%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN039-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 09:20:54 AM UTC 2026
% Result : Unsatisfiable 27.09s 3.83s
% Output : CNFRefutation 27.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of clauses : 49 ( 6 unt; 24 nHn; 8 RR)
% Number of literals : 134 ( 0 equ; 49 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 196 ( 91 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_2,negated_conjecture,
( q(f1(X0,X1),X2)
| ~ s(X0,f1(X0,X1))
| p(f1(X0,X1),f1(X0,X1)) ) ).
cnf(c_5,negated_conjecture,
( q(f1(X0,X1),X3)
| s(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) ) ).
cnf(c_9,negated_conjecture,
( ~ s(X1,X1)
| ~ q(X2,X2)
| p(f1(X0,X1),f1(X0,X1)) ) ).
cnf(c_12,negated_conjecture,
( ~ s(X1,X1)
| ~ s(X0,f1(X0,X1))
| ~ p(X0,X0) ) ).
cnf(c_14,negated_conjecture,
( q(f1(X0,X1),X3)
| s(f1(X0,X1),X2)
| ~ p(X0,X0) ) ).
cnf(c_18,negated_conjecture,
( ~ s(X2,X2)
| ~ q(X1,X1)
| ~ p(X0,X0) ) ).
cnf(c_21,negated_conjecture,
( ~ s(X2,X2)
| ~ s(X1,f1(X1,X2))
| s(X0,X1) ) ).
cnf(c_25,negated_conjecture,
( ~ q(X3,f1(X1,X3))
| ~ q(X2,X2)
| s(X0,X1) ) ).
cnf(c_27,negated_conjecture,
( ~ s(X3,X3)
| ~ q(X2,X2)
| s(X0,X1) ) ).
cnf(c1,plain,
( q(f1(X0,X1),X2)
| ~ s(X0,f1(X0,X1))
| p(f1(X0,X1),f1(X0,X1)) ),
inference(clausification,[status(esa)],[c_2]) ).
cnf(c4,plain,
( q(f1(X0,X1),X3)
| s(f1(X0,X1),X2)
| p(f1(X0,X1),f1(X0,X1)) ),
inference(clausification,[status(esa)],[c_5]) ).
cnf(c8,plain,
( ~ s(X1,X1)
| ~ q(X2,X2)
| p(f1(X0,X1),f1(X0,X1)) ),
inference(clausification,[status(esa)],[c_9]) ).
cnf(c11,plain,
( ~ s(X1,X1)
| ~ s(X0,f1(X0,X1))
| ~ p(X0,X0) ),
inference(clausification,[status(esa)],[c_12]) ).
cnf(c13,plain,
( q(f1(X0,X1),X3)
| s(f1(X0,X1),X2)
| ~ p(X0,X0) ),
inference(clausification,[status(esa)],[c_14]) ).
cnf(c17,plain,
( ~ s(X2,X2)
| ~ q(X1,X1)
| ~ p(X0,X0) ),
inference(clausification,[status(esa)],[c_18]) ).
cnf(c20,plain,
( ~ s(X2,X2)
| ~ s(X1,f1(X1,X2))
| s(X0,X1) ),
inference(clausification,[status(esa)],[c_21]) ).
cnf(c24,plain,
( ~ q(X3,f1(X1,X3))
| ~ q(X2,X2)
| s(X0,X1) ),
inference(clausification,[status(esa)],[c_25]) ).
cnf(c26,plain,
( ~ s(X3,X3)
| ~ q(X2,X2)
| s(X0,X1) ),
inference(clausification,[status(esa)],[c_27]) ).
cnf(d0,plain,
( p(f1(X3,X4),f1(X3,X4))
| s(f1(X3,X4),X5)
| ~ q(X2,X2)
| s(X0,X1) ),
inference(resolution,[status(thm)],[c24,c4]) ).
cnf(d1,plain,
( p(f1(X5,X6),f1(X5,X6))
| s(f1(X5,X6),X7)
| p(f1(X2,X3),f1(X2,X3))
| s(f1(X2,X3),X4)
| s(X0,X1) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( p(f1(X2,X3),f1(X2,X3))
| p(f1(X2,X3),f1(X2,X3))
| s(f1(X2,X3),X4)
| s(X0,X1) ),
inference(factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
( p(f1(X0,X1),f1(X0,X1))
| s(f1(X0,X1),X2) ),
inference(factoring,[status(thm)],[d2]) ).
cnf(d4,plain,
( p(f1(X1,X2),f1(X1,X2))
| q(f1(X1,X2),X4)
| ~ s(X3,X3)
| s(X0,f1(X1,X2)) ),
inference(resolution,[status(thm)],[c20,c4]) ).
