%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL091-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 06:56:54 AM UTC 2026
% Result : Unsatisfiable 11.32s 2.06s
% Output : CNFRefutation 11.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 13 unt; 10 nHn; 36 RR)
% Number of literals : 70 ( 20 equ; 25 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_app,axiom,
combK != 'comb$uapp'(X0,X1) ).
cnf(ap_contractE1,axiom,
( 'ap$ucontractE$uc4'(X0,X1,X2)
| 'ap$ucontractE$uc3'(X0,X1,X2)
| 'ap$ucontractE$uc2'(X0,X1,X2)
| 'ap$ucontractE$uc1'(X0,X1,X2)
| ~ member(pair('comb$uapp'(X0,X1),X2),contract) ) ).
cnf(ap_contractE4,axiom,
( X0 = 'comb$uapp'(combK,X2)
| ~ 'ap$ucontractE$uc1'(X0,X1,X2) ) ).
cnf(ap_contractE9,axiom,
( X0 = 'comb$uapp'('comb$uapp'(combS,'ap$ucontractE$usk1p'(X0,X1,X2)),'ap$ucontractE$usk1q'(X0,X1,X2))
| ~ 'ap$ucontractE$uc2'(X0,X1,X2) ) ).
cnf(ap_contractE10,axiom,
( member(pair(X0,'ap$ucontractE$usk2q'(X0,X1,X2)),contract)
| ~ 'ap$ucontractE$uc3'(X0,X1,X2) ) ).
cnf(ap_contractE13,axiom,
( member(pair(X1,'ap$ucontractE$usk3q'(X0,X1,X2)),contract)
| ~ 'ap$ucontractE$uc4'(X0,X1,X2) ) ).
cnf(ap_contractE15,axiom,
( X2 = 'comb$uapp'(X0,'ap$ucontractE$usk3q'(X0,X1,X2))
| ~ 'ap$ucontractE$uc4'(X0,X1,X2) ) ).
cnf(k_contractE,axiom,
~ member(pair(combK,X0),contract) ).
cnf(k1_contractD_h1,hypothesis,
member(pair('comb$uapp'(combK,p),r),contract) ).
cnf(k1_contractD_c1,negated_conjecture,
( ~ member(pair(p,X0),contract)
| r != 'comb$uapp'(combK,X0) ) ).
cnf(c1,plain,
combK != 'comb$uapp'(X0,X1),
inference(clausification,[status(esa)],[k_app]) ).
cnf(c14,plain,
( 'ap$ucontractE$uc3'(X0,X1,X2)
| 'ap$ucontractE$uc4'(X0,X1,X2)
| 'ap$ucontractE$uc2'(X0,X1,X2)
| 'ap$ucontractE$uc1'(X0,X1,X2)
| ~ member(pair('comb$uapp'(X0,X1),X2),contract) ),
inference(clausification,[status(esa)],[ap_contractE1]) ).
cnf(c17,plain,
( X0 = 'comb$uapp'(combK,X2)
| ~ 'ap$ucontractE$uc1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_contractE4]) ).
cnf(c22,plain,
( X0 = 'comb$uapp'('comb$uapp'(combS,'ap$ucontractE$usk1p'(X0,X1,X2)),'ap$ucontractE$usk1q'(X0,X1,X2))
| ~ 'ap$ucontractE$uc2'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_contractE9]) ).
cnf(c23,plain,
( member(pair(X0,'ap$ucontractE$usk2q'(X0,X1,X2)),contract)
| ~ 'ap$ucontractE$uc3'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_contractE10]) ).
cnf(c26,plain,
( member(pair(X1,'ap$ucontractE$usk3q'(X0,X1,X2)),contract)
| ~ 'ap$ucontractE$uc4'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_contractE13]) ).
cnf(c28,plain,
( X2 = 'comb$uapp'(X0,'ap$ucontractE$usk3q'(X0,X1,X2))
| ~ 'ap$ucontractE$uc4'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_contractE15]) ).
