$ustr'(X1,X2)
| ~ 'full$usubnetstr'(X0,X2,X1)
| ~ 'one$usorted$ustr'(X2)
| subrelstr(X0,X1) ),
inference(clausification,[status(esa)],[d9_yellow_6]) ).
cnf(c11,plain,
( 'one$usorted$ustr'(X0)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_l1_orders_2]) ).
cnf(c12,plain,
( 'rel$ustr'(X1)
| ~ 'net$ustr'(X1,X0)
| ~ 'one$usorted$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_l1_waybel_0]) ).
cnf(c14,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(c24,plain,
( ~ empty('the$ucarrier'(X0))
| ~ 'one$usorted$ustr'(X0)
| 'empty$ucarrier'(X0) ),
inference(clausification,[status(esa)],[fc1_struct_0]) ).
cnf(c50,plain,
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(clausification,[status(esa)],[t2_subset]) ).
cnf(c51,plain,
( ~ element(X4,'the$ucarrier'(X3))
| ~ related(X1,X5,X0)
| ~ element(X5,'the$ucarrier'(X1))
| X2 != X0
| ~ 'full$usubrelstr'(X3,X1)
| X4 != X5
| ~ in(X2,'the$ucarrier'(X3))
| ~ 'rel$ustr'(X1)
| ~ subrelstr(X3,X1)
| ~ in(X4,'the$ucarrier'(X3))
| related(X3,X4,X2)
| ~ element(X2,'the$ucarrier'(X3))
| ~ element(X0,'the$ucarrier'(X1)) ),
inference(clausification,[status(esa)],[t61_yellow_0]) ).
cnf(c55,plain,
'one$usorted$ustr'(sK54),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
'net$ustr'(sK55,sK54),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c58,plain,
~ 'empty$ucarrier'(sK56),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c59,plain,
'full$usubnetstr'(sK56,sK54,sK55),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c60,plain,
subnetstr(sK56,sK54,sK55),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c61,plain,
element(sK57,'the$ucarrier'(sK55)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c62,plain,
element(sK58,'the$ucarrier'(sK55)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c63,plain,
element(sK59,'the$ucarrier'(sK56)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c64,plain,
element(sK60,'the$ucarrier'(sK56)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c65,plain,
sK57 = sK59,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c66,plain,
sK58 = sK60,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c67,plain,
related(sK55,sK57,sK58),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c68,plain,
~ related(sK56,sK59,sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
element(sK57,'the$ucarrier'(sK56)),
inference(demodulation,[status(thm)],[c63,c65]) ).
cnf(d1,plain,
( empty('the$ucarrier'(sK56))
| in(sK57,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[c50,d0]) ).
cnf(d2,plain,
element(sK58,'the$ucarrier'(sK56)),
inference(demodulation,[status(thm)],[c64,c66]) ).
cnf(d3,plain,
( empty('the$ucarrier'(sK56))
| in(sK58,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[c50,d2]) ).
cnf(d4,plain,
( related(X2,X0,X3)
| ~ related(X4,X1,X3)
| ~ element(X3,'the$ucarrier'(X2))
| ~ element(X3,'the$ucarrier'(X4))
| ~ element(X0,'the$ucarrier'(X2))
| ~ element(X1,'the$ucarrier'(X4))
| ~ subrelstr(X2,X4)
| ~ 'full$usubrelstr'(X2,X4)
| ~ 'rel$ustr'(X4)
| ~ in(X3,'the$ucarrier'(X2))
| ~ in(X0,'the$ucarrier'(X2))
| X0 != X1 ),
inference(equality_resolution,[status(thm)],[c51]) ).
