%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT274-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:46:28 AM UTC 2026
% Result : Unsatisfiable 2.79s 1.26s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 101 ( 17 unt; 8 def)
% Number of atoms : 295 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 325 ( 131 ~; 186 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
| X0 = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f2,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
| c_emptyset = X0 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(v_sko__4mk(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X2,tc_set(t_a))
| c_in(c_Pair(X3,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)
| X1 = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(v_sko__4mk(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X2,tc_set(t_a))
| c_in(c_Pair(X3,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)
| c_emptyset = X1 ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X2,tc_set(t_a))
| c_in(c_Pair(X0,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X3,X1,v_r),X1,t_a)
| X1 = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X2,tc_set(t_a))
| c_in(c_Pair(X0,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X3,X1,v_r),X1,t_a)
| c_emptyset = X1 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(X2,X1,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X3,tc_set(t_a))
| c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| X1 = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(v_sko__4mk(X2,X1,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X3,tc_set(t_a))
| c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X1 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X0,c_Tarski_Ointerval(X3,X4,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(X2,X0,t_a)
| c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(X2,v_A,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X0,v_r,X2),X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X2),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f15,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f16,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f17,negated_conjecture,
v_S != c_emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f18,plain,
c_emptyset != v_S,
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f20,negated_conjecture,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f21,plain,
! [X0] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(resolution,[],[f12,f19]) ).
fof(f22,plain,
! [X0] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(resolution,[],[f9,f16]) ).
fof(f23,plain,
! [X0] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(resolution,[],[f10,f16]) ).
fof(f24,plain,
! [X0] :
( c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a) ),
inference(resolution,[],[f13,f19]) ).
fof(f44,plain,
! [X0,X1] :
( c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)
| c_emptyset = v_S ),
inference(resolution,[],[f2,f16]) ).
fof(f45,plain,
! [X0,X1] :
( c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a) ),
inference(forward_subsumption_resolution,[],[f44,f18]) ).
fof(f47,plain,
! [X0,X1] :
( ~ c_in(v_b,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f14,f23]) ).
fof(f48,plain,
! [X0,X1] :
( ~ c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a)
| c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
inference(forward_subsumption_resolution,[],[f47,f15]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ c_in(v_sko__4mk(v_L,X0,v_r),v_S,t_a)
| c_in(c_Pair(X2,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_emptyset = X0
| ~ c_lessequals(X0,X1,tc_set(t_a)) ),
inference(resolution,[],[f4,f21]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ c_in(v_sko__4mj(X0,v_a,v_r),v_S,t_a)
| c_in(c_Pair(v_a,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X2,X0,v_r),X0,t_a)
| c_emptyset = X0
| ~ c_lessequals(X0,X1,tc_set(t_a)) ),
inference(resolution,[],[f6,f22]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,X2,tc_set(t_a))
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X1
| ~ c_in(v_sko__4mk(v_L,X1,v_r),v_S,t_a) ),
inference(resolution,[],[f8,f21]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(X1,c_Tarski_Ointerval(v_r,X0,X2,t_a),t_a) ),
inference(resolution,[],[f45,f11]) ).
fof(f143,definition,
( spl0_19
<=> c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f144,plain,
( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| spl0_19 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f145,plain,
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f158,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0
| ~ c_in(v_sko__4mk(v_L,X0,v_r),v_S,t_a)
| ~ c_in(v_sko__4mj(X0,v_a,v_r),v_S,t_a) ),
inference(resolution,[],[f75,f22]) ).
fof(f169,definition,
( spl0_24
<=> c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f170,plain,
( ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_24 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f171,plain,
( c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f173,definition,
( spl0_25
<=> ! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| ~ c_in(v_sko__4mj(X0,v_a,v_r),v_S,t_a)
| ~ c_in(v_sko__4mk(v_L,X0,v_r),v_S,t_a)
| c_emptyset = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f174,plain,
( ! [X0,X1] :
( ~ c_in(v_sko__4mk(v_L,X0,v_r),v_S,t_a)
| ~ c_in(v_sko__4mj(X0,v_a,v_r),v_S,t_a)
| ~ c_lessequals(X0,X1,tc_set(t_a))
| c_emptyset = X0 )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f158,f173,f169]) ).
