%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU362+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 : n008.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 08:41:47 AM UTC 2026
% Result : Theorem 5.92s 3.18s
% Output : CNFRefutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 68 ( 21 unt; 0 def)
% Number of atoms : 213 ( 6 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 263 ( 118 ~; 110 |; 9 &)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 5 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d13_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( 'rel$ustr'(X1)
=> ( subrelstr(X1,X0)
<=> ( subset('the$uInternalRel'(X1),'the$uInternalRel'(X0))
& subset('the$ucarrier'(X1),'the$ucarrier'(X0)) ) ) ) ) ).
fof(d9_orders_2,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( element(X1,'the$ucarrier'(X0))
=> ! [X2] :
( element(X2,'the$ucarrier'(X0))
=> ( related(X0,X1,X2)
<=> in('ordered$upair'(X1,X2),'the$uInternalRel'(X0)) ) ) ) ) ).
fof(dt_m1_yellow_0,axiom,
! [X0] :
( 'rel$ustr'(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> 'rel$ustr'(X1) ) ) ).
fof(reflexivity_r1_tarski,axiom,
! [X0,X1] : subset(X0,X0) ).
fof(t2_subset,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ) ).
fof(t3_subset,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ) ).
fof(t4_subset,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ) ).
fof(t5_subset,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ) ).
fof(t7_boole,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ) ).
fof(t60_yellow_0,conjecture,
! [X0] :
( 'rel$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(negated_conjecture,negated_conjecture,
~ ! [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$ucarrier'(X1))
=> ( ( related(X1,X4,X5)
& X5 = X3
& X4 = X2 )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t60_yellow_0]) ).
cnf(c5,plain,
( subset('the$uInternalRel'(X1),'the$uInternalRel'(X0))
| ~ subrelstr(X1,X0)
| ~ 'rel$ustr'(X1)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d13_yellow_0]) ).
cnf(c6,plain,
( ~ subset('the$ucarrier'(X1),'the$ucarrier'(X0))
| ~ subset('the$uInternalRel'(X1),'the$uInternalRel'(X0))
| subrelstr(X1,X0)
| ~ 'rel$ustr'(X1)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d13_yellow_0]) ).
cnf(c7,plain,
( ~ related(X0,X1,X2)
| ~ element(X2,'the$ucarrier'(X0))
| ~ element(X1,'the$ucarrier'(X0))
| in('ordered$upair'(X1,X2),'the$uInternalRel'(X0))
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d9_orders_2]) ).
cnf(c8,plain,
( related(X0,X1,X2)
| ~ element(X2,'the$ucarrier'(X0))
| ~ element(X1,'the$ucarrier'(X0))
| ~ in('ordered$upair'(X1,X2),'the$uInternalRel'(X0))
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[d9_orders_2]) ).
cnf(c10,plain,
( 'rel$ustr'(X1)
| ~ subrelstr(X1,X0)
| ~ 'rel$ustr'(X0) ),
inference(clausification,[status(esa)],[dt_m1_yellow_0]) ).
cnf(c33,plain,
subset(X0,X0),
inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(c35,plain,
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(clausification,[status(esa)],[t2_subset]) ).
cnf(c37,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c38,plain,
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t4_subset]) ).
cnf(c39,plain,
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t5_subset]) ).
cnf(c41,plain,
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[t7_boole]) ).
cnf(c43,plain,
'rel$ustr'(sK63),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c44,plain,
subrelstr(sK64,sK63),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c45,plain,
element(sK65,'the$ucarrier'(sK63)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c46,plain,
element(sK66,'the$ucarrier'(sK63)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c47,plain,
element(sK67,'the$ucarrier'(sK64)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c48,plain,
element(sK68,'the$ucarrier'(sK64)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c49,plain,
sK67 = sK65,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c50,plain,
sK68 = sK66,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c51,plain,
related(sK64,sK67,sK68),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c52,plain,
~ related(sK63,sK65,sK66),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
related(sK64,sK65,sK68),
inference(demodulation,[status(thm)],[c51,c49]) ).
cnf(d1,plain,
related(sK64,sK65,sK66),
inference(demodulation,[status(thm)],[d0,c50]) ).
cnf(d2,plain,
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[c38,c37]) ).
cnf(d3,plain,
( ~ subrelstr(X1,X2)
| ~ 'rel$ustr'(X1)
| ~ 'rel$ustr'(X2)
| element(X0,'the$uInternalRel'(X2))
| ~ in(X0,'the$uInternalRel'(X1)) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( ~ related(X3,X0,X1)
| ~ 'rel$ustr'(X3)
| ~ element(X0,'the$ucarrier'(X3))
| ~ element(X1,'the$ucarrier'(X3))
| ~ subrelstr(X3,X2)
| ~ 'rel$ustr'(X3)
| ~ 'rel$ustr'(X2)
| element('ordered$upair'(X0,X1),'the$uInternalRel'(X2)) ),
inference(resolution,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
( ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(X0)
| ~ 'rel$ustr'(sK64)
| element('ordered$upair'(sK65,sK66),'the$uInternalRel'(X0))
| ~ element(sK65,'the$ucarrier'(sK64))
| ~ element(sK66,'the$ucarrier'(sK64)) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
element(sK65,'the$ucarrier'(sK64)),
inference(demodulation,[status(thm)],[c47,c49]) ).
cnf(d7,plain,
( ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(sK64)
| ~ 'rel$ustr'(X0)
| ~ element(sK66,'the$ucarrier'(sK64))
| element('ordered$upair'(sK65,sK66),'the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
element(sK66,'the$ucarrier'(sK64)),
inference(demodulation,[status(thm)],[c48,c50]) ).
