%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT274-1 : 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 : n019.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 2.60s 1.15s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 85 ( 17 unt; 7 def)
% Number of atoms : 245 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 269 ( 109 ~; 153 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 89 ( 0 sgn 89 !; 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_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,X1,tc_set(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(X3,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(v_sko__4mk(X0,X1,v_r),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,X3,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_sko__4mj(X1,X0,v_r),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(X0,X2,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,v_sko__4mj(X1,X0,v_r),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_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2))
| ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ c_in(X0,X1,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_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
| ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ c_in(X0,X1,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(X0,c_Tarski_Ointerval(X3,X4,X1,X2),X2)
| ~ 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)) ),
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(f13,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,X0,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,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(f14,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(X1,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(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(f15,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| ~ 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_Tarski_OisLub(X0,v_cl,X1,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(f3338,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3339,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(f3340,negated_conjecture,
v_S != c_emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3341,plain,
c_emptyset != v_S,
inference(reorient_equations,[],[f3340]) ).
fof(f3342,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3345,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(f3386,plain,
( ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f11,f3345]) ).
fof(f3390,definition,
( spl0_5
<=> 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_5])],[avatar_definition]) ).
fof(f3392,plain,
( ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_5 ),
inference(avatar_component_clause,[],[f3390]) ).
fof(f3394,definition,
( spl0_6
<=> 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_6])],[avatar_definition]) ).
fof(f3396,plain,
( ~ c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_6 ),
inference(avatar_component_clause,[],[f3394]) ).
fof(f3397,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f3386,f3394,f3390]) ).
fof(f3398,plain,
( ! [X0] :
( ~ c_in(v_b,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a) )
| spl0_5 ),
inference(resolution,[],[f3392,f14]) ).
fof(f3403,plain,
( ! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a) )
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f3398,f3338]) ).
fof(f3405,plain,
( ! [X0] :
( ~ c_in(v_b,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
| spl0_5 ),
inference(resolution,[],[f15,f3392]) ).
fof(f3406,plain,
( ! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f3405,f3338]) ).
fof(f3407,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| spl0_5 ),
inference(resolution,[],[f3403,f3342]) ).
fof(f3419,plain,
( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_5 ),
inference(resolution,[],[f3406,f3342]) ).
fof(f3428,plain,
( ! [X0,X1] :
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),X0,t_a)
| ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,X1,v_b,t_a),tc_set(t_a)) )
| spl0_5 ),
inference(resolution,[],[f3419,f10]) ).
fof(f3440,plain,
( ! [X0] : ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,X0,v_b,t_a),tc_set(t_a))
| spl0_5 ),
inference(resolution,[],[f3428,f3407]) ).
fof(f3441,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f3440,f3339]) ).
fof(f3442,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f3441]) ).
fof(f3443,plain,
( ! [X0,X1] :
( c_in(v_sko__4mk(v_L,X0,v_r),X0,t_a)
| c_in(v_sko__4mj(X0,v_a,v_r),X0,t_a)
| ~ c_lessequals(X0,X1,tc_set(t_a))
| c_emptyset = X0 )
| spl0_6 ),
inference(resolution,[],[f3396,f2]) ).
fof(f3444,plain,
( ! [X0,X1] :
( c_in(v_sko__4mj(X0,v_a,v_r),X0,t_a)
| ~ c_in(c_Pair(v_sko__4mk(v_L,X0,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,X1,tc_set(t_a))
| c_emptyset = X0 )
| spl0_6 ),
inference(resolution,[],[f3396,f4]) ).
fof(f3445,plain,
( ! [X0,X1] :
( c_in(v_sko__4mk(v_L,X0,v_r),X0,t_a)
| ~ c_in(c_Pair(v_a,v_sko__4mj(X0,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,X1,tc_set(t_a))
| c_emptyset = X0 )
| spl0_6 ),
inference(resolution,[],[f3396,f6]) ).
fof(f3446,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(v_L,X0,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_a,v_sko__4mj(X0,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0 )
| spl0_6 ),
inference(resolution,[],[f3396,f8]) ).