fof(f190,definition,
( spl0_27
<=> c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f191,plain,
( ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_27 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f192,plain,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f213,plain,
( ! [X0] :
( ~ c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X0,t_a),t_a) )
| ~ spl0_24 ),
inference(resolution,[],[f171,f11]) ).
fof(f223,plain,
( ! [X0] :
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),t_a) )
| ~ spl0_27 ),
inference(resolution,[],[f192,f98]) ).
fof(f228,definition,
( spl0_32
<=> ! [X0] :
( c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),t_a) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f229,plain,
( ! [X0] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( spl0_32
| spl0_19
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f223,f190,f143,f228]) ).
fof(f232,plain,
( ! [X0,X1] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_emptyset = v_S
| ~ c_lessequals(v_S,X1,tc_set(t_a)) )
| ~ spl0_19 ),
inference(resolution,[],[f145,f57]) ).
fof(f233,plain,
( ! [X0,X1] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| ~ c_lessequals(v_S,X1,tc_set(t_a)) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f232,f18]) ).
fof(f235,definition,
( spl0_33
<=> ! [X1] : ~ c_lessequals(v_S,X1,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f236,plain,
( ! [X1] : ~ c_lessequals(v_S,X1,tc_set(t_a))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,definition,
( spl0_34
<=> ! [X0] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f239,plain,
( ! [X0] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl0_33
| spl0_34
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f233,f143,f238,f235]) ).
fof(f241,plain,
( ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| spl0_27 ),
inference(resolution,[],[f191,f24]) ).
fof(f244,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f241,f15]) ).
fof(f245,plain,
( ! [X0] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a) )
| spl0_27 ),
inference(resolution,[],[f244,f48]) ).
fof(f258,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| spl0_27 ),
inference(resolution,[],[f245,f191]) ).
fof(f261,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f258,f19]) ).
fof(f262,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f274,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| ~ spl0_32 ),
inference(resolution,[],[f229,f20]) ).
fof(f275,plain,
( ! [X0,X1] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a)
| c_emptyset = v_S
| ~ c_lessequals(v_S,X1,tc_set(t_a)) )
| ~ spl0_32 ),
inference(resolution,[],[f274,f73]) ).
fof(f276,plain,
( ! [X0,X1] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a)
| ~ c_lessequals(v_S,X1,tc_set(t_a)) )
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f275,f18]) ).
fof(f278,definition,
( spl0_36
<=> ! [X0] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f279,plain,
( ! [X0] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f280,plain,
( spl0_33
| spl0_36
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f276,f228,f278,f235]) ).
fof(f282,plain,
( $false
| ~ spl0_33 ),
inference(resolution,[],[f236,f16]) ).
fof(f283,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f297,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| ~ spl0_24
| ~ spl0_27 ),
inference(resolution,[],[f213,f192]) ).
fof(f302,plain,
( $false
| ~ spl0_24
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f297,f20]) ).
fof(f303,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f305,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| spl0_24
| ~ spl0_34 ),
inference(resolution,[],[f170,f239]) ).
fof(f311,plain,
( ! [X0] :
( ~ c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| c_emptyset = v_S )
| ~ spl0_19
| ~ spl0_25 ),
inference(resolution,[],[f174,f145]) ).
fof(f312,plain,
( ! [X0] :
( ~ c_lessequals(v_S,X0,tc_set(t_a))
| c_emptyset = v_S )
| ~ spl0_19
| spl0_24
| ~ spl0_25
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f311,f305]) ).
fof(f313,plain,
( ! [X0] : ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ spl0_19
| spl0_24
| ~ spl0_25
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f312,f18]) ).
fof(f314,plain,
( spl0_33
| ~ spl0_19
| spl0_24
| ~ spl0_25
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f313,f238,f173,f169,f143,f235]) ).
fof(f317,plain,
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| spl0_24
| ~ spl0_36 ),
inference(resolution,[],[f279,f170]) ).
fof(f327,plain,
( $false
| spl0_19
| spl0_24
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f317,f144]) ).
fof(f328,plain,
( spl0_19
| spl0_24
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f327]) ).
cnf(s13,plain,
( spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f175]) ).
cnf(s20,plain,
( spl0_19
| ~ spl0_27
| spl0_32 ),
inference(sat_conversion,[],[f230]) ).
cnf(s22,plain,
( ~ spl0_19
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f240]) ).
cnf(s23,plain,
spl0_27,
inference(sat_conversion,[],[f262]) ).
