%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT276-2 : 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 : n017.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 11:46:29 AM UTC 2026
% Result : Unsatisfiable 2.96s 1.24s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 68 ( 11 unt; 5 def)
% Number of atoms : 160 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 170 ( 78 ~; 87 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f3,negated_conjecture,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f5,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f6,negated_conjecture,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f8,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f9,axiom,
! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X0,X1,v_r),X1,t_a)
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f10,axiom,
! [X0,X1] :
( ~ c_in(c_Pair(v_sko__4mP(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f11,axiom,
! [X0,X1] :
( c_in(c_Pair(X0,c_Tarski_Olub(X1,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,X1,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f12,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f13,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(forward_demodulation,[],[f6,f13]) ).
fof(f15,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f5,f13]) ).
fof(f16,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(forward_demodulation,[],[f4,f13]) ).
fof(f17,plain,
( c_in(v_xa,v_A,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(forward_demodulation,[],[f3,f8]) ).
fof(f18,plain,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f2,f13]) ).
fof(f20,definition,
( spl0_1
<=> c_in(v_xa,v_S,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( c_in(v_xa,v_S,t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f24,definition,
( spl0_2
<=> ! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( ! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f24,f20]) ).
fof(f27,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f15,f13]) ).
fof(f29,definition,
( spl0_3
<=> c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f31,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f16,f29,f20]) ).
fof(f34,definition,
( spl0_4
<=> c_in(v_xa,v_A,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f35,plain,
( ~ c_in(v_xa,v_A,t_a)
| spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
( c_in(v_xa,v_A,t_a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f34,f20]) ).
fof(f38,plain,
! [X0] :
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(forward_demodulation,[],[f18,f13]) ).
fof(f40,definition,
( spl0_5
<=> c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f42,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f27,f40,f29]) ).
fof(f44,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f38,f40,f24]) ).
fof(f46,plain,
! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(X0,v_A,t_a) ),
inference(resolution,[],[f7,f1]) ).
fof(f47,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| spl0_3 ),
inference(resolution,[],[f9,f31]) ).
fof(f48,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f47,f1]) ).
fof(f49,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f48,f36]) ).
fof(f50,plain,
( ! [X0] :
( ~ c_in(v_xa,v_A,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f10,f25]) ).
fof(f52,plain,
( ! [X0] :
( c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a) )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f50,f36]) ).
fof(f54,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f52,f31]) ).
fof(f55,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f54,f1]) ).
fof(f56,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f55,f49]) ).
fof(f57,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f58,plain,
( c_in(v_xa,v_A,t_a)
| ~ spl0_1 ),
inference(resolution,[],[f22,f46]) ).
fof(f59,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_S,t_