%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 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 07:53:51 AM UTC 2026
% Result : Unsatisfiable 17.03s 3.68s
% Output : CNFRefutation 17.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 16 unt; 0 nHn; 14 RR)
% Number of literals : 28 ( 13 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(antecedent,negated_conjecture,
ordered(x,y) ).
cnf(prove_wajsberg_theorem,negated_conjecture,
~ ordered(implies(z,x),implies(z,y)) ).
cnf(wajsberg_1,axiom,
implies(truth,X0) = X0 ).
cnf(wajsberg_2,axiom,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth ).
cnf(partial_order_definition1,axiom,
( implies(X0,X1) = truth
| ~ ordered(X0,X1) ) ).
cnf(partial_order_definition2,axiom,
( ordered(X0,X1)
| implies(X0,X1) != truth ) ).
cnf(c0,plain,
ordered(x,y),
inference(clausification,[status(esa)],[antecedent]) ).
cnf(c1,plain,
~ ordered(implies(z,x),implies(z,y)),
inference(clausification,[status(esa)],[prove_wajsberg_theorem]) ).
cnf(c2,plain,
implies(truth,X0) = X0,
inference(clausification,[status(esa)],[wajsberg_1]) ).
cnf(c3,plain,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(clausification,[status(esa)],[wajsberg_2]) ).
cnf(c8,plain,
( implies(X0,X1) = truth
| ~ ordered(X0,X1) ),
inference(clausification,[status(esa)],[partial_order_definition1]) ).
cnf(c9,plain,
( ordered(X0,X1)
| implies(X0,X1) != truth ),
inference(clausification,[status(esa)],[partial_order_definition2]) ).
cnf(d0,plain,
( ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))
| truth != truth ),
inference(superposition,[status(thm)],[c3,c9]) ).
cnf(d1,plain,
( ordered(truth,X0)
| X0 != truth ),
inference(superposition,[status(thm)],[c2,c9]) ).
cnf(d2,plain,
ordered(truth,truth),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
implies(truth,truth) = truth,
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
truth = truth,
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
implies(x,y) = truth,
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(d7,plain,
ordered(implies(X0,x),implies(truth,implies(X0,y))),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
ordered(implies(X0,x),implies(X0,y)),
inference(demodulation,[status(thm)],[d7,c2]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 21:54:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.03/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 17.03/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------