cnf(c29,plain,
~ member(pair(combK,X0),contract),
inference(clausification,[status(esa)],[k_contractE]) ).
cnf(c31,plain,
member(pair('comb$uapp'(combK,p),r),contract),
inference(clausification,[status(esa)],[k1_contractD_h1]) ).
cnf(c32,plain,
( ~ member(pair(p,X0),contract)
| r != 'comb$uapp'(combK,X0) ),
inference(clausification,[status(esa)],[k1_contractD_c1]) ).
cnf(d0,plain,
( 'ap$ucontractE$uc4'(combK,p,r)
| 'ap$ucontractE$uc3'(combK,p,r)
| 'ap$ucontractE$uc1'(combK,p,r)
| 'ap$ucontractE$uc2'(combK,p,r) ),
inference(resolution,[status(thm)],[c14,c31]) ).
cnf(d1,plain,
~ 'ap$ucontractE$uc3'(combK,X0,X1),
inference(resolution,[status(thm)],[c23,c29]) ).
cnf(d2,plain,
( 'ap$ucontractE$uc4'(combK,p,r)
| 'ap$ucontractE$uc1'(combK,p,r)
| 'ap$ucontractE$uc2'(combK,p,r) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( r = 'comb$uapp'(combK,'ap$ucontractE$usk3q'(combK,p,r))
| 'ap$ucontractE$uc1'(combK,p,r)
| 'ap$ucontractE$uc2'(combK,p,r) ),
inference(resolution,[status(thm)],[d2,c28]) ).
cnf(d4,plain,
( combK = 'comb$uapp'(combK,r)
| 'ap$ucontractE$uc2'(combK,p,r)
| r = 'comb$uapp'(combK,'ap$ucontractE$usk3q'(combK,p,r)) ),
inference(resolution,[status(thm)],[d3,c17]) ).
cnf(d5,plain,
( 'ap$ucontractE$uc2'(combK,p,r)
| r = 'comb$uapp'(combK,'ap$ucontractE$usk3q'(combK,p,r)) ),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( combK = 'comb$uapp'('comb$uapp'(combS,'ap$ucontractE$usk1p'(combK,p,r)),'ap$ucontractE$usk1q'(combK,p,r))
| r = 'comb$uapp'(combK,'ap$ucontractE$usk3q'(combK,p,r)) ),
inference(resolution,[status(thm)],[d5,c22]) ).
cnf(d7,plain,
r = 'comb$uapp'(combK,'ap$ucontractE$usk3q'(combK,p,r)),
inference(resolution,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
( ~ member(pair(p,'ap$ucontractE$usk3q'(combK,p,r)),contract)
| r != r ),
inference(superposition,[status(thm)],[d7,c32]) ).
cnf(d9,plain,
~ member(pair(p,'ap$ucontractE$usk3q'(combK,p,r)),contract),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
~ 'ap$ucontractE$uc4'(combK,p,r),
inference(resolution,[status(thm)],[d9,c26]) ).
cnf(d11,plain,
( 'ap$ucontractE$uc1'(combK,p,r)
| 'ap$ucontractE$uc2'(combK,p,r) ),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
( combK = 'comb$uapp'(combK,r)
| 'ap$ucontractE$uc2'(combK,p,r) ),
inference(resolution,[status(thm)],[d11,c17]) ).
cnf(d13,plain,
'ap$ucontractE$uc2'(combK,p,r),
inference(resolution,[status(thm)],[c1,d12]) ).
cnf(d14,plain,
combK = 'comb$uapp'('comb$uapp'(combS,'ap$ucontractE$usk1p'(combK,p,r)),'ap$ucontractE$usk1q'(combK,p,r)),
inference(resolution,[status(thm)],[d13,c22]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c1,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL091-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 23:13:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.32/2.06 % SZS status Unsatisfiable for theBenchmark.p
% 11.32/2.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------