fof(f3500,plain,
( ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = v_S
| spl0_6 ),
inference(resolution,[],[f3446,f3339]) ).
fof(f3501,plain,
( ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f3500,f3341]) ).
fof(f3503,definition,
( spl0_10
<=> c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f3505,plain,
( ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_10 ),
inference(avatar_component_clause,[],[f3503]) ).
fof(f3507,definition,
( spl0_11
<=> c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f3509,plain,
( ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_11 ),
inference(avatar_component_clause,[],[f3507]) ).
fof(f3510,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f3501,f3394,f3507,f3503]) ).
fof(f3520,plain,
( ! [X0,X1] :
( ~ c_in(v_sko__4mj(v_S,v_a,v_r),X0,t_a)
| ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),tc_set(t_a)) )
| spl0_10 ),
inference(resolution,[],[f3505,f9]) ).
fof(f3539,definition,
( spl0_15
<=> ! [X0] : ~ c_lessequals(v_S,X0,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f3540,plain,
( ! [X0] : ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f3539]) ).
fof(f3550,plain,
( ! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| ~ c_in(v_sko__4mk(v_L,v_S,v_r),X0,t_a) )
| spl0_11 ),
inference(resolution,[],[f3509,f13]) ).
fof(f3556,plain,
( ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| spl0_11 ),
inference(resolution,[],[f3550,f3342]) ).
fof(f3563,definition,
( spl0_17
<=> c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f3565,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f3563]) ).
fof(f3586,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,X0,t_a),tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,X1,tc_set(t_a))
| c_emptyset = v_S )
| spl0_6
| spl0_10 ),
inference(resolution,[],[f3520,f3444]) ).
fof(f3592,definition,
( spl0_18
<=> ! [X0] : ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,X0,t_a),tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f3593,plain,
( ! [X0] : ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,X0,t_a),tc_set(t_a))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f3592]) ).
fof(f3596,plain,
( $false
| ~ spl0_15 ),
inference(resolution,[],[f3540,f3339]) ).
fof(f3600,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f3596]) ).
fof(f3601,plain,
( $false
| ~ spl0_18 ),
inference(resolution,[],[f3593,f3339]) ).
fof(f3602,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f3601]) ).
fof(f3604,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,X0,t_a),tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,X1,tc_set(t_a)) )
| spl0_6
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f3586,f3341]) ).
fof(f3605,plain,
( spl0_15
| ~ spl0_11
| spl0_18
| spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f3604,f3503,f3394,f3592,f3507,f3539]) ).
fof(f3606,plain,
( ! [X0] :
( ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| c_emptyset = v_S )
| spl0_6
| spl0_11 ),
inference(resolution,[],[f3556,f3445]) ).
fof(f3607,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_6
| spl0_11 ),
inference(resolution,[],[f3556,f3443]) ).
fof(f3609,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)) )
| spl0_6
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f3607,f3341]) ).
fof(f3610,plain,
( spl0_15
| spl0_17
| spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f3609,f3507,f3394,f3563,f3539]) ).
fof(f3616,plain,
( ! [X0] : ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,X0,t_a),tc_set(t_a))
| spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f3565,f3520]) ).
fof(f3618,plain,
( spl0_18
| spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f3616,f3563,f3503,f3592]) ).
fof(f3619,plain,
( ! [X0] :
( ~ c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,X0,tc_set(t_a)) )
| spl0_6
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f3606,f3341]) ).
fof(f3620,plain,
( spl0_15
| ~ spl0_10
| spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f3619,f3507,f3394,f3503,f3539]) ).
cnf(s5,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f3397]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f3442]) ).
cnf(s9,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f3510]) ).
cnf(s16,plain,
~ spl0_15,
inference(sat_conversion,[],[f3600]) ).
cnf(s17,plain,
~ spl0_18,
inference(sat_conversion,[],[f3602]) ).
cnf(s19,plain,
( spl0_6
| spl0_10
| ~ spl0_11
| spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f3605]) ).
