%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN627-1 : 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 : n003.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 09:29:13 AM UTC 2026
% Result : Unsatisfiable 22.18s 8.26s
% Output : CNFRefutation 22.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 16 unt; 0 nHn; 32 RR)
% Number of literals : 65 ( 0 equ; 32 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 41 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_5,negated_conjecture,
p3(X0,X0) ).
cnf(p2_6,negated_conjecture,
p2(X0,X0) ).
cnf(p15_7,negated_conjecture,
p15(c18,c19) ).
cnf(not_p3_8,negated_conjecture,
~ p3(c23,c24) ).
cnf(p3_9,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)) ).
cnf(p16_10,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22) ).
cnf(p3_18,negated_conjecture,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ) ).
cnf(p3_20,negated_conjecture,
( ~ p15(X0,c19)
| p3(c24,f4(f7(c17,X0),f14(X0))) ) ).
cnf(p16_23,negated_conjecture,
( ~ p15(X0,c19)
| p16(c17,c20,f9(c19,X0),f14(X0),c25) ) ).
cnf(p3_27,negated_conjecture,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ) ).
cnf(p3_28,negated_conjecture,
( ~ p16(c17,c20,X2,X0,c22)
| ~ p16(c17,c20,X2,X1,X3)
| p3(X0,X1) ) ).
cnf(c4,plain,
p3(X0,X0),
inference(clausification,[status(esa)],[p3_5]) ).
cnf(c5,plain,
p2(X0,X0),
inference(clausification,[status(esa)],[p2_6]) ).
cnf(c6,plain,
p15(c18,c19),
inference(clausification,[status(esa)],[p15_7]) ).
cnf(c7,plain,
~ p3(c23,c24),
inference(clausification,[status(esa)],[not_p3_8]) ).
cnf(c8,plain,
p3(c23,f4(f7(c17,c18),c21)),
inference(clausification,[status(esa)],[p3_9]) ).
cnf(c9,plain,
p16(c17,c20,f9(c19,c18),c21,c22),
inference(clausification,[status(esa)],[p16_10]) ).
cnf(c17,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_18]) ).
cnf(c19,plain,
( ~ p15(X0,c19)
| p3(c24,f4(f7(c17,X0),f14(X0))) ),
inference(clausification,[status(esa)],[p3_20]) ).
cnf(c22,plain,
( ~ p15(X0,c19)
| p16(c17,c20,f9(c19,X0),f14(X0),c25) ),
inference(clausification,[status(esa)],[p16_23]) ).
cnf(c26,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ),
inference(clausification,[status(esa)],[p3_27]) ).
cnf(c27,plain,
( ~ p16(c17,c20,X2,X0,c22)
| ~ p16(c17,c20,X2,X1,X3)
| p3(X0,X1) ),
inference(clausification,[status(esa)],[p3_28]) ).
cnf(d0,plain,
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[c17,c4]) ).
cnf(d1,plain,
( ~ p15(X0,c19)
| p3(f4(f7(c17,X0),f14(X0)),c24) ),
inference(resolution,[status(thm)],[d0,c19]) ).
cnf(d2,plain,
( ~ p3(f4(f7(c17,X0),f14(X0)),X1)
| p3(X1,c24)
| ~ p15(X0,c19) ),
inference(resolution,[status(thm)],[d1,c17]) ).
cnf(d3,plain,
p3(f4(f7(c17,c18),c21),c23),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d4,plain,
( ~ p3(f4(f7(c17,c18),c21),X0)
| p3(X0,c23) ),
inference(resolution,[status(thm)],[d3,c17]) ).
cnf(d5,plain,
( ~ p2(f7(c17,c18),X0)
| ~ p3(c21,X1)
| p3(f4(X0,X1),c23) ),
inference(resolution,[status(thm)],[d4,c26]) ).
cnf(d6,plain,
( ~ p3(c21,X0)
| p3(f4(f7(c17,c18),X0),c23) ),
inference(resolution,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
( ~ p15(c18,c19)
| p3(c23,c24)
| ~ p3(c21,f14(c18)) ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ~ p3(c21,f14(c18))
| p3(c23,c24) ),
inference(resolution,[status(thm)],[c6,d7]) ).
cnf(d9,plain,
~ p3(c21,f14(c18)),
inference(resolution,[status(thm)],[c7,d8]) ).
cnf(d10,plain,
( ~ p16(c17,c20,f9(c19,c18),X0,X1)
| p3(c21,X0) ),
inference(resolution,[status(thm)],[c27,c9]) ).
cnf(d11,plain,
( ~ p15(c18,c19)
| p3(c21,f14(c18)) ),
inference(resolution,[status(thm)],[d10,c22]) ).
cnf(d12,plain,
p3(c21,f14(c18)),
inference(resolution,[status(thm)],[c6,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n003.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 18:18:45 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.18/8.26 % SZS status Unsatisfiable for theBenchmark.p
% 22.18/8.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------