%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN210-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 09:21:33 AM UTC 2026
% Result : Unsatisfiable 19.16s 2.87s
% Output : CNFRefutation 19.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 36 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ s4(c) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(rule_002,axiom,
( ~ n0(X1,X0)
| l1(X0,X0) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_137,axiom,
( ~ p1(X1,X2,X0)
| n2(X0) ) ).
cnf(rule_244,axiom,
( ~ n2(X0)
| p3(X0,X0,X0) ) ).
cnf(rule_299,axiom,
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ) ).
cnf(c0,plain,
~ s4(c),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c26,plain,
n0(d,c),
inference(clausification,[status(esa)],[axiom_26]) ).
cnf(c40,plain,
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(clausification,[status(esa)],[rule_002]) ).
cnf(c123,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_085]) ).
cnf(c175,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(clausification,[status(esa)],[rule_137]) ).
cnf(c282,plain,
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_244]) ).
cnf(c337,plain,
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
inference(clausification,[status(esa)],[rule_299]) ).
cnf(d0,plain,
l1(c,c),
inference(resolution,[status(thm)],[c40,c26]) ).
cnf(d1,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d2,plain,
n2(X0),
inference(resolution,[status(thm)],[d1,c175]) ).
cnf(d3,plain,
p3(X0,X0,X0),
inference(resolution,[status(thm)],[d2,c282]) ).
cnf(d4,plain,
( ~ l1(X0,X1)
| s4(X0) ),
inference(resolution,[status(thm)],[c337,d3]) ).
cnf(d5,plain,
s4(c),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c0,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN210-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 17:22:01 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.16/2.87 % SZS status Unsatisfiable for theBenchmark.p
% 19.16/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------