cnf(s20,plain,
( spl0_6
| spl0_11
| spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f3610]) ).
cnf(s21,plain,
( spl0_10
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f3618]) ).
cnf(s22,plain,
( spl0_6
| ~ spl0_10
| spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f3620]) ).
cnf(s26,plain,
~ spl0_6,
inference(rat,[],[s5,s6]) ).
cnf(s27,plain,
spl0_10,
inference(rat,[],[s20,s19,s21,s16,s26,s17]) ).
cnf(s28,plain,
spl0_11,
inference(rat,[],[s22,s16,s26,s27]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s9,s26,s28,s27]) ).
fof(f3621,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT274-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n019.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 14:09:34 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 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
% 2.60/1.15 % (3126367)Input is clausal, will run a generic CNF schedule.
% 2.60/1.15 % (3126375)lrs+10_1_sil=8000:sp=occurrence:random_seed=146691674:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/1.15 % (3126378)dis-21_1_sil=8000:lcm=predicate:random_seed=988633927: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)
% 2.60/1.15 % (3126374)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4089605900:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/1.15 % (3126373)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=265003051:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/1.15 % (3126376)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3529772481:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/1.15 % (3126377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2250345687:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/1.15 % (3126372)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=1278339783:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/1.15 % (3126377)First to succeed.
% 2.60/1.15 % (3126377)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3126367"
% 2.60/1.15 % (3126378)Instruction limit reached!
% 2.60/1.15 % (3126378)------------------------------
% 2.60/1.15 % (3126378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.15 % (3126378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.15 % (3126378)CaDiCaL version: 2.1.3
% 2.60/1.15 % (3126378)Termination reason: Instruction limit
% 2.60/1.15 % (3126378)Termination phase: Saturation
% 2.60/1.15 % (3126378)Time elapsed: 0.063 s
% 2.60/1.15 % (3126378)Peak memory usage: 90 MB
% 2.60/1.15 % (3126378)Instructions burned: 118 (million)
% 2.60/1.15 % (3126375)Instruction limit reached!
% 2.60/1.15 % (3126375)------------------------------
% 2.60/1.15 % (3126375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.15 % (3126375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.15 % (3126375)CaDiCaL version: 2.1.3
% 2.60/1.15 % (3126375)Termination reason: Instruction limit
% 2.60/1.15 % (3126375)Termination phase: Saturation
% 2.60/1.15 % (3126375)Time elapsed: 0.064 s
% 2.60/1.15 % (3126375)Peak memory usage: 90 MB
% 2.60/1.15 % (3126375)Instructions burned: 107 (million)
% 2.60/1.15 % (3126376)Instruction limit reached!
% 2.60/1.15 % (3126376)------------------------------
% 2.60/1.15 % (3126376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.15 % (3126376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.15 % (3126376)CaDiCaL version: 2.1.3
% 2.60/1.15 % (3126376)Termination reason: Instruction limit
% 2.60/1.15 % (3126376)Termination phase: Saturation
% 2.60/1.15 % (3126376)Time elapsed: 0.069 s
% 2.60/1.15 % (3126376)Peak memory usage: 90 MB
% 2.60/1.15 % (3126376)Instructions burned: 114 (million)
% 2.60/1.15 % (3126377)Refutation found. Thanks to Tanya!
% 2.60/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.60/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.30/1.34 % (3126377)------------------------------
% 3.30/1.34 % (3126377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.34 % (3126377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.34 % (3126377)CaDiCaL version: 2.1.3
% 3.30/1.34 % (3126377)Termination reason: Refutation
% 3.30/1.34 % (3126377)Time elapsed: 0.047 s
% 3.30/1.34 % (3126377)Peak memory usage: 91 MB
% 3.30/1.34 % (3126377)Instructions burned: 86 (million)
% 3.30/1.34 % (3126377)------------------------------
% 3.30/1.34 % (3126377)------------------------------
% 3.30/1.34 % (3126367)Success in time 0.416 s
% 3.30/1.34 % Vampire exiting
%------------------------------------------------------------------------------