%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL019-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /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 : Tue Sep 29 09:37:11 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.25s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
Y != apply(combinator,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(c2,axiom,
apply(apply(apply(s,X),Y2),Z) = apply(apply(X,Z),apply(Y2,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
cnf(c3,plain,
apply(apply(apply(s,t),X3),X2) = apply(apply(t,X2),apply(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
apply(apply(t,X2),Y2) = apply(Y2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
cnf(c5,plain,
apply(apply(t,X2),apply(X3,X2)) = apply(apply(X3,X2),X2),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
apply(apply(apply(s,t),X3),X2) = apply(apply(X3,X2),X2),
inference(transitivity,[status(thm)],[c3,c5]) ).
cnf(c7,plain,
apply(apply(apply(s,t),apply(b,X3)),X2) = apply(apply(apply(b,X3),X2),X2),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,axiom,
apply(apply(apply(b,X2),Y2),Z2) = apply(X2,apply(Y2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(c9,plain,
apply(apply(apply(b,X3),X2),X2) = apply(X3,apply(X2,X2)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
apply(apply(apply(s,t),apply(b,X3)),X2) = apply(X3,apply(X2,X2)),
inference(transitivity,[status(thm)],[c7,c9]) ).
cnf(c11,plain,
apply(apply(apply(s,t),apply(b,combinator)),apply(apply(s,t),apply(b,combinator))) = apply(combinator,apply(apply(apply(s,t),apply(b,combinator)),apply(apply(s,t),apply(b,combinator)))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
$false,
inference(resolution,[status(thm)],[c1,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL019-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n014.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 21:29:45 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.25 Command-line arguments: --flatten-regeneralise
% 0.06/0.25
% 0.06/0.25 % SZS status Unsatisfiable
% 0.06/0.25
% 0.06/0.25 % SZS output start CNFRefutation
% See solution above
% 0.06/0.25
% 0.06/0.25 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------