%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL092-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 17.34s 4.24s
% Output : CNFRefutation 17.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of clauses : 74 ( 15 unt; 23 nHn; 74 RR)
% Number of literals : 163 ( 62 equ; 47 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 86 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_app,axiom,
combK != 'comb$uapp'(X0,X1) ).
cnf(app_app2,axiom,
( X1 = X3
| 'comb$uapp'(X0,X1) != 'comb$uapp'(X2,X3) ) ).
cnf(ap_E2,axiom,
( member(X1,comb)
| ~ member('comb$uapp'(X0,X1),comb) ) ).
cnf(parcontract_intros1,axiom,
( member(pair(X0,X0),parcontract)
| ~ member(X0,comb) ) ).
cnf(k_parcontractE2,axiom,
( X0 = combK
| ~ member(pair(combK,X0),parcontract) ) ).
cnf(ap_parcontractE1,axiom,
( 'ap$uparcontractE$uc4'(X0,X1,X2)
| 'ap$uparcontractE$uc3'(X0,X1,X2)
| 'ap$uparcontractE$uc2'(X0,X1,X2)
| 'ap$uparcontractE$uc1'(X0,X1,X2)
| ~ member(pair('comb$uapp'(X0,X1),X2),parcontract) ) ).
cnf(ap_parcontractE2,axiom,
( member('comb$uapp'(X0,X1),comb)
| ~ 'ap$uparcontractE$uc1'(X0,X1,X2) ) ).
cnf(ap_parcontractE3,axiom,
( X2 = 'comb$uapp'(X0,X1)
| ~ 'ap$uparcontractE$uc1'(X0,X1,X2) ) ).
cnf(ap_parcontractE5,axiom,
( member(X1,comb)
| ~ 'ap$uparcontractE$uc2'(X0,X1,X2) ) ).
cnf(ap_parcontractE6,axiom,
( X0 = 'comb$uapp'(combK,X2)
| ~ 'ap$uparcontractE$uc2'(X0,X1,X2) ) ).
cnf(ap_parcontractE9,axiom,
( member(X1,comb)
| ~ 'ap$uparcontractE$uc3'(X0,X1,X2) ) ).
cnf(ap_parcontractE11,axiom,
( X0 = 'comb$uapp'('comb$uapp'(combS,'ap$uparcontractE$usk1p'(X0,X1,X2)),'ap$uparcontractE$usk1q'(X0,X1,X2))
| ~ 'ap$uparcontractE$uc3'(X0,X1,X2) ) ).
cnf(ap_parcontractE12,axiom,
( member(pair(X0,'ap$uparcontractE$usk2q'(X0,X1,X2)),parcontract)
| ~ 'ap$uparcontractE$uc4'(X0,X1,X2) ) ).
cnf(ap_parcontractE13,axiom,
( member(pair(X1,'ap$uparcontractE$usk2s'(X0,X1,X2)),parcontract)
| ~ 'ap$uparcontractE$uc4'(X0,X1,X2) ) ).
cnf(ap_parcontractE14,axiom,
( X2 = 'comb$uapp'('ap$uparcontractE$usk2q'(X0,X1,X2),'ap$uparcontractE$usk2s'(X0,X1,X2))
| ~ 'ap$uparcontractE$uc4'(X0,X1,X2) ) ).
cnf(k1_parcontractD_h1,hypothesis,
member(pair('comb$uapp'(combK,p),r),parcontract) ).
cnf(k1_parcontractD_c1,negated_conjecture,
( ~ member(pair(p,X0),parcontract)
| r != 'comb$uapp'(combK,X0) ) ).
cnf(c1,plain,
combK != 'comb$uapp'(X0,X1),
inference(clausification,[status(esa)],[k_app]) ).
cnf(c4,plain,
( X1 = X3
| 'comb$uapp'(X0,X1) != 'comb$uapp'(X2,X3) ),
inference(clausification,[status(esa)],[app_app2]) ).
cnf(c7,plain,
( member(X1,comb)
| ~ member('comb$uapp'(X0,X1),comb) ),
inference(clausification,[status(esa)],[ap_E2]) ).
cnf(c31,plain,
( member(pair(X0,X0),parcontract)
| ~ member(X0,comb) ),
inference(clausification,[status(esa)],[parcontract_intros1]) ).
cnf(c36,plain,
( X0 = combK
| ~ member(pair(combK,X0),parcontract) ),
inference(clausification,[status(esa)],[k_parcontractE2]) ).
cnf(c39,plain,
( 'ap$uparcontractE$uc1'(X0,X1,X2)
| 'ap$uparcontractE$uc2'(X0,X1,X2)
| ~ member(pair('comb$uapp'(X0,X1),X2),parcontract)
| 'ap$uparcontractE$uc3'(X0,X1,X2)
| 'ap$uparcontractE$uc4'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE1]) ).
cnf(c40,plain,
( member('comb$uapp'(X0,X1),comb)
| ~ 'ap$uparcontractE$uc1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE2]) ).
