%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV249-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n015.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 08:58:33 AM UTC 2026
% Result : Unsatisfiable 61.02s 14.85s
% Output : Refutation 49.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 118 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 205 ( 115 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 2092 ( 114 ~; 87 |; 0 &;1891 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 285 ( 0 ^; 285 !; 0 ?; 285 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(v_X_decl,type,
v_X: $i ).
thf(c_Message_Osynth_decl,type,
c_Message_Osynth: $i > $i ).
thf(c_Message_Oanalz_decl,type,
c_Message_Oanalz: $i > $i ).
thf(v_G_decl,type,
v_G: $i ).
thf(tc_Message_Omsg_decl,type,
tc_Message_Omsg: $i ).
thf(c_lessequals_decl,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_insert_decl,type,
c_insert: $i > $i > $i > $i ).
thf(v_H_decl,type,
v_H: $i ).
thf(c_union_decl,type,
c_union: $i > $i > $i > $i ).
thf(tc_set_decl,type,
tc_set: $i > $i ).
thf(class_Orderings_Oorder_decl,type,
class_Orderings_Oorder: $i > $o ).
thf(c_minus_decl,type,
c_minus: $i > $i > $i > $i ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(26,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz ) ),
inference(lifteq,[status(thm)],[25]) ).
thf(2,negated_conjecture,
~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(19,plain,
~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,20]) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) )
!= ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[53]) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg != tc_Message_Omsg )
| ( B != v_H )
| ( ( A @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[58]) ).
thf(88,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[72]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( C @ tc_set @ ( B @ ( A @ c_minus ) ) @ c_union ) ) )
= ( C @ ( B @ ( A @ c_union ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( C @ tc_set @ ( B @ ( A @ c_minus ) ) @ c_union ) ) )
= ( C @ ( B @ ( A @ c_union ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(44,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( C @ tc_set @ ( B @ ( A @ c_minus ) ) @ c_union ) ) )
= ( C @ ( B @ ( A @ c_union ) ) ) ),
inference(lifteq,[status(thm)],[43]) ).
thf(1621,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( B @ ( C @ tc_set @ ( B @ ( A @ c_minus ) ) @ c_union ) ) )
!= ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[44,20]) ).
thf(1686,plain,
! [C: $i,B: $i,A: $i] :
( ( C != tc_Message_Omsg )
| ( B != v_H )
| ( ( C @ tc_set @ ( B @ ( A @ c_minus ) ) )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[1621]) ).
thf(1709,plain,
! [A: $i] :
( ( ( tc_Message_Omsg @ tc_set @ ( v_H @ ( A @ c_minus ) ) )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[1686]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ tc_set @ ( A @ ( B @ c_minus ) ) @ ( A @ c_union ) ) )
= ( C @ ( B @ ( A @ c_union ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
thf(41,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ tc_set @ ( A @ ( B @ c_minus ) ) @ ( A @ c_union ) ) )
= ( C @ ( B @ ( A @ c_union ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(42,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( C @ tc_set @ ( A @ ( B @ c_minus ) ) @ ( A @ c_union ) ) )
= ( C @ ( B @ ( A @ c_union ) ) ) ),
inference(lifteq,[status(thm)],[41]) ).
thf(390,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ tc_set @ ( A @ ( B @ c_minus ) ) @ ( A @ c_union ) ) )
!= ( tc_Message_Omsg @ ( E @ ( D @ c_Message_Oanalz @ c_union ) ) ) )
| ( ( C @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( E @ ( D @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[42,26]) ).
thf(391,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[390:[bind(A,$thf( J @ c_Message_Oanalz )),bind(B,$thf( G )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( J )),bind(E,$thf( tc_Message_Omsg @ tc_set @ ( J @ c_Message_Oanalz @ ( G @ c_minus ) ) ))]]) ).
thf(433,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[391]) ).
thf(566,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(rewrite,[status(thm)],[433,26]) ).
thf(1,negated_conjecture,
tc_Message_Omsg @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(18,plain,
tc_Message_Omsg @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(581,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
!= ( v_G @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[566,18]) ).
thf(660,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(simp,[status(thm)],[581]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
= ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz ) ),
inference(lifteq,[status(thm)],[29]) ).
