%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN250-1 : 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 : n011.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 09:21:39 AM UTC 2026
% Result : Unsatisfiable 8.87s 3.43s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 17 unt; 0 nHn; 34 RR)
% Number of literals : 76 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ m1(e,a,a) ).
cnf(axiom_6,axiom,
q0(b,b) ).
cnf(axiom_12,axiom,
m0(a,X0,a) ).
cnf(axiom_13,axiom,
r0(e) ).
cnf(axiom_21,axiom,
q0(b,e) ).
cnf(axiom_24,axiom,
l0(c) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( ~ n0(X1,X0)
| k1(X0) ) ).
cnf(rule_016,axiom,
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ) ).
cnf(rule_024,axiom,
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| ~ m0(a,X2,a)
| m1(X0,a,X1) ) ).
cnf(rule_034,axiom,
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ) ).
cnf(rule_035,axiom,
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ) ).
cnf(c0,plain,
~ m1(e,a,a),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c6,plain,
q0(b,b),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c12,plain,
m0(a,X0,a),
inference(clausification,[status(esa)],[axiom_12]) ).
cnf(c13,plain,
r0(e),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c21,plain,
q0(b,e),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c24,plain,
l0(c),
inference(clausification,[status(esa)],[axiom_24]) ).
cnf(c37,plain,
n0(b,a),
inference(clausification,[status(esa)],[axiom_37]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(clausification,[status(esa)],[rule_001]) ).
cnf(c54,plain,
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_016]) ).
cnf(c62,plain,
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| ~ m0(a,X2,a)
| m1(X0,a,X1) ),
inference(clausification,[status(esa)],[rule_024]) ).
cnf(c72,plain,
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
inference(clausification,[status(esa)],[rule_034]) ).
cnf(c73,plain,
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
inference(clausification,[status(esa)],[rule_035]) ).
cnf(d0,plain,
( ~ q0(X1,X0)
| m1(X1,a,X0)
| ~ m1(X0,c,X0) ),
inference(resolution,[status(thm)],[c12,c62]) ).
cnf(d1,plain,
( ~ q0(X1,X0)
| m1(X1,a,X0)
| ~ l0(c)
| ~ r0(X0) ),
inference(resolution,[status(thm)],[c73,d0]) ).
cnf(d2,plain,
( ~ r0(X1)
| ~ q0(X0,X1)
| m1(X0,a,X1) ),
inference(resolution,[status(thm)],[c24,d1]) ).
cnf(d3,plain,
k1(a),
inference(resolution,[status(thm)],[c39,c37]) ).
cnf(d4,plain,
( ~ k1(X1)
| ~ q0(X0,X0)
| m1(X0,X1,X1) ),
inference(resolution,[status(thm)],[d3,c72]) ).
cnf(d5,plain,
( ~ k1(X0)
| m1(b,X0,X0) ),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
( ~ m1(b,X0,X1)
| m1(X1,X0,X0)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[d5,c54]) ).
cnf(d7,plain,
( ~ r0(X0)
| ~ q0(b,X0)
| ~ k1(a)
| m1(X0,a,a) ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ~ r0(X0)
| ~ q0(b,X0)
| m1(X0,a,a) ),
inference(resolution,[status(thm)],[d3,d7]) ).
cnf(d9,plain,
( ~ r0(e)
| ~ q0(b,e) ),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
~ q0(b,e),
inference(resolution,[status(thm)],[c13,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c21,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:26:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.87/3.43 % SZS status Unsatisfiable for theBenchmark.p
% 8.87/3.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------