cnf(c41,plain,
( X2 = 'comb$uapp'(X0,X1)
| ~ 'ap$uparcontractE$uc1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE3]) ).
cnf(c43,plain,
( member(X1,comb)
| ~ 'ap$uparcontractE$uc2'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE5]) ).
cnf(c44,plain,
( X0 = 'comb$uapp'(combK,X2)
| ~ 'ap$uparcontractE$uc2'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE6]) ).
cnf(c47,plain,
( member(X1,comb)
| ~ 'ap$uparcontractE$uc3'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE9]) ).
cnf(c49,plain,
( X0 = 'comb$uapp'('comb$uapp'(combS,'ap$uparcontractE$usk1p'(X0,X1,X2)),'ap$uparcontractE$usk1q'(X0,X1,X2))
| ~ 'ap$uparcontractE$uc3'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE11]) ).
cnf(c50,plain,
( member(pair(X0,'ap$uparcontractE$usk2q'(X0,X1,X2)),parcontract)
| ~ 'ap$uparcontractE$uc4'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE12]) ).
cnf(c51,plain,
( member(pair(X1,'ap$uparcontractE$usk2s'(X0,X1,X2)),parcontract)
| ~ 'ap$uparcontractE$uc4'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE13]) ).
cnf(c52,plain,
( X2 = 'comb$uapp'('ap$uparcontractE$usk2q'(X0,X1,X2),'ap$uparcontractE$usk2s'(X0,X1,X2))
| ~ 'ap$uparcontractE$uc4'(X0,X1,X2) ),
inference(clausification,[status(esa)],[ap_parcontractE14]) ).
cnf(c53,plain,
member(pair('comb$uapp'(combK,p),r),parcontract),
inference(clausification,[status(esa)],[k1_parcontractD_h1]) ).
cnf(c54,plain,
( ~ member(pair(p,X0),parcontract)
| r != 'comb$uapp'(combK,X0) ),
inference(clausification,[status(esa)],[k1_parcontractD_c1]) ).
cnf(d0,plain,
( 'ap$uparcontractE$uc2'(combK,p,r)
| 'ap$uparcontractE$uc1'(combK,p,r)
| 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r) ),
inference(resolution,[status(thm)],[c39,c53]) ).
cnf(d1,plain,
( member('comb$uapp'(combK,p),comb)
| 'ap$uparcontractE$uc2'(combK,p,r)
| 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r) ),
inference(resolution,[status(thm)],[d0,c40]) ).
cnf(d2,plain,
( member(p,comb)
| 'ap$uparcontractE$uc2'(combK,p,r)
| 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r) ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( member(p,comb)
| 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r)
| member(p,comb) ),
inference(resolution,[status(thm)],[d2,c43]) ).
cnf(d4,plain,
( r = 'comb$uapp'(combK,p)
| 'ap$uparcontractE$uc2'(combK,p,r)
| 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r) ),
inference(resolution,[status(thm)],[d0,c41]) ).
cnf(d5,plain,
( combK = 'comb$uapp'(combK,r)
| 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r)
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[d4,c44]) ).
cnf(d6,plain,
( 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r)
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
( r = 'comb$uapp'('ap$uparcontractE$usk2q'(combK,p,r),'ap$uparcontractE$usk2s'(combK,p,r))
| 'ap$uparcontractE$uc3'(combK,p,r)
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[d6,c52]) ).
cnf(d8,plain,
( combK = 'comb$uapp'('comb$uapp'(combS,'ap$uparcontractE$usk1p'(combK,p,r)),'ap$uparcontractE$usk1q'(combK,p,r))
| r = 'comb$uapp'('ap$uparcontractE$usk2q'(combK,p,r),'ap$uparcontractE$usk2s'(combK,p,r))
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[d7,c49]) ).
cnf(d9,plain,
( r = 'comb$uapp'('ap$uparcontractE$usk2q'(combK,p,r),'ap$uparcontractE$usk2s'(combK,p,r))
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[c1,d8]) ).
cnf(d10,plain,
( 'ap$uparcontractE$usk2q'(combK,X0,X1) = combK
| ~ 'ap$uparcontractE$uc4'(combK,X0,X1) ),
inference(resolution,[status(thm)],[c50,c36]) ).
cnf(d11,plain,
( 'ap$uparcontractE$usk2q'(combK,p,r) = combK
| 'ap$uparcontractE$uc3'(combK,p,r)
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[d6,d10]) ).
cnf(d12,plain,
( combK = 'comb$uapp'('comb$uapp'(combS,'ap$uparcontractE$usk1p'(combK,p,r)),'ap$uparcontractE$usk1q'(combK,p,r))
| r = 'comb$uapp'(combK,p)
| 'ap$uparcontractE$usk2q'(combK,p,r) = combK ),
inference(resolution,[status(thm)],[d11,c49]) ).
cnf(d13,plain,
( r = 'comb$uapp'(combK,p)
| 'ap$uparcontractE$usk2q'(combK,p,r) = combK ),
inference(resolution,[status(thm)],[c1,d12]) ).