thf(94,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( tc_Message_Omsg @ ( C @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[26,30]) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[94:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( E @ c_Message_Oanalz )),bind(D,$thf( B ))]]) ).
thf(131,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[95]) ).
thf(233,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( C @ ( D @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( tc_Message_Omsg @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
= ( tc_Message_Omsg @ ( C @ ( D @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[26,131]) ).
thf(234,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( E @ c_Message_Oanalz ))]]) ).
thf(286,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[234]) ).
thf(1287,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) ) )
| ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[286,26]) ).
thf(1288,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[1287:[bind(A,$thf( F )),bind(B,$thf( J )),bind(C,$thf( tc_Message_Omsg @ ( F @ ( J @ c_union ) ) )),bind(D,$thf( J @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth ))]]) ).
thf(1397,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[1288]) ).
thf(138,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( v_H @ ( C @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,88]) ).
thf(139,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[138:[bind(A,$thf( D )),bind(B,$thf( v_H )),bind(C,$thf( D @ c_Message_Oanalz ))]]) ).
thf(152,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[139]) ).
thf(464,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( v_H @ ( C @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,152]) ).
thf(465,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[464:[bind(A,$thf( D )),bind(B,$thf( v_H )),bind(C,$thf( D @ c_Message_Oanalz ))]]) ).
thf(506,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[465]) ).
thf(582,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[566,26]) ).
thf(583,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[582:[bind(A,$thf( F )),bind(B,$thf( J @ c_Message_Oanalz )),bind(C,$thf( J )),bind(D,$thf( tc_Message_Omsg @ tc_set @ ( J @ c_Message_Oanalz @ c_Message_Oanalz @ ( F @ c_minus ) ) ))]]) ).
thf(671,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[583]) ).
thf(764,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(rewrite,[status(thm)],[671,26]) ).
thf(783,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[764,26]) ).
thf(784,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[783:[bind(A,$thf( F )),bind(B,$thf( K @ c_Message_Oanalz )),bind(C,$thf( K )),bind(D,$thf( tc_Message_Omsg @ tc_set @ ( K @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( F @ c_minus ) ) ))]]) ).
thf(892,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[784]) ).
thf(920,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(rewrite,[status(thm)],[892,26]) ).
thf(944,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[920,26]) ).
thf(945,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[944:[bind(A,$thf( F )),bind(B,$thf( L @ c_Message_Oanalz )),bind(C,$thf( L )),bind(D,$thf( tc_Message_Omsg @ tc_set @ ( L @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( F @ c_minus ) ) ))]]) ).
thf(1078,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[945]) ).
thf(1737,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(rewrite,[status(thm)],[1078,26]) ).
thf(4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_union ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
thf(23,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_union ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( A @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_union ) ) @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(11,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_union ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_union ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(229,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) ) )
| ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[131,26]) ).
thf(230,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[229:[bind(A,$thf( F )),bind(B,$thf( I )),bind(C,$thf( tc_Message_Omsg @ ( F @ ( I @ c_union ) ) )),bind(D,$thf( I @ c_Message_Oanalz @ c_Message_Osynth ))]]) ).
thf(284,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[230]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,20]) ).
thf(57,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) )
!= ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[52]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( v_G @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,18]) ).
thf(60,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(simp,[status(thm)],[51]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_Message_Oanalz @ c_lessequals ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[27]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_insert ) ) @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).
thf(21,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_insert ) ) @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( C @ ( D @ ( A @ c_insert ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
thf(33,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( C @ ( D @ ( A @ c_insert ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(134,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[30,60]) ).
thf(135,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(pattern_uni,[status(thm)],[134:[bind(A,$thf( H )),bind(B,$thf( F )),bind(C,$thf( tc_Message_Omsg @ ( F @ ( H @ c_union ) ) )),bind(D,$thf( H @ c_Message_Osynth ))]]) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(simp,[status(thm)],[135]) ).
thf(92,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ c_Message_Osynth @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ c_union ) ) )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) ) )
| ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[30,26]) ).
thf(93,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[92:[bind(A,$thf( H )),bind(B,$thf( F )),bind(C,$thf( tc_Message_Omsg @ ( F @ ( H @ c_union ) ) )),bind(D,$thf( H @ c_Message_Osynth ))]]) ).
thf(130,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[93]) ).
thf(710,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(rewrite,[status(thm)],[137,130]) ).
