%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN273-1 : 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 : n001.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 09:21:42 AM UTC 2026
% Result : Unsatisfiable 31.38s 4.55s
% Output : CNFRefutation 31.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 16 unt; 0 nHn; 31 RR)
% Number of literals : 66 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 47 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p4(e,c,e) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_28,axiom,
k0(e) ).
cnf(axiom_30,axiom,
n0(e,e) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_021,axiom,
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ) ).
cnf(rule_110,axiom,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ) ).
cnf(rule_127,axiom,
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ) ).
cnf(rule_129,axiom,
( ~ q1(X1,X0,X0)
| k2(X0,X0) ) ).
cnf(rule_194,axiom,
( ~ k2(X1,X0)
| k3(X0,X0,X1) ) ).
cnf(rule_287,axiom,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ) ).
cnf(c0,plain,
~ p4(e,c,e),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c19,plain,
m0(X0,d,X1),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c24,plain,
l0(c),
inference(clausification,[status(esa)],[axiom_24]) ).
cnf(c28,plain,
k0(e),
inference(clausification,[status(esa)],[axiom_28]) ).
cnf(c30,plain,
n0(e,e),
inference(clausification,[status(esa)],[axiom_30]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c59,plain,
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_021]) ).
cnf(c148,plain,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_110]) ).
cnf(c165,plain,
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(clausification,[status(esa)],[rule_127]) ).
cnf(c167,plain,
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(clausification,[status(esa)],[rule_129]) ).
cnf(c232,plain,
( ~ k2(X1,X0)
| k3(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_194]) ).
cnf(c325,plain,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_287]) ).
cnf(d0,plain,
( ~ k2(X1,X0)
| p4(X0,X1,X0) ),
inference(resolution,[status(thm)],[c325,c232]) ).
cnf(d1,plain,
~ k2(c,e),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
q1(X0,X0,X0),
inference(resolution,[status(thm)],[c148,c19]) ).
cnf(d3,plain,
k2(X0,X0),
inference(resolution,[status(thm)],[c167,d2]) ).
cnf(d4,plain,
( ~ k0(X2)
| ~ l0(X1)
| ~ k2(X0,X2)
| k2(X1,X2)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[c165,c59]) ).
cnf(d5,plain,
( k2(X0,X1)
| ~ k1(X1)
| ~ k0(X1)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ k1(e)
| ~ k0(e)
| ~ l0(c) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ k1(e)
| ~ k0(e) ),
inference(resolution,[status(thm)],[c24,d6]) ).
cnf(d8,plain,
~ k1(e),
inference(resolution,[status(thm)],[c28,d7]) ).
cnf(d9,plain,
k1(e),
inference(resolution,[status(thm)],[c39,c30]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41 % Computer : n001.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sat Sep 26 17:35:14 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.38/4.55 % SZS status Unsatisfiable for theBenchmark.p
% 31.38/4.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------