%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN142-1 : 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 : 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 09:21:24 AM UTC 2026
% Result : Unsatisfiable 22.17s 3.73s
% Output : CNFRefutation 22.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of clauses : 86 ( 33 unt; 0 nHn; 62 RR)
% Number of literals : 181 ( 0 equ; 98 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 135 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ m5(d,X0) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_17,axiom,
q0(X0,d) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_20,axiom,
l0(a) ).
cnf(axiom_32,axiom,
k0(b) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_002,axiom,
( ~ n0(X1,X0)
| l1(X0,X0) ) ).
cnf(rule_050,axiom,
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ) ).
cnf(rule_054,axiom,
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_125,axiom,
( ~ p0(X0,X0)
| s1(X0) ) ).
cnf(rule_126,axiom,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ) ).
cnf(rule_133,axiom,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ) ).
cnf(rule_137,axiom,
( ~ p1(X1,X2,X0)
| n2(X0) ) ).
cnf(rule_177,axiom,
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ) ).
cnf(rule_181,axiom,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ) ).
cnf(rule_182,axiom,
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ) ).
cnf(rule_189,axiom,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ) ).
cnf(rule_244,axiom,
( ~ n2(X0)
| p3(X0,X0,X0) ) ).
cnf(rule_273,axiom,
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ) ).
cnf(rule_279,axiom,
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ) ).
cnf(rule_299,axiom,
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ) ).
cnf(rule_305,axiom,
( ~ m4(e,e)
| ~ s4(X0)
| m5(X0,X0) ) ).
cnf(c0,plain,
~ m5(d,X0),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c5,plain,
s0(b),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c14,plain,
p0(b,X0),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c17,plain,
q0(X0,d),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c19,plain,
m0(X0,d,X1),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c20,plain,
l0(a),
inference(clausification,[status(esa)],[axiom_20]) ).
cnf(c32,plain,
k0(b),
inference(clausification,[status(esa)],[axiom_32]) ).
cnf(c34,plain,
n0(c,d),
inference(clausification,[status(esa)],[axiom_34]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c40,plain,
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(clausification,[status(esa)],[rule_002]) ).
cnf(c88,plain,
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_050]) ).
cnf(c92,plain,
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_054]) ).
cnf(c123,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_085]) ).
cnf(c163,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(clausification,[status(esa)],[rule_125]) ).
cnf(c164,plain,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(clausification,[status(esa)],[rule_126]) ).
cnf(c171,plain,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(clausification,[status(esa)],[rule_133]) ).
cnf(c175,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(clausification,[status(esa)],[rule_137]) ).
cnf(c215,plain,
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_177]) ).
cnf(c219,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_181]) ).
cnf(c220,plain,
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_182]) ).
cnf(c227,plain,
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(clausification,[status(esa)],[rule_189]) ).
cnf(c282,plain,
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_244]) ).
cnf(c311,plain,
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
inference(clausification,[status(esa)],[rule_273]) ).
cnf(c317,plain,
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
inference(clausification,[status(esa)],[rule_279]) ).
cnf(c337,plain,
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
inference(clausification,[status(esa)],[rule_299]) ).
cnf(c343,plain,
( ~ m4(e,e)
| ~ s4(X0)
| m5(X0,X0) ),
inference(clausification,[status(esa)],[rule_305]) ).
cnf(d0,plain,
( l2(X1,X1)
| ~ s1(d)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[c171,c19]) ).
cnf(d1,plain,
s1(b),
inference(resolution,[status(thm)],[c163,c14]) ).
cnf(d2,plain,
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[c164,c17]) ).
cnf(d3,plain,
s1(X0),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( l2(X1,X1)
| ~ p0(X0,X0) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
l2(X0,X0),
inference(resolution,[status(thm)],[d4,c14]) ).
cnf(d6,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d7,plain,
q2(X0,X0,X0),
inference(resolution,[status(thm)],[d6,c219]) ).
cnf(d8,plain,
( s3(X0,X2)
| ~ s2(X0)
| ~ m0(X0,X1,X2) ),
inference(resolution,[status(thm)],[c311,d7]) ).
cnf(d9,plain,
( s3(X0,X1)
| ~ s2(X0) ),
inference(resolution,[status(thm)],[d8,c19]) ).
cnf(d10,plain,
( m4(X2,X1)
| ~ l2(X0,X1)
| ~ s2(a) ),
inference(resolution,[status(thm)],[d9,c317]) ).
cnf(d11,plain,
( s2(X0)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[d3,c227]) ).
cnf(d12,plain,
l1(a,a),
inference(resolution,[status(thm)],[c40,c37]) ).
cnf(d13,plain,
( n1(X1,X0,X1)
| ~ l0(X1)
| ~ p0(b,X0) ),
inference(resolution,[status(thm)],[c5,c88]) ).
cnf(d14,plain,
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[c14,d13]) ).
cnf(d15,plain,
( ~ l0(X1)
| n1(X1,X2,X2)
| ~ l1(X0,X1)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[c92,d14]) ).
cnf(d16,plain,
( n1(a,X0,X0)
| ~ l0(a)
| ~ l0(a) ),
inference(resolution,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
n1(a,X0,X0),
inference(resolution,[status(thm)],[c20,d16]) ).
cnf(d18,plain,
( q2(X1,X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d6,c215]) ).
cnf(d19,plain,
( ~ k0(X1)
| q2(X1,X0,X1)
| ~ p1(X1,X1,X1)
| ~ n1(X0,X1,X1) ),
inference(resolution,[status(thm)],[c220,d18]) ).
cnf(d20,plain,
( q2(X0,X1,X0)
| ~ n1(X1,X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d6,d19]) ).
cnf(d21,plain,
( q2(X0,a,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
( s2(a)
| ~ k0(b) ),
inference(resolution,[status(thm)],[d21,d11]) ).
cnf(d23,plain,
s2(a),
inference(resolution,[status(thm)],[c32,d22]) ).
cnf(d24,plain,
( m4(X2,X1)
| ~ l2(X0,X1) ),
inference(resolution,[status(thm)],[d23,d10]) ).
cnf(d25,plain,
m4(X0,X1),
inference(resolution,[status(thm)],[d24,d5]) ).
cnf(d26,plain,
( ~ s4(X0)
| m5(X0,X0) ),
inference(resolution,[status(thm)],[d25,c343]) ).
cnf(d27,plain,
~ s4(d),
inference(resolution,[status(thm)],[d26,c0]) ).
cnf(d28,plain,
l1(d,d),
inference(resolution,[status(thm)],[c40,c34]) ).
cnf(d29,plain,
n2(X0),
inference(resolution,[status(thm)],[d6,c175]) ).
cnf(d30,plain,
p3(X0,X0,X0),
inference(resolution,[status(thm)],[d29,c282]) ).
cnf(d31,plain,
( s4(X0)
| ~ l1(X0,X1) ),
inference(resolution,[status(thm)],[c337,d30]) ).
cnf(d32,plain,
s4(d),
inference(resolution,[status(thm)],[d31,d28]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d32,d27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 17:15:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.17/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 22.17/3.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------