%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO124-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 07:14:14 AM UTC 2026
% Result : Unsatisfiable 20.86s 18.15s
% Output : CNFRefutation 20.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 14 unt; 6 nHn; 30 RR)
% Number of literals : 54 ( 11 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 40 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(corollary_4_10_1_133,negated_conjecture,
'start$upoint'(sk26,sk25) ).
cnf(corollary_4_10_1_134,negated_conjecture,
'start$upoint'(sk27,sk25) ).
cnf(corollary_4_10_1_135,negated_conjecture,
sk26 != sk27 ).
cnf(between_c_defn_1,axiom,
( X1 != X3
| ~ 'between$uc'(X0,X1,X2,X3) ) ).
cnf(between_o_defn_5,axiom,
( 'between$uo'(X0,X1,X2,X3)
| ~ 'ordered$uby'(X0,X2,X3)
| ~ 'ordered$uby'(X0,X1,X2) ) ).
cnf(start_point_defn_7,axiom,
( 'incident$uo'(X0,X1)
| ~ 'start$upoint'(X0,X1) ) ).
cnf(start_point_defn_8,axiom,
( 'ordered$uby'(X1,X0,X2)
| ~ 'incident$uo'(X2,X1)
| X0 = X2
| ~ 'start$upoint'(X0,X1) ) ).
cnf(o3_24,axiom,
( 'between$uc'('ax2$usk4'(X0,X3,X2,X1),X1,X2,X3)
| ~ 'between$uo'(X0,X1,X2,X3) ) ).
cnf(c0,plain,
'start$upoint'(sk26,sk25),
inference(clausification,[status(esa)],[corollary_4_10_1_133]) ).
cnf(c1,plain,
'start$upoint'(sk27,sk25),
inference(clausification,[status(esa)],[corollary_4_10_1_134]) ).
cnf(c2,plain,
sk27 != sk26,
inference(clausification,[status(esa)],[corollary_4_10_1_135]) ).
cnf(c46,plain,
( X3 != X1
| ~ 'between$uc'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[between_c_defn_1]) ).
cnf(c56,plain,
( 'between$uo'(X0,X3,X1,X2)
| ~ 'ordered$uby'(X0,X3,X1)
| ~ 'ordered$uby'(X0,X1,X2) ),
inference(clausification,[status(esa)],[between_o_defn_5]) ).
cnf(c58,plain,
( 'incident$uo'(X0,X1)
| ~ 'start$upoint'(X0,X1) ),
inference(clausification,[status(esa)],[start_point_defn_7]) ).
cnf(c59,plain,
( 'ordered$uby'(X1,X2,X0)
| X0 = X2
| ~ 'start$upoint'(X2,X1)
| ~ 'incident$uo'(X0,X1) ),
inference(clausification,[status(esa)],[start_point_defn_8]) ).
cnf(c75,plain,
( 'between$uc'('ax2$usk4'(X0,X3,X2,X1),X1,X2,X3)
| ~ 'between$uo'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[o3_24]) ).
cnf(d0,plain,
'incident$uo'(sk26,sk25),
inference(resolution,[status(thm)],[c58,c0]) ).
cnf(d1,plain,
( ~ 'incident$uo'(X0,sk25)
| 'ordered$uby'(sk25,sk27,X0)
| X0 = sk27 ),
inference(resolution,[status(thm)],[c59,c1]) ).
cnf(d2,plain,
( 'ordered$uby'(sk25,sk27,sk26)
| sk26 = sk27 ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( 'ordered$uby'(sk25,sk27,sk26)
| sk26 != sk26 ),
inference(superposition,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
'ordered$uby'(sk25,sk27,sk26),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
'incident$uo'(sk27,sk25),
inference(resolution,[status(thm)],[c58,c1]) ).
cnf(d6,plain,
( ~ 'incident$uo'(X0,sk25)
| 'ordered$uby'(sk25,sk26,X0)
| X0 = sk26 ),
inference(resolution,[status(thm)],[c59,c0]) ).
cnf(d7,plain,
( 'ordered$uby'(sk25,sk26,sk27)
| sk27 = sk26 ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
'ordered$uby'(sk25,sk26,sk27),
inference(resolution,[status(thm)],[c2,d7]) ).
cnf(d9,plain,
( ~ 'ordered$uby'(sk25,sk27,X0)
| 'between$uo'(sk25,sk26,sk27,X0) ),
inference(resolution,[status(thm)],[d8,c56]) ).
cnf(d10,plain,
'between$uo'(sk25,sk26,sk27,sk26),
inference(resolution,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
'between$uc'('ax2$usk4'(sk25,sk26,sk27,sk26),sk26,sk27,sk26),
inference(resolution,[status(thm)],[d10,c75]) ).
cnf(d12,plain,
~ 'between$uc'(X0,X1,X2,X1),
inference(equality_resolution,[status(thm)],[c46]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO124-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.03/15.43 % CPULimit : 300
% 0.03/15.43 % WCLimit : 300
% 0.03/15.43 % DateTime : Fri Sep 25 12:50:27 UTC 2026
% 0.03/15.43 % CPUTime :
% 0.03/15.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.86/18.15 % SZS status Unsatisfiable for theBenchmark.p
% 20.86/18.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------