cnf(s25,plain,
( ~ spl0_32
| spl0_33
| spl0_36 ),
inference(sat_conversion,[],[f280]) ).
cnf(s26,plain,
~ spl0_33,
inference(sat_conversion,[],[f283]) ).
cnf(s28,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(sat_conversion,[],[f303]) ).
cnf(s30,plain,
( ~ spl0_19
| spl0_24
| ~ spl0_25
| spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f314]) ).
cnf(s31,plain,
( spl0_19
| spl0_24
| ~ spl0_36 ),
inference(sat_conversion,[],[f328]) ).
cnf(s32,plain,
( ~ spl0_32
| spl0_36 ),
inference(rat,[],[s25,s26]) ).
cnf(s33,plain,
~ spl0_24,
inference(rat,[],[s28,s23]) ).
cnf(s34,plain,
( ~ spl0_19
| spl0_34 ),
inference(rat,[],[s22,s26]) ).
cnf(s36,plain,
( spl0_19
| spl0_32 ),
inference(rat,[],[s20,s23]) ).
cnf(s37,plain,
spl0_25,
inference(rat,[],[s13,s33]) ).
cnf(s38,plain,
~ spl0_19,
inference(rat,[],[s34,s30,s33,s26,s37]) ).
cnf(s39,plain,
~ spl0_36,
inference(rat,[],[s31,s33,s38]) ).
cnf(s40,plain,
spl0_32,
inference(rat,[],[s36,s38]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s32,s39,s40]) ).
fof(f329,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:09:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.79/1.26 % (3558384)Input is clausal, will run a generic CNF schedule.
% 2.79/1.26 % (3558434)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2069199493:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.26 % (3558435)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=488947663:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.26 % (3558437)lrs+10_1_sil=8000:sp=occurrence:random_seed=3872187180:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.26 % (3558436)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3640213388:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.26 % (3558438)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3310605803:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.26 % (3558440)dis-21_1_sil=8000:lcm=predicate:random_seed=4251873808:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.79/1.26 % (3558439)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2385607590:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.26 % (3558437)First to succeed.
% 2.79/1.26 % (3558440)Also succeeded, but the first one will report.
% 2.79/1.26 % (3558437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3558384"
% 2.79/1.26 % (3558439)Also succeeded, but the first one will report.
% 2.79/1.26 % (3558438)Instruction limit reached!
% 2.79/1.26 % (3558438)------------------------------
% 2.79/1.26 % (3558438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.26 % (3558438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.26 % (3558438)CaDiCaL version: 2.1.3
% 2.79/1.26 % (3558438)Termination reason: Instruction limit
% 2.79/1.26 % (3558438)Termination phase: Saturation
% 2.79/1.26 % (3558438)Time elapsed: 0.071 s
% 2.79/1.26 % (3558438)Peak memory usage: 89 MB
% 2.79/1.26 % (3558438)Instructions burned: 116 (million)
% 2.79/1.26 % (3558448)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2515462992:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.79/1.26 % (3558448)Refutation not found, incomplete strategy
% 2.79/1.26 % (3558448)------------------------------
% 2.79/1.26 % (3558448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.26 % (3558448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.26 % (3558448)CaDiCaL version: 2.1.3
% 2.79/1.26 % (3558448)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.26 % (3558448)Time elapsed: 0.001 s
% 2.79/1.26 % (3558448)Peak memory usage: 87 MB
% 2.79/1.26 % (3558448)Instructions burned: 1 (million)
% 2.79/1.26 % (3558437)Refutation found. Thanks to Tanya!
% 2.79/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.35 % (3558437)------------------------------
% 3.44/1.35 % (3558437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.35 % (3558437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.35 % (3558437)CaDiCaL version: 2.1.3
% 3.44/1.35 % (3558437)Termination reason: Refutation
% 3.44/1.35 % (3558437)Time elapsed: 0.012 s
% 3.44/1.35 % (3558437)Peak memory usage: 89 MB
% 3.44/1.35 % (3558437)Instructions burned: 15 (million)
% 3.44/1.35 % (3558437)------------------------------
% 3.44/1.35 % (3558437)------------------------------
% 3.44/1.35 % (3558384)Success in time 0.409 s
% 3.44/1.35 % Vampire exiting
%------------------------------------------------------------------------------