cnf(d5,plain,
( p(f1(X4,X5),f1(X4,X5))
| q(f1(X4,X5),X6)
| p(f1(X1,X2),f1(X1,X2))
| q(f1(X1,X2),X3)
| s(X0,f1(X1,X2)) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( p(f1(X1,X2),f1(X1,X2))
| p(f1(X1,X2),f1(X1,X2))
| q(f1(X1,X2),X3)
| s(X0,f1(X1,X2)) ),
inference(factoring,[status(thm)],[d5]) ).
cnf(d7,plain,
( p(f1(X0,X1),f1(X0,X1))
| q(f1(X0,X1),X3)
| p(f1(X0,X1),f1(X0,X1))
| q(f1(X0,X1),X2) ),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
( p(f1(X0,X1),f1(X0,X1))
| q(f1(X0,X1),X2) ),
inference(factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
( ~ s(X4,X4)
| s(X2,X3)
| p(f1(X0,X1),f1(X0,X1)) ),
inference(resolution,[status(thm)],[d8,c26]) ).
cnf(d10,plain,
( p(f1(X4,X5),f1(X4,X5))
| p(f1(X2,X3),f1(X2,X3))
| s(X0,X1) ),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
( p(f1(X2,X3),f1(X2,X3))
| s(X0,X1) ),
inference(factoring,[status(thm)],[d10]) ).
cnf(d12,plain,
( q(f1(f1(X2,X3),X4),X6)
| s(f1(f1(X2,X3),X4),X5)
| s(X0,X1) ),
inference(resolution,[status(thm)],[d11,c13]) ).
cnf(d13,plain,
( q(f1(f1(X0,X1),X2),X4)
| s(f1(f1(X0,X1),X2),X3) ),
inference(factoring,[status(thm)],[d12]) ).
cnf(d14,plain,
( ~ q(X6,X6)
| s(X4,X5)
| s(f1(f1(X0,X1),X2),X3) ),
inference(resolution,[status(thm)],[d13,c24]) ).
cnf(d15,plain,
( s(f1(f1(X6,X7),X8),X9)
| s(f1(f1(X2,X3),X4),X5)
| s(X0,X1) ),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( s(f1(f1(X2,X3),X4),X5)
| s(X0,X1) ),
inference(factoring,[status(thm)],[d15]) ).
cnf(d17,plain,
s(f1(f1(X0,X1),X2),X3),
inference(factoring,[status(thm)],[d16]) ).
cnf(d18,plain,
( ~ s(X4,X4)
| s(X0,f1(f1(X1,X2),X3)) ),
inference(resolution,[status(thm)],[d17,c20]) ).
cnf(d19,plain,
s(X0,f1(f1(X1,X2),X3)),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( ~ s(X3,X3)
| s(X0,f1(X1,X2)) ),
inference(resolution,[status(thm)],[d19,c20]) ).
cnf(d21,plain,
s(X0,f1(X1,X2)),
inference(resolution,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
( p(f1(X3,X2),f1(X3,X2))
| ~ s(X2,X2)
| p(f1(X0,X1),f1(X0,X1)) ),
inference(resolution,[status(thm)],[d8,c8]) ).
cnf(d23,plain,
( p(f1(X1,X0),f1(X1,X0))
| ~ s(X0,X0) ),
inference(factoring,[status(thm)],[d22]) ).
cnf(d24,plain,
( ~ q(X2,X2)
| ~ s(X1,X1)
| ~ s(X0,X0) ),
inference(resolution,[status(thm)],[d23,c17]) ).
cnf(d25,plain,
( p(f1(X2,X3),f1(X2,X3))
| ~ s(X1,X1)
| ~ s(X0,X0) ),
inference(resolution,[status(thm)],[d24,d8]) ).
cnf(d26,plain,
( p(f1(X1,X2),f1(X1,X2))
| ~ s(X0,X0) ),
inference(resolution,[status(thm)],[d17,d25]) ).
cnf(d27,plain,
p(f1(X0,X1),f1(X0,X1)),
inference(resolution,[status(thm)],[d26,d17]) ).
cnf(d28,plain,
( ~ p(X1,X1)
| ~ s(X0,X0) ),
inference(resolution,[status(thm)],[d21,c11]) ).
cnf(d29,plain,
~ s(X0,X0),
inference(resolution,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
$false,
inference(resolution,[status(thm)],[d29,d21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN039-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.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 17:05:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.09/3.83 % SZS status Unsatisfiable for theBenchmark.p
% 27.09/3.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------