cnf(d9,plain,
( ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(sK64)
| ~ 'rel$ustr'(X0)
| element('ordered$upair'(sK65,sK66),'the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( 'rel$ustr'(sK64)
| ~ 'rel$ustr'(sK63) ),
inference(resolution,[status(thm)],[c10,c44]) ).
cnf(d11,plain,
'rel$ustr'(sK64),
inference(resolution,[status(thm)],[c43,d10]) ).
cnf(d12,plain,
( ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(X0)
| element('ordered$upair'(sK65,sK66),'the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
( empty('the$uInternalRel'(X0))
| in('ordered$upair'(sK65,sK66),'the$uInternalRel'(X0))
| ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(X0) ),
inference(resolution,[status(thm)],[d12,c35]) ).
cnf(d14,plain,
( related(X0,sK65,sK66)
| ~ 'rel$ustr'(X0)
| ~ element(sK65,'the$ucarrier'(X0))
| ~ element(sK66,'the$ucarrier'(X0))
| ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(X0)
| empty('the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d13,c8]) ).
cnf(d15,plain,
( related(sK63,sK65,sK66)
| ~ subrelstr(sK64,sK63)
| ~ 'rel$ustr'(sK63)
| ~ element(sK65,'the$ucarrier'(sK63))
| empty('the$uInternalRel'(sK63)) ),
inference(resolution,[status(thm)],[d14,c46]) ).
cnf(d16,plain,
( related(sK63,sK65,sK66)
| ~ subrelstr(sK64,sK63)
| ~ element(sK65,'the$ucarrier'(sK63))
| empty('the$uInternalRel'(sK63)) ),
inference(resolution,[status(thm)],[c43,d15]) ).
cnf(d17,plain,
( related(sK63,sK65,sK66)
| ~ element(sK65,'the$ucarrier'(sK63))
| empty('the$uInternalRel'(sK63)) ),
inference(resolution,[status(thm)],[c44,d16]) ).
cnf(d18,plain,
( related(sK63,sK65,sK66)
| empty('the$uInternalRel'(sK63)) ),
inference(resolution,[status(thm)],[c45,d17]) ).
cnf(d19,plain,
empty('the$uInternalRel'(sK63)),
inference(resolution,[status(thm)],[c52,d18]) ).
cnf(d20,plain,
( ~ subset('the$ucarrier'(X0),'the$ucarrier'(X0))
| subrelstr(X0,X0)
| ~ 'rel$ustr'(X0)
| ~ 'rel$ustr'(X0) ),
inference(resolution,[status(thm)],[c33,c6]) ).
cnf(d21,plain,
( subrelstr(X0,X0)
| ~ 'rel$ustr'(X0) ),
inference(resolution,[status(thm)],[c33,d20]) ).
cnf(d22,plain,
( ~ subset(X1,X2)
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[c39,c37]) ).
cnf(d23,plain,
( ~ subrelstr(X1,X2)
| ~ 'rel$ustr'(X1)
| ~ 'rel$ustr'(X2)
| ~ empty('the$uInternalRel'(X2))
| ~ in(X0,'the$uInternalRel'(X1)) ),
inference(resolution,[status(thm)],[d22,c5]) ).
cnf(d24,plain,
( ~ subrelstr(X0,X1)
| ~ 'rel$ustr'(X0)
| ~ 'rel$ustr'(X1)
| ~ empty('the$uInternalRel'(X1))
| ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(X0)
| empty('the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d13,d23]) ).
cnf(d25,plain,
( ~ 'rel$ustr'(sK64)
| ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(sK64)
| ~ 'rel$ustr'(X0)
| empty('the$uInternalRel'(sK64))
| ~ empty('the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
( ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(X0)
| empty('the$uInternalRel'(sK64))
| ~ empty('the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d11,d25]) ).
cnf(d27,plain,
( ~ related(X0,X2,X1)
| ~ 'rel$ustr'(X0)
| ~ element(X2,'the$ucarrier'(X0))
| ~ element(X1,'the$ucarrier'(X0))
| ~ empty('the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[c41,c7]) ).
cnf(d28,plain,
( ~ 'rel$ustr'(sK64)
| ~ element(sK66,'the$ucarrier'(sK64))
| ~ element(sK65,'the$ucarrier'(sK64))
| ~ empty('the$uInternalRel'(sK64)) ),
inference(resolution,[status(thm)],[d27,d1]) ).
cnf(d29,plain,
( ~ 'rel$ustr'(sK64)
| ~ element(sK66,'the$ucarrier'(sK64))
| ~ empty('the$uInternalRel'(sK64)) ),
inference(resolution,[status(thm)],[d6,d28]) ).
cnf(d30,plain,
( ~ 'rel$ustr'(sK64)
| ~ empty('the$uInternalRel'(sK64)) ),
inference(resolution,[status(thm)],[d8,d29]) ).
cnf(d31,plain,
~ empty('the$uInternalRel'(sK64)),
inference(resolution,[status(thm)],[d11,d30]) ).
cnf(d32,plain,
( ~ subrelstr(sK64,X0)
| ~ 'rel$ustr'(X0)
| ~ empty('the$uInternalRel'(X0)) ),
inference(resolution,[status(thm)],[d31,d26]) ).
cnf(d33,plain,
( ~ 'rel$ustr'(sK63)
| ~ empty('the$uInternalRel'(sK63)) ),
inference(resolution,[status(thm)],[d32,c44]) ).
cnf(d34,plain,
~ empty('the$uInternalRel'(sK63)),
inference(resolution,[status(thm)],[c43,d33]) ).
cnf(d35,plain,
$false,
inference(resolution,[status(thm)],[d34,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU362+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 09:19:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.92/3.18 % SZS status Theorem for theBenchmark.p
% 5.92/3.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------