%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN266-1 : 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 : n010.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 09:21:41 AM UTC 2026
% Result : Unsatisfiable 22.19s 4.23s
% Output : CNFRefutation 22.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 17 unt; 0 nHn; 28 RR)
% Number of literals : 66 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 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 : 60 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p3(b,e,e) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_31,axiom,
m0(b,b,e) ).
cnf(rule_005,axiom,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ) ).
cnf(rule_059,axiom,
( ~ m0(X1,X2,X0)
| ~ m0(X2,X3,X3)
| n1(X0,X0,X1) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_137,axiom,
( ~ p1(X1,X2,X0)
| n2(X0) ) ).
cnf(rule_152,axiom,
( ~ p2(X0,X1,X0)
| ~ p0(X0,X1)
| ~ n1(X2,X1,X2)
| p2(X0,X1,X1) ) ).
cnf(rule_176,axiom,
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ) ).
cnf(rule_236,axiom,
( ~ n2(X0)
| m3(X0,X0,X0) ) ).
cnf(rule_251,axiom,
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| p3(X0,X1,X1) ) ).
cnf(c0,plain,
~ p3(b,e,e),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c19,plain,
m0(X0,d,X1),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c31,plain,
m0(b,b,e),
inference(clausification,[status(esa)],[axiom_31]) ).
cnf(c43,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_005]) ).
cnf(c97,plain,
( ~ m0(X1,X2,X0)
| ~ m0(X2,X3,X3)
| n1(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_059]) ).
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(c190,plain,
( ~ p2(X0,X1,X0)
| ~ p0(X0,X1)
| ~ n1(X2,X1,X2)
| p2(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_152]) ).
cnf(c214,plain,
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_176]) ).
cnf(c274,plain,
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_236]) ).
cnf(c289,plain,
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| p3(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_251]) ).
cnf(d0,plain,
( n1(X1,X1,X2)
| ~ m0(d,X0,X0) ),
inference(resolution,[status(thm)],[c97,c19]) ).
cnf(d1,plain,
n1(X0,X0,X1),
inference(resolution,[status(thm)],[d0,c19]) ).
cnf(d2,plain,
m1(e,b,e),
inference(resolution,[status(thm)],[c43,c31]) ).
cnf(d3,plain,
p2(b,e,b),
inference(resolution,[status(thm)],[c214,d2]) ).
cnf(d4,plain,
( p2(b,e,e)
| ~ n1(X0,e,X0)
| ~ p0(b,e) ),
inference(resolution,[status(thm)],[d3,c190]) ).
cnf(d5,plain,
( p2(b,e,e)
| ~ n1(X0,e,X0) ),
inference(resolution,[status(thm)],[c14,d4]) ).
cnf(d6,plain,
p2(b,e,e),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d8,plain,
n2(X0),
inference(resolution,[status(thm)],[d7,c175]) ).
cnf(d9,plain,
m3(X0,X0,X0),
inference(resolution,[status(thm)],[d8,c274]) ).
cnf(d10,plain,
( ~ p2(X0,X1,X1)
| p3(X0,X1,X1) ),
inference(resolution,[status(thm)],[c289,d9]) ).
cnf(d11,plain,
p3(b,e,e),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c0,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n010.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 17:28:32 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.19/4.23 % SZS status Unsatisfiable for theBenchmark.p
% 22.19/4.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------