%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 07:48:36 AM UTC 2026
% Result : Unsatisfiable 72.86s 15.51s
% Output : CNFRefutation 72.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 3 RR)
% Number of literals : 44 ( 43 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 122 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos,axiom,
f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1 ).
cnf(goals,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)) ).
cnf(c0,plain,
f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(clausification,[status(esa)],[sos]) ).
cnf(c1,plain,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
inference(clausification,[status(esa)],[goals]) ).
cnf(d0,plain,
f(f(X1,X3),f(X1,f(f(X1,f(f(f(f(X0,X1),f(X1,X2)),f(f(X0,X1),f(X1,X2))),f(f(X0,X1),f(X1,X2)))),f(f(X1,f(f(X0,X0),X0)),X2)))) = X1,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
f(f(X1,X0),f(X0,X0)) = X0,
inference(superposition,[status(thm)],[d0,d1]) ).
cnf(d3,plain,
f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X0,X1),f(X0,X1)),f(X0,X1))),X3))) = f(X1,X2),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d4,plain,
f(X0,f(f(X0,X1),f(f(f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))),X3))),f(f(f(X4,X0),f(X4,X0)),f(X4,X0))),X5))) = f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))),X3))),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d5,plain,
f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X4,X0),f(X4,X0)),f(X4,X0))),X5))) = f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))),X3))),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
f(X0,X1) = f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X4,X0),f(X4,X0)),f(X4,X0))),X5))),
inference(demodulation,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
f(X0,f(f(X0,X1),f(X0,X1))) = f(X0,X1),
inference(superposition,[status(thm)],[d0,d3]) ).
cnf(d8,plain,
f(f(X1,X2),f(X1,f(f(X1,f(f(X0,X0),X0)),X1))) = X1,
inference(superposition,[status(thm)],[d2,c0]) ).
cnf(d9,plain,
f(X0,X0) = f(X0,f(f(X0,f(f(X1,X1),X1)),X0)),
inference(superposition,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(superposition,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
f(X0,f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0)))) = f(X0,X1),
inference(superposition,[status(thm)],[d3,d3]) ).
cnf(d12,plain,
f(f(f(f(X1,X0),f(X0,f(f(f(X2,X0),f(X2,X0)),f(X2,X0)))),X3),f(X0,f(f(X1,X1),X1))) = X0,
inference(superposition,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
f(f(X1,f(X0,X0)),X0) = f(X0,X0),
inference(superposition,[status(thm)],[d2,d2]) ).
cnf(d14,plain,
f(f(X1,f(f(X0,X0),X0)),f(X1,f(f(X0,X0),X0))) = X1,
inference(superposition,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
f(X0,f(f(X1,X1),X1)) = f(X0,X0),
inference(superposition,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
f(f(X0,X0),f(f(X1,X1),X1)) = X0,
inference(superposition,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
f(f(X0,X2),f(X0,X0)) = X0,
inference(demodulation,[status(thm)],[d8,d9]) ).
cnf(d18,plain,
f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)) = f(f(X0,X1),f(X1,X2)),
inference(superposition,[status(thm)],[c0,d3]) ).
cnf(d19,plain,
f(f(f(X0,X0),X1),X0) = f(X0,X0),
inference(superposition,[status(thm)],[d17,d17]) ).
cnf(d20,plain,
f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
X0 = f(f(X0,X0),f(X0,X1)),
inference(demodulation,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
f(X0,X1) = f(f(f(X0,X1),f(X0,X1)),X0),
inference(superposition,[status(thm)],[d17,d21]) ).
cnf(d23,plain,
f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))),f(f(f(X4,f(f(f(X0,X1),f(X1,X2)),X3)),f(X4,f(f(f(X0,X1),f(X1,X2)),X3))),f(X4,f(f(f(X0,X1),f(X1,X2)),X3)))),X5))) = f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))),
inference(superposition,[status(thm)],[c0,d3]) ).
cnf(d24,plain,
f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(f(X4,f(f(f(X0,X1),f(X1,X2)),X3)),f(X4,f(f(f(X0,X1),f(X1,X2)),X3))),f(X4,f(f(f(X0,X1),f(X1,X2)),X3)))),X5))) = f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))),
inference(demodulation,[status(thm)],[d23,c0]) ).
cnf(d25,plain,
f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(f(X4,f(f(f(X0,X1),f(X1,X2)),X3)),f(X4,f(f(f(X0,X1),f(X1,X2)),X3))),f(X4,f(f(f(X0,X1),f(X1,X2)),X3)))),X5))) = X1,
inference(demodulation,[status(thm)],[d24,c0]) ).
cnf(d26,plain,
f(f(f(f(X2,X0),f(X0,X3)),X4),f(X0,X0)) = X0,
inference(superposition,[status(thm)],[d9,d25]) ).
cnf(d27,plain,
f(f(X0,X0),f(X0,X1)) = X0,
inference(superposition,[status(thm)],[d26,d22]) ).
cnf(d28,plain,
f(f(f(X0,X1),f(X0,X1)),X1) = f(X0,X1),
inference(superposition,[status(thm)],[d2,d27]) ).
cnf(d29,plain,
X1 = f(f(X0,X1),f(X1,X1)),
inference(superposition,[status(thm)],[d26,d28]) ).
cnf(d30,plain,
X0 = f(f(X0,X1),f(X0,X0)),
inference(superposition,[status(thm)],[d22,d29]) ).
cnf(d31,plain,
f(f(X1,X1),f(X0,f(X0,X0))) = X1,
inference(superposition,[status(thm)],[d30,d16]) ).
cnf(d32,plain,
X0 = f(f(X2,X0),f(X0,f(f(X1,X1),X1))),
inference(superposition,[status(thm)],[d15,d29]) ).
cnf(d33,plain,
f(X1,f(f(X0,X1),f(X0,X1))) = f(X0,X1),
inference(superposition,[status(thm)],[d2,d17]) ).
cnf(d34,plain,
X0 = f(f(X0,X0),f(X1,X0)),
inference(superposition,[status(thm)],[d33,d21]) ).
cnf(d35,plain,
X0 = f(f(X0,f(f(X1,X1),X1)),f(X2,X0)),
inference(superposition,[status(thm)],[d15,d34]) ).
cnf(d36,plain,
f(f(X1,X1),X1) = f(f(X0,X0),X0),
inference(superposition,[status(thm)],[d35,d32]) ).
cnf(d37,plain,
f(f(X1,X1),X1) = f(X0,f(X0,X0)),
inference(superposition,[status(thm)],[d36,d31]) ).
cnf(d38,plain,
f(X1,f(X1,X1)) = f(X2,f(X2,X2)),
inference(superposition,[status(thm)],[d37,d37]) ).
cnf(d39,plain,
$false,
inference(resolution,[status(thm)],[d38,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 : Fri Sep 25 21:43:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.86/15.51 % SZS status Unsatisfiable for theBenchmark.p
% 72.86/15.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------