cnf(d5,plain,
( related(X1,X2,X0)
| ~ related(X3,X2,X0)
| ~ element(X2,'the$ucarrier'(X1))
| ~ element(X2,'the$ucarrier'(X3))
| ~ element(X0,'the$ucarrier'(X1))
| ~ element(X0,'the$ucarrier'(X3))
| ~ subrelstr(X1,X3)
| ~ 'full$usubrelstr'(X1,X3)
| ~ 'rel$ustr'(X3)
| ~ in(X2,'the$ucarrier'(X1))
| ~ in(X0,'the$ucarrier'(X1)) ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( related(X0,sK57,sK58)
| ~ element(sK58,'the$ucarrier'(X0))
| ~ element(sK58,'the$ucarrier'(sK55))
| ~ element(sK57,'the$ucarrier'(X0))
| ~ element(sK57,'the$ucarrier'(sK55))
| ~ subrelstr(X0,sK55)
| ~ 'full$usubrelstr'(X0,sK55)
| ~ 'rel$ustr'(sK55)
| ~ in(sK58,'the$ucarrier'(X0))
| ~ in(sK57,'the$ucarrier'(X0)) ),
inference(resolution,[status(thm)],[d5,c67]) ).
cnf(d7,plain,
( related(X0,sK57,sK58)
| ~ element(sK58,'the$ucarrier'(sK55))
| ~ element(sK58,'the$ucarrier'(X0))
| ~ element(sK57,'the$ucarrier'(X0))
| ~ subrelstr(X0,sK55)
| ~ 'full$usubrelstr'(X0,sK55)
| ~ 'rel$ustr'(sK55)
| ~ in(sK58,'the$ucarrier'(X0))
| ~ in(sK57,'the$ucarrier'(X0)) ),
inference(resolution,[status(thm)],[c61,d6]) ).
cnf(d8,plain,
( related(X0,sK57,sK58)
| ~ element(sK58,'the$ucarrier'(X0))
| ~ element(sK57,'the$ucarrier'(X0))
| ~ subrelstr(X0,sK55)
| ~ 'full$usubrelstr'(X0,sK55)
| ~ 'rel$ustr'(sK55)
| ~ in(sK58,'the$ucarrier'(X0))
| ~ in(sK57,'the$ucarrier'(X0)) ),
inference(resolution,[status(thm)],[c62,d7]) ).
cnf(d9,plain,
( ~ 'one$usorted$ustr'(sK54)
| 'rel$ustr'(sK55) ),
inference(resolution,[status(thm)],[c12,c57]) ).
cnf(d10,plain,
'rel$ustr'(sK55),
inference(resolution,[status(thm)],[c55,d9]) ).
cnf(d11,plain,
( related(X0,sK57,sK58)
| ~ element(sK58,'the$ucarrier'(X0))
| ~ element(sK57,'the$ucarrier'(X0))
| ~ subrelstr(X0,sK55)
| ~ 'full$usubrelstr'(X0,sK55)
| ~ in(sK58,'the$ucarrier'(X0))
| ~ in(sK57,'the$ucarrier'(X0)) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( related(sK56,sK57,sK58)
| ~ element(sK57,'the$ucarrier'(sK56))
| ~ subrelstr(sK56,sK55)
| ~ 'full$usubrelstr'(sK56,sK55)
| ~ in(sK58,'the$ucarrier'(sK56))
| ~ in(sK57,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
( related(sK56,sK57,sK58)
| ~ subrelstr(sK56,sK55)
| ~ 'full$usubrelstr'(sK56,sK55)
| ~ in(sK58,'the$ucarrier'(sK56))
| ~ in(sK57,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[d0,d12]) ).
cnf(d14,plain,
~ related(sK56,sK57,sK60),
inference(demodulation,[status(thm)],[c68,c65]) ).
cnf(d15,plain,
~ related(sK56,sK57,sK58),
inference(demodulation,[status(thm)],[d14,c66]) ).
cnf(d16,plain,
( ~ subrelstr(sK56,sK55)
| ~ 'full$usubrelstr'(sK56,sK55)
| ~ in(sK58,'the$ucarrier'(sK56))
| ~ in(sK57,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
( 'full$usubrelstr'(sK56,sK55)
| ~ 'one$usorted$ustr'(sK54)
| ~ 'net$ustr'(sK55,sK54)
| ~ 'full$usubnetstr'(sK56,sK54,sK55) ),
inference(resolution,[status(thm)],[c60,c8]) ).
cnf(d18,plain,
( 'full$usubrelstr'(sK56,sK55)
| ~ 'net$ustr'(sK55,sK54)
| ~ 'full$usubnetstr'(sK56,sK54,sK55) ),
inference(resolution,[status(thm)],[c55,d17]) ).