thf(15,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( C @ ( A @ ( D @ c_union ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
thf(45,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( C @ ( A @ ( D @ c_union ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( D @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(406,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ tc_set @ ( A @ ( B @ c_minus ) ) @ ( A @ c_union ) ) )
!= ( tc_Message_Omsg @ ( v_H @ ( v_G @ c_union ) ) ) )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[42,20]) ).
thf(419,plain,
! [C: $i,B: $i,A: $i] :
( ( C != tc_Message_Omsg )
| ( ( C @ tc_set @ ( A @ ( B @ c_minus ) ) )
!= v_H )
| ( A != v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( C @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[406]) ).
thf(444,plain,
! [A: $i] :
( ( ( tc_Message_Omsg @ tc_set @ ( v_G @ ( A @ c_minus ) ) )
!= v_H )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( v_G @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[419]) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( D @ ( C @ ( B @ ( A @ c_insert ) ) @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[21]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( C @ ( B @ c_insert ) ) @ ( A @ c_union ) ) )
= ( D @ ( D @ ( C @ ( A @ c_union ) ) @ ( B @ c_insert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_0) ).
thf(39,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( C @ ( B @ c_insert ) ) @ ( A @ c_union ) ) )
= ( D @ ( D @ ( C @ ( A @ c_union ) ) @ ( B @ c_insert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Oorder ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ ( B @ c_lessequals ) ) )
| ~ ( A @ class_Orderings_Oorder ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1866,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( D @ ( C @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( D @ ( C @ c_union ) ) @ c_Message_Oanalz ) ) ),
inference(paramod_ordered,[status(thm)],[1737,26]) ).
thf(1867,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(pattern_uni,[status(thm)],[1866:[bind(A,$thf( F )),bind(B,$thf( M @ c_Message_Oanalz )),bind(C,$thf( M )),bind(D,$thf( tc_Message_Omsg @ tc_set @ ( M @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( F @ c_minus ) ) ))]]) ).
thf(1967,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(simp,[status(thm)],[1867]) ).
thf(2506,plain,
! [B: $i,A: $i] :
( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
= ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz ) ),
inference(rewrite,[status(thm)],[1967,26]) ).
thf(517,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( v_H @ ( C @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,506]) ).
thf(518,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[517:[bind(A,$thf( D )),bind(B,$thf( v_H )),bind(C,$thf( D @ c_Message_Oanalz ))]]) ).
thf(557,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[518]) ).
thf(782,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz )
!= ( v_G @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[764,18]) ).
thf(855,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(simp,[status(thm)],[782]) ).
thf(17,axiom,
! [A: $i] : ( A @ tc_set @ class_Orderings_Oorder ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).
thf(50,plain,
! [A: $i] : ( A @ tc_set @ class_Orderings_Oorder ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( C @ ( B @ ( A @ c_insert ) ) @ c_union ) ) )
= ( C @ ( C @ ( D @ ( B @ c_union ) ) @ ( A @ c_insert ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
thf(31,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( C @ ( B @ ( A @ c_insert ) ) @ c_union ) ) )
= ( C @ ( C @ ( D @ ( B @ c_union ) ) @ ( A @ c_insert ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1175,plain,
! [C: $i,B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ ( A @ c_Message_Oanalz @ c_union ) ) @ c_Message_Oanalz )
!= ( tc_Message_Omsg @ ( v_H @ ( C @ c_union ) ) @ c_Message_Oanalz ) )
| ( ( C @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( B @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[26,557]) ).
thf(1176,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(pattern_uni,[status(thm)],[1175:[bind(A,$thf( D )),bind(B,$thf( v_H )),bind(C,$thf( D @ c_Message_Oanalz ))]]) ).
thf(1257,plain,
! [A: $i] :
( ( ( A @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Oanalz )
!= v_G )
| ~ ( tc_Message_Omsg @ tc_set @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( v_H @ ( A @ c_union ) ) @ c_Message_Oanalz @ ( v_G @ c_Message_Oanalz @ c_Message_Osynth @ c_union ) ) @ ( tc_Message_Omsg @ ( v_H @ ( v_X @ c_insert ) ) @ c_Message_Oanalz @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[1176]) ).
