%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN163-1 : 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 : n013.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 09:21:27 AM UTC 2026
% Result : Unsatisfiable 21.44s 13.05s
% Output : CNFRefutation 21.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of clauses : 86 ( 35 unt; 0 nHn; 65 RR)
% Number of literals : 171 ( 0 equ; 87 neg)
% Maximal clause size : 5 ( 1 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 : 138 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ n5(e,a) ).
cnf(axiom_13,axiom,
r0(e) ).
cnf(axiom_14,axiom,
p0(b,X0) ).
cnf(axiom_18,axiom,
p0(c,b) ).
cnf(axiom_19,axiom,
m0(X0,d,X1) ).
cnf(axiom_27,axiom,
m0(e,b,c) ).
cnf(axiom_30,axiom,
n0(e,e) ).
cnf(axiom_34,axiom,
n0(c,d) ).
cnf(rule_003,axiom,
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ) ).
cnf(rule_006,axiom,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ) ).
cnf(rule_085,axiom,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ) ).
cnf(rule_137,axiom,
( ~ p1(X1,X2,X0)
| n2(X0) ) ).
cnf(rule_150,axiom,
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ) ).
cnf(rule_181,axiom,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ) ).
cnf(rule_186,axiom,
( ~ l1(X1,X0)
| q2(X0,X0,X1) ) ).
cnf(rule_210,axiom,
( ~ n2(X0)
| k3(X0,X0,X0) ) ).
cnf(rule_236,axiom,
( ~ n2(X0)
| m3(X0,X0,X0) ) ).
cnf(rule_240,axiom,
( ~ p2(X1,X2,X0)
| n3(X0) ) ).
cnf(rule_255,axiom,
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ) ).
cnf(rule_274,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ) ).
cnf(rule_284,axiom,
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ) ).
cnf(rule_287,axiom,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ) ).
cnf(rule_295,axiom,
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ) ).
cnf(rule_298,axiom,
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ) ).
cnf(rule_307,axiom,
( ~ n5(X4,X1)
| ~ p4(X4,X4,X1)
| ~ n4(X0,X3)
| ~ q4(X2,X3)
| n5(X0,X1) ) ).
cnf(rule_314,axiom,
( ~ r4(X0)
| n5(X0,X0) ) ).
cnf(c0,plain,
~ n5(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(c18,plain,
p0(c,b),
inference(clausification,[status(esa)],[axiom_18]) ).
cnf(c19,plain,
m0(X0,d,X1),
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c27,plain,
m0(e,b,c),
inference(clausification,[status(esa)],[axiom_27]) ).
cnf(c30,plain,
n0(e,e),
inference(clausification,[status(esa)],[axiom_30]) ).
cnf(c34,plain,
n0(c,d),
inference(clausification,[status(esa)],[axiom_34]) ).
cnf(c41,plain,
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(clausification,[status(esa)],[rule_003]) ).
cnf(c44,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_006]) ).
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(c188,plain,
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_150]) ).
cnf(c219,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_181]) ).
cnf(c224,plain,
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_186]) ).
cnf(c248,plain,
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_210]) ).
cnf(c274,plain,
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_236]) ).
cnf(c278,plain,
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(clausification,[status(esa)],[rule_240]) ).
cnf(c293,plain,
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(clausification,[status(esa)],[rule_255]) ).
cnf(c312,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(clausification,[status(esa)],[rule_274]) ).
cnf(c322,plain,
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ),
inference(clausification,[status(esa)],[rule_284]) ).
cnf(c325,plain,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_287]) ).
cnf(c333,plain,
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(clausification,[status(esa)],[rule_295]) ).
cnf(c336,plain,
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
inference(clausification,[status(esa)],[rule_298]) ).
cnf(c345,plain,
( ~ q4(X4,X1)
| n5(X0,X3)
| ~ p4(X2,X2,X3)
| ~ n5(X2,X3)
| ~ n4(X0,X1) ),
inference(clausification,[status(esa)],[rule_307]) ).
cnf(c352,plain,
( ~ r4(X0)
| n5(X0,X0) ),
inference(clausification,[status(esa)],[rule_314]) ).
cnf(d0,plain,
p1(X0,X0,X0),
inference(resolution,[status(thm)],[c123,c14]) ).