cnf(d19,plain,
( 'full$usubrelstr'(sK56,sK55)
| ~ 'full$usubnetstr'(sK56,sK54,sK55) ),
inference(resolution,[status(thm)],[c57,d18]) ).
cnf(d20,plain,
'full$usubrelstr'(sK56,sK55),
inference(resolution,[status(thm)],[c59,d19]) ).
cnf(d21,plain,
( ~ subrelstr(sK56,sK55)
| ~ in(sK58,'the$ucarrier'(sK56))
| ~ in(sK57,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[d20,d16]) ).
cnf(d22,plain,
( subrelstr(sK56,sK55)
| ~ 'one$usorted$ustr'(sK54)
| ~ 'net$ustr'(sK55,sK54)
| ~ 'full$usubnetstr'(sK56,sK54,sK55) ),
inference(resolution,[status(thm)],[c9,c60]) ).
cnf(d23,plain,
( subrelstr(sK56,sK55)
| ~ 'net$ustr'(sK55,sK54)
| ~ 'full$usubnetstr'(sK56,sK54,sK55) ),
inference(resolution,[status(thm)],[c55,d22]) ).
cnf(d24,plain,
( subrelstr(sK56,sK55)
| ~ 'full$usubnetstr'(sK56,sK54,sK55) ),
inference(resolution,[status(thm)],[c57,d23]) ).
cnf(d25,plain,
subrelstr(sK56,sK55),
inference(resolution,[status(thm)],[c59,d24]) ).
cnf(d26,plain,
( ~ in(sK58,'the$ucarrier'(sK56))
| ~ in(sK57,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[d25,d21]) ).
cnf(d27,plain,
( empty('the$ucarrier'(sK56))
| ~ in(sK57,'the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[d26,d3]) ).
cnf(d28,plain,
( empty('the$ucarrier'(sK56))
| empty('the$ucarrier'(sK56)) ),
inference(resolution,[status(thm)],[d27,d1]) ).
cnf(d29,plain,
( ~ 'one$usorted$ustr'(sK56)
| 'empty$ucarrier'(sK56) ),
inference(resolution,[status(thm)],[d28,c24]) ).
cnf(d30,plain,
~ 'one$usorted$ustr'(sK56),
inference(resolution,[status(thm)],[c58,d29]) ).
cnf(d31,plain,
( ~ 'one$usorted$ustr'(sK54)
| 'net$ustr'(sK56,sK54)
| ~ 'net$ustr'(sK55,sK54) ),
inference(resolution,[status(thm)],[c14,c60]) ).
cnf(d32,plain,
( 'net$ustr'(sK56,sK54)
| ~ 'net$ustr'(sK55,sK54) ),
inference(resolution,[status(thm)],[c55,d31]) ).
cnf(d33,plain,
'net$ustr'(sK56,sK54),
inference(resolution,[status(thm)],[c57,d32]) ).
cnf(d34,plain,
( ~ 'one$usorted$ustr'(sK54)
| 'rel$ustr'(sK56) ),
inference(resolution,[status(thm)],[d33,c12]) ).
cnf(d35,plain,
'rel$ustr'(sK56),
inference(resolution,[status(thm)],[c55,d34]) ).
cnf(d36,plain,
'one$usorted$ustr'(sK56),
inference(resolution,[status(thm)],[d35,c11]) ).
cnf(d37,plain,
$false,
inference(resolution,[status(thm)],[d36,d30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU375+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
% 0.11/5.58 % Computer : n005.cluster.edu
% 0.11/5.58 % Model : x86_64 x86_64
% 0.11/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.58 % Memory : 8046.5625MB
% 0.11/5.58 % OS : Linux 6.8.0-71-generic
% 0.11/5.58 % CPULimit : 300
% 0.11/5.58 % WCLimit : 300
% 0.11/5.58 % DateTime : Sat Sep 26 09:21:53 UTC 2026
% 0.11/5.58 % CPUTime :
% 0.11/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.00/7.99 % SZS status Theorem for theBenchmark.p
% 16.00/7.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------