cnf(d14,plain,
( r = 'comb$uapp'(combK,p)
| r = 'comb$uapp'(combK,p)
| r = 'comb$uapp'(combK,'ap$uparcontractE$usk2s'(combK,p,r)) ),
inference(superposition,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
( r = 'comb$uapp'(combK,p)
| ~ member(pair(p,'ap$uparcontractE$usk2s'(combK,p,r)),parcontract)
| r != r ),
inference(superposition,[status(thm)],[d14,c54]) ).
cnf(d16,plain,
( ~ member(pair(p,'ap$uparcontractE$usk2s'(combK,p,r)),parcontract)
| r = 'comb$uapp'(combK,p) ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( ~ 'ap$uparcontractE$uc4'(combK,p,r)
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[d16,c51]) ).
cnf(d18,plain,
( 'ap$uparcontractE$uc3'(combK,p,r)
| r = 'comb$uapp'(combK,p)
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[d17,d6]) ).
cnf(d19,plain,
( combK = 'comb$uapp'('comb$uapp'(combS,'ap$uparcontractE$usk1p'(combK,p,r)),'ap$uparcontractE$usk1q'(combK,p,r))
| r = 'comb$uapp'(combK,p) ),
inference(resolution,[status(thm)],[d18,c49]) ).
cnf(d20,plain,
r = 'comb$uapp'(combK,p),
inference(resolution,[status(thm)],[c1,d19]) ).
cnf(d21,plain,
( ~ member(pair(p,p),parcontract)
| r != r ),
inference(superposition,[status(thm)],[d20,c54]) ).
cnf(d22,plain,
~ member(pair(p,p),parcontract),
inference(equality_resolution,[status(thm)],[d21]) ).
cnf(d23,plain,
~ member(p,comb),
inference(resolution,[status(thm)],[d22,c31]) ).
cnf(d24,plain,
( 'ap$uparcontractE$uc3'(combK,p,r)
| 'ap$uparcontractE$uc4'(combK,p,r) ),
inference(resolution,[status(thm)],[d23,d3]) ).
cnf(d25,plain,
( X1 = p
| 'comb$uapp'(X0,X1) != r ),
inference(superposition,[status(thm)],[d20,c4]) ).
cnf(d26,plain,
( 'ap$uparcontractE$usk2q'(combK,p,r) = combK
| 'ap$uparcontractE$uc3'(combK,p,r)
| member(p,comb) ),
inference(resolution,[status(thm)],[d3,d10]) ).
cnf(d27,plain,
( member(p,comb)
| member(p,comb)
| 'ap$uparcontractE$usk2q'(combK,p,r) = combK ),
inference(resolution,[status(thm)],[d26,c47]) ).
cnf(d28,plain,
'ap$uparcontractE$usk2q'(combK,p,r) = combK,
inference(resolution,[status(thm)],[d23,d27]) ).
cnf(d29,plain,
( r = 'comb$uapp'('ap$uparcontractE$usk2q'(combK,p,r),'ap$uparcontractE$usk2s'(combK,p,r))
| 'ap$uparcontractE$uc3'(combK,p,r)
| member(p,comb) ),
inference(resolution,[status(thm)],[d3,c52]) ).
cnf(d30,plain,
( member(p,comb)
| member(p,comb)
| r = 'comb$uapp'('ap$uparcontractE$usk2q'(combK,p,r),'ap$uparcontractE$usk2s'(combK,p,r)) ),
inference(resolution,[status(thm)],[d29,c47]) ).
cnf(d31,plain,
r = 'comb$uapp'('ap$uparcontractE$usk2q'(combK,p,r),'ap$uparcontractE$usk2s'(combK,p,r)),
inference(resolution,[status(thm)],[d23,d30]) ).
cnf(d32,plain,
r = 'comb$uapp'(combK,'ap$uparcontractE$usk2s'(combK,p,r)),
inference(demodulation,[status(thm)],[d31,d28]) ).
cnf(d33,plain,
( 'ap$uparcontractE$usk2s'(combK,p,r) = p
| r != r ),
inference(superposition,[status(thm)],[d32,d25]) ).
cnf(d34,plain,
'ap$uparcontractE$usk2s'(combK,p,r) = p,
inference(equality_resolution,[status(thm)],[d33]) ).
cnf(d35,plain,
( ~ 'ap$uparcontractE$uc4'(combK,p,r)
| member(pair(p,p),parcontract) ),
inference(superposition,[status(thm)],[d34,c51]) ).
cnf(d36,plain,
~ 'ap$uparcontractE$uc4'(combK,p,r),
inference(resolution,[status(thm)],[d22,d35]) ).
cnf(d37,plain,
'ap$uparcontractE$uc3'(combK,p,r),
inference(resolution,[status(thm)],[d36,d24]) ).
cnf(d38,plain,
member(p,comb),
inference(resolution,[status(thm)],[d37,c47]) ).
cnf(d39,plain,
$false,
inference(resolution,[status(thm)],[d23,d38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL092-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 23:11:40 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.34/4.24 % SZS status Unsatisfiable for theBenchmark.p
% 17.34/4.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------