%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN144-1 : 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 : 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 09:21:24 AM UTC 2026
% Result : Unsatisfiable 21.57s 3.42s
% Output : CNFRefutation 21.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 18 unt; 0 nHn; 31 RR)
% Number of literals : 62 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 44 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ m5(e,a) ).
cnf(axiom_13,axiom,
r0(e) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_30,axiom,
n0(e,e) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_092,axiom,
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ) ).
cnf(rule_141,axiom,
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ) ).
cnf(rule_155,axiom,
( ~ p2(e,X0,X1)
| ~ k1(X2)
| p2(X0,X1,X1) ) ).
cnf(rule_267,axiom,
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ) ).
cnf(rule_285,axiom,
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ) ).
cnf(rule_303,axiom,
( ~ p4(X0,X2,X1)
| ~ r0(X0)
| m5(X0,X1) ) ).
cnf(c0,plain,
~ m5(e,a),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c13,plain,
r0(e),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c30,plain,
n0(e,e),
inference(clausification,[status(esa)],[axiom_30]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c130,plain,
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_092]) ).
cnf(c179,plain,
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
inference(clausification,[status(esa)],[rule_141]) ).
cnf(c193,plain,
( ~ p2(e,X0,X1)
| ~ k1(X2)
| p2(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_155]) ).
cnf(c305,plain,
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_267]) ).
cnf(c323,plain,
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_285]) ).
cnf(c341,plain,
( ~ p4(X0,X2,X1)
| ~ r0(X0)
| m5(X0,X1) ),
inference(clausification,[status(esa)],[rule_303]) ).
cnf(d0,plain,
k1(e),
inference(resolution,[status(thm)],[c39,c30]) ).
cnf(d1,plain,
( q1(X2,X1,X2)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[c130,c14]) ).
cnf(d2,plain,
q1(X0,a,X0),
inference(resolution,[status(thm)],[d1,c37]) ).
cnf(d3,plain,
p2(X0,a,X0),
inference(resolution,[status(thm)],[d2,c179]) ).
cnf(d4,plain,
( p2(a,e,e)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[d3,c193]) ).
cnf(d5,plain,
p2(a,e,e),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
r3(a,e,a),
inference(resolution,[status(thm)],[d5,c305]) ).
cnf(d7,plain,
( p4(e,e,a)
| ~ r0(e) ),
inference(resolution,[status(thm)],[d6,c323]) ).
cnf(d8,plain,
p4(e,e,a),
inference(resolution,[status(thm)],[c13,d7]) ).
cnf(d9,plain,
( ~ r0(e)
| m5(e,a) ),
inference(resolution,[status(thm)],[d8,c341]) ).
cnf(d10,plain,
~ r0(e),
inference(resolution,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c13,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 17:13:23 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.57/3.42 % SZS status Unsatisfiable for theBenchmark.p
% 21.57/3.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------