cnf(d1,plain,
n2(X0),
inference(resolution,[status(thm)],[d0,c175]) ).
cnf(d2,plain,
m3(X0,X0,X0),
inference(resolution,[status(thm)],[d1,c274]) ).
cnf(d3,plain,
( n4(X1,X1)
| ~ k4(X0) ),
inference(resolution,[status(thm)],[d2,c322]) ).
cnf(d4,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c34,c312]) ).
cnf(d5,plain,
m1(X0,X0,X0),
inference(resolution,[status(thm)],[c44,c19]) ).
cnf(d6,plain,
p2(X0,X0,X0),
inference(resolution,[status(thm)],[c188,d5]) ).
cnf(d7,plain,
n3(X0),
inference(resolution,[status(thm)],[c278,d6]) ).
cnf(d8,plain,
( k4(c)
| ~ q3(e,b) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ r0(X0) ),
inference(resolution,[status(thm)],[c41,c27]) ).
cnf(d10,plain,
( l1(b,e)
| ~ r0(X0) ),
inference(resolution,[status(thm)],[c18,d9]) ).
cnf(d11,plain,
l1(b,e),
inference(resolution,[status(thm)],[d10,c13]) ).
cnf(d12,plain,
( ~ l1(X1,X0)
| q3(X0,X1)
| ~ n0(X0,X0) ),
inference(resolution,[status(thm)],[c293,c224]) ).
cnf(d13,plain,
( q3(e,b)
| ~ n0(e,e) ),
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
q3(e,b),
inference(resolution,[status(thm)],[c30,d13]) ).
cnf(d15,plain,
k4(c),
inference(resolution,[status(thm)],[d14,d8]) ).
cnf(d16,plain,
n4(X0,X0),
inference(resolution,[status(thm)],[d15,d3]) ).
cnf(d17,plain,
k3(X0,X0,X0),
inference(resolution,[status(thm)],[d1,c248]) ).
cnf(d18,plain,
p4(X0,X0,X0),
inference(resolution,[status(thm)],[c325,d17]) ).
cnf(d19,plain,
( ~ q4(X3,X2)
| ~ n4(X1,X2)
| n5(X1,X0)
| ~ n5(X0,X0) ),
inference(resolution,[status(thm)],[c345,d18]) ).
cnf(d20,plain,
( r4(X1)
| ~ q3(X2,X3)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[d7,c336]) ).
cnf(d21,plain,
q2(X0,X0,X0),
inference(resolution,[status(thm)],[d0,c219]) ).
cnf(d22,plain,
( q3(X0,X0)
| ~ n0(X0,X0) ),
inference(resolution,[status(thm)],[c293,d21]) ).
cnf(d23,plain,
q3(e,e),
inference(resolution,[status(thm)],[d22,c30]) ).
cnf(d24,plain,
( r4(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
r4(X0),
inference(resolution,[status(thm)],[d24,c14]) ).
cnf(d26,plain,
n5(X0,X0),
inference(resolution,[status(thm)],[d25,c352]) ).
cnf(d27,plain,
( ~ q4(X3,X2)
| ~ n4(X0,X2)
| n5(X0,X1) ),
inference(resolution,[status(thm)],[d26,d19]) ).
cnf(d28,plain,
( q4(X2,X1)
| ~ k3(X3,X3,X2)
| ~ q2(X0,X1,X2) ),
inference(resolution,[status(thm)],[c333,d2]) ).
cnf(d29,plain,
( q4(X2,X1)
| ~ q2(X0,X1,X2) ),
inference(resolution,[status(thm)],[d28,d17]) ).
cnf(d30,plain,
q4(X0,X0),
inference(resolution,[status(thm)],[d29,d21]) ).
cnf(d31,plain,
( ~ n4(X0,X2)
| n5(X0,X1) ),
inference(resolution,[status(thm)],[d30,d27]) ).
cnf(d32,plain,
n5(X0,X1),
inference(resolution,[status(thm)],[d31,d16]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d32,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.38 % Computer : n013.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Sat Sep 26 17:16:59 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.44/13.05 % SZS status Unsatisfiable for theBenchmark.p
% 21.44/13.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------