%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 09:29:10 AM UTC 2026
% Result : Unsatisfiable 58.68s 7.96s
% Output : CNFRefutation 58.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 43 ( 20 unt; 0 nHn; 33 RR)
% Number of literals : 99 ( 0 equ; 65 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 79 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
p10(X0,X0) ).
cnf(p9_2,negated_conjecture,
p9(X0,X0) ).
cnf(p3_3,negated_conjecture,
p3(X0,X0) ).
cnf(p2_4,negated_conjecture,
p2(X0,X0) ).
cnf(p12_5,negated_conjecture,
p12(X0,X0) ).
cnf(p3_7,negated_conjecture,
p3(c22,c23) ).
cnf(p3_19,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p12_21,negated_conjecture,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ) ).
cnf(p19_22,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)) ).
cnf(not_p19_23,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)) ).
cnf(p19_24,negated_conjecture,
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p19(X2,X3)
| p19(X0,X1) ) ).
cnf(p12_27,negated_conjecture,
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ) ).
cnf(p2_28,negated_conjecture,
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ) ).
cnf(p10_30,negated_conjecture,
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ) ).
cnf(c0,plain,
p10(X0,X0),
inference(clausification,[status(esa)],[p10_1]) ).
cnf(c1,plain,
p9(X0,X0),
inference(clausification,[status(esa)],[p9_2]) ).
cnf(c2,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_3]) ).
cnf(c3,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_4]) ).
cnf(c4,plain,
p12(X0,X0),
inference(clausification,[status(esa)],[p12_5]) ).
cnf(c6,plain,
p3(c22,c23),
inference(clausification,[status(esa)],[p3_7]) ).
cnf(c18,plain,
( ~ p3(X0,X2)
| p3(X1,X2)
| ~ p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_19]) ).
cnf(c20,plain,
( ~ p12(X0,X2)
| p12(X1,X2)
| ~ p12(X0,X1) ),
inference(clausification,[status(esa)],[p12_21]) ).
cnf(c21,plain,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
inference(clausification,[status(esa)],[p19_22]) ).
cnf(c22,plain,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
inference(clausification,[status(esa)],[not_p19_23]) ).
cnf(c23,plain,
( ~ p10(X3,X2)
| ~ p19(X0,X3)
| p19(X1,X2)
| ~ p2(X0,X1) ),
inference(clausification,[status(esa)],[p19_24]) ).
cnf(c26,plain,
( ~ p3(X2,X3)
| p12(f14(X0,X2),f14(X1,X3))
| ~ p3(X0,X1) ),
inference(clausification,[status(esa)],[p12_27]) ).
cnf(c27,plain,
( ~ p3(X2,X3)
| p2(f13(X2,X0),f13(X3,X1))
| ~ p12(X0,X1) ),
inference(clausification,[status(esa)],[p2_28]) ).
cnf(c29,plain,
( ~ p10(X3,X5)
| ~ p2(X2,X4)
| p10(f11(X2,X0,X3),f11(X4,X1,X5))
| ~ p9(X0,X1) ),
inference(clausification,[status(esa)],[p10_30]) ).
cnf(d0,plain,
( ~ p12(f14(X0,X2),X4)
| p12(f14(X1,X3),X4)
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[c26,c20]) ).
cnf(d1,plain,
( p12(f14(X3,X1),f14(X2,X0))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( p19(X1,X0)
| ~ p2(c21,X1)
| ~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),X0) ),
inference(resolution,[status(thm)],[c23,c21]) ).
cnf(d3,plain,
( ~ p2(f13(f15(c21),f14(f4(c21),c22)),X1)
| ~ p9(c24,X2)
| ~ p10(c25,X3)
| p19(X0,f11(X1,X2,X3))
| ~ p2(c21,X0) ),
inference(resolution,[status(thm)],[d2,c29]) ).
cnf(d4,plain,
( ~ p12(f14(f4(c21),c22),X4)
| ~ p3(f15(c21),X3)
| p19(X2,f11(f13(X3,X4),X1,X0))
| ~ p2(c21,X2)
| ~ p9(c24,X1)
| ~ p10(c25,X0) ),
inference(resolution,[status(thm)],[d3,c27]) ).
cnf(d5,plain,
( ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p2(c21,c21)
| ~ p3(f15(c21),f15(c21))
| ~ p9(c24,c24)
| ~ p10(c25,c25) ),
inference(resolution,[status(thm)],[d4,c22]) ).
cnf(d6,plain,
( ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p2(c21,c21)
| ~ p3(f15(c21),f15(c21))
| ~ p9(c24,c24) ),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
( ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p2(c21,c21)
| ~ p3(f15(c21),f15(c21)) ),
inference(resolution,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
( ~ p12(f14(f4(c21),c22),f14(f4(c21),c23))
| ~ p2(c21,c21) ),
inference(resolution,[status(thm)],[c2,d7]) ).
cnf(d9,plain,
~ p12(f14(f4(c21),c22),f14(f4(c21),c23)),
inference(resolution,[status(thm)],[c3,d8]) ).
cnf(d10,plain,
( ~ p3(c23,c22)
| ~ p3(f4(c21),f4(c21)) ),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
~ p3(c23,c22),
inference(resolution,[status(thm)],[c2,d10]) ).
cnf(d12,plain,
( ~ p3(c22,X0)
| p3(c23,X0) ),
inference(resolution,[status(thm)],[c18,c6]) ).
cnf(d13,plain,
p3(c23,c22),
inference(resolution,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.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 18:18:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.68/7.96 % SZS status Unsatisfiable for theBenchmark.p
% 58.68/7.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------