thf(385,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( C @ tc_set @ ( A @ ( B @ c_minus ) ) @ ( A @ c_union ) ) )
!= ( tc_Message_Omsg @ ( E @ ( D @ c_Message_Oanalz @ c_union ) ) ) )
| ( ( C @ ( B @ ( A @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( E @ ( D @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[42,60]) ).
thf(386,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(pattern_uni,[status(thm)],[385:[bind(A,$thf( J @ c_Message_Oanalz )),bind(B,$thf( G )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( J )),bind(E,$thf( tc_Message_Omsg @ tc_set @ ( J @ c_Message_Oanalz @ ( G @ c_minus ) ) ))]]) ).
thf(431,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( tc_Message_Omsg @ tc_set @ ( B @ c_Message_Oanalz @ ( A @ c_minus ) ) @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(simp,[status(thm)],[386]) ).
thf(1476,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Oanalz @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(rewrite,[status(thm)],[431,566]) ).
thf(161,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) @ c_Message_Oanalz )
!= ( v_G @ c_Message_Oanalz ) )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[130,18]) ).
thf(186,plain,
! [B: $i,A: $i] :
( ( ( tc_Message_Omsg @ ( B @ c_Message_Osynth @ ( tc_Message_Omsg @ ( A @ ( B @ c_union ) ) @ c_union ) ) )
!= v_G )
| ( tc_Message_Omsg @ ( tc_Message_Omsg @ ( A @ ( B @ c_Message_Osynth @ c_union ) ) @ c_Message_Oanalz @ c_Message_Oanalz @ c_Message_Osynth @ ( v_X @ c_in ) ) ) ),
inference(simp,[status(thm)],[161]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( B = A )
| ~ ( C @ tc_set @ ( A @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( B = A )
| ~ ( C @ tc_set @ ( A @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6211,plain,
$false,
inference(e,[status(thm)],[88,1709,660,1397,41,58,506,1737,42,24,37,25,20,284,152,57,29,920,60,28,21,33,566,710,45,444,22,44,286,27,764,39,130,35,2506,557,855,18,50,31,1257,43,1476,26,186,23,30,19,131,47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV249-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.13 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.26/0.52 % Computer : n015.cluster.edu
% 0.26/0.52 % Model : x86_64 x86_64
% 0.26/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.52 % Memory : 8046.5625MB
% 0.26/0.52 % OS : Linux 6.8.0-71-generic
% 0.26/0.52 % CPULimit : 300
% 0.26/0.52 % WCLimit : 300
% 0.26/0.52 % DateTime : Sat Sep 26 13:26:14 UTC 2026
% 0.26/0.52 % CPUTime :
% 0.26/0.52 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.42/1.37 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.94/1.67 % [INFO] Parsing done (296ms).
% 1.94/1.69 % [INFO] Running in sequential loop mode.
% 2.96/2.28 % [INFO] eprover registered as external prover.
% 2.96/2.29 % [INFO] Scanning for conjecture ...
% 3.18/2.38 % [INFO] Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ...
% 3.39/2.45 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 3.39/2.49 % [INFO] Problem is propositional (TPTP CNF).
% 3.60/2.50 % [INFO] Type checking passed.
% 3.60/2.51 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 61.02/14.84 % External prover 'e' found a proof!
% 61.02/14.84 % [INFO] Killing All external provers ...
% 61.02/14.85 % Time passed: 14107ms (effective reasoning time: 13143ms)
% 61.02/14.85 % Axioms used in derivation (15): cls_Message_Oanalz__synth__Un_0, cls_Set_OUn__Diff__cancel2_0, cls_Set_Oinsert__subset_2, cls_Set_OUn__subset__iff_0, cls_Set_Osubset__antisym_0, cls_Set_OUn__insert__left_0, cls_Set_OUn__insert__right_0, cls_Message_Oanalz__analz__Un_0, cls_Set_OUn__subset__iff_1, cls_Set_OUn__subset__iff_2, clsarity_set_2, cls_Message_Oanalz__mono_0, cls_Set_Oinsert__subset_1, cls_Set_OUn__Diff__cancel_0, cls_Orderings_Oorder__class_Oaxioms__1_0
% 61.02/14.85 % No. of inferences in proof: 118
% 61.02/14.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 14107 ms resp. 13143 ms w/o parsing
% 49.96/14.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 49.96/14.99 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------