%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(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 : Thu Sep 24 02:11:01 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,conjecture,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,axiom,
! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
? [A,B] : union(unordered_pair(A,B)) != set_union2(A,B),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
union(unordered_pair(sK2_skl,sK3_skl)) != set_union2(sK2_skl,sK3_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f25]) ).
fof(f27,plain,
union(unordered_pair(sK2_skl,sK3_skl)) != set_union2(sK2_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0,X1] : union(unordered_pair(X0,X1)) = set_union2(X0,X1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
set_union2(sK2_skl,sK3_skl) != set_union2(sK2_skl,sK3_skl),
inference(backward_demodulation,[status(thm)],[f28,f27]) ).
fof(f30,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET940+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:44:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.038166 seconds
% 0.14/0.41 % CPU time: 0.122463 seconds
% 0.14/0.41 % Total memory used: 57.995 MB
% 0.14/0.41 % Net memory used: 57.546 MB
%------------------------------------------------------------------------------