%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 09:21:29 AM UTC 2026
% Result : Unsatisfiable 15.29s 2.72s
% Output : CNFRefutation 15.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 30 ( 0 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 26 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ q5(e,e) ).
cnf(axiom_14,axiom,
p0(b,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_277,axiom,
( ~ p3(X1,X2,X0)
| l4(X0) ) ).
cnf(rule_324,axiom,
( ~ l4(X0)
| q5(X0,X0) ) ).
cnf(c0,plain,
~ q5(e,e),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
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(c315,plain,
( ~ p3(X1,X2,X0)
| l4(X0) ),
inference(clausification,[status(esa)],[rule_277]) ).
cnf(c362,plain,
( ~ l4(X0)
| q5(X0,X0) ),
inference(clausification,[status(esa)],[rule_324]) ).
cnf(d0,plain,
~ l4(e),
inference(resolution,[status(thm)],[c362,c0]) ).
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,
l4(X0),
inference(resolution,[status(thm)],[c315,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sat Sep 26 17:19:04 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.29/2.72 % SZS status Unsatisfiable for theBenchmark.p
% 15.29/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------