%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN270-1 : 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 : n012.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 21.01s 3.28s
% Output : CNFRefutation 21.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of clauses : 64 ( 29 unt; 0 nHn; 52 RR)
% Number of literals : 128 ( 0 equ; 70 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 85 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p4(b,b,c) ).
cnf(axiom_1,axiom,
s0(d) ).
cnf(axiom_5,axiom,
s0(b) ).
cnf(axiom_9,axiom,
r0(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_24,axiom,
l0(c) ).
cnf(axiom_26,axiom,
n0(d,c) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_006,axiom,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ) ).
cnf(rule_029,axiom,
( ~ s0(X0)
| ~ p0(X0,X1)
| m1(X0,X1,X0) ) ).
cnf(rule_110,axiom,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ) ).
cnf(rule_124,axiom,
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(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_150,axiom,
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ) ).
cnf(rule_188,axiom,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ) ).
cnf(rule_267,axiom,
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ) ).
cnf(rule_272,axiom,
( ~ r3(X2,X0,X0)
| ~ r2(X2)
| ~ k2(X1,X2)
| r3(X0,X1,X2) ) ).
cnf(rule_285,axiom,
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ) ).
cnf(c0,plain,
~ p4(b,b,c),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c1,plain,
s0(d),
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c5,plain,
s0(b),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c9,plain,
r0(b),
inference(clausification,[status(esa)],[axiom_9]) ).
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(c24,plain,
l0(c),
inference(clausification,[status(esa)],[axiom_24]) ).
cnf(c26,plain,
n0(d,c),
inference(clausification,[status(esa)],[axiom_26]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c44,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_006]) ).
cnf(c67,plain,
( ~ s0(X0)
| ~ p0(X0,X1)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_029]) ).
cnf(c148,plain,
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_110]) ).
cnf(c162,plain,
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(clausification,[status(esa)],[rule_124]) ).
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(c188,plain,
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
inference(clausification,[status(esa)],[rule_150]) ).
cnf(c226,plain,
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(clausification,[status(esa)],[rule_188]) ).
cnf(c305,plain,
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_267]) ).
cnf(c310,plain,
( ~ r3(X2,X0,X0)
| ~ r2(X2)
| ~ k2(X1,X2)
| r3(X0,X1,X2) ),
inference(clausification,[status(esa)],[rule_272]) ).
cnf(c323,plain,
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ),
inference(clausification,[status(esa)],[rule_285]) ).
cnf(d0,plain,
q1(X0,X0,X0),
inference(resolution,[status(thm)],[c148,c19]) ).
cnf(d1,plain,
k2(X0,X0),
inference(resolution,[status(thm)],[c167,d0]) ).
cnf(d2,plain,
( ~ p0(X1,X2)
| ~ s0(X1)
| ~ k2(X0,X2)
| k2(X1,X2)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[c165,c67]) ).
cnf(d3,plain,
( k2(X0,X1)
| ~ k1(X1)
| ~ p0(X0,X1)
| ~ s0(X0) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( k2(b,X0)
| ~ k1(X0)
| ~ s0(b) ),
inference(resolution,[status(thm)],[d3,c14]) ).
cnf(d5,plain,
( k2(b,X0)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[c5,d4]) ).
cnf(d6,plain,
m1(X0,X0,X0),
inference(resolution,[status(thm)],[c44,c19]) ).
cnf(d7,plain,
p2(X0,X0,X0),
inference(resolution,[status(thm)],[c188,d6]) ).
cnf(d8,plain,
r3(X0,X0,X0),
inference(resolution,[status(thm)],[c305,d7]) ).
cnf(d9,plain,
( r3(X1,X0,X1)
| ~ r2(X1)
| ~ k2(X0,X1) ),
inference(resolution,[status(thm)],[c310,d8]) ).
cnf(d10,plain,
( ~ r0(X0)
| p4(X0,X0,X1)
| ~ r2(X1)
| ~ k2(X0,X1) ),
inference(resolution,[status(thm)],[d9,c323]) ).
cnf(d11,plain,
( ~ r2(c)
| ~ k2(b,c)
| ~ r0(b) ),
inference(resolution,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
( ~ r2(c)
| ~ k2(b,c) ),
inference(resolution,[status(thm)],[c9,d11]) ).
cnf(d13,plain,
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ),
inference(resolution,[status(thm)],[c1,c162]) ).
cnf(d14,plain,
( r1(X0)
| ~ q0(X0,d) ),
inference(resolution,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
r1(X0),
inference(resolution,[status(thm)],[c17,d14]) ).
cnf(d16,plain,
( r2(X0)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[d15,c226]) ).
cnf(d17,plain,
r2(c),
inference(resolution,[status(thm)],[d16,c24]) ).
cnf(d18,plain,
~ k2(b,c),
inference(resolution,[status(thm)],[d17,d12]) ).
cnf(d19,plain,
~ k1(c),
inference(resolution,[status(thm)],[d18,d5]) ).
cnf(d20,plain,
k1(c),
inference(resolution,[status(thm)],[c39,c26]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d20,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN270-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 17:27:51 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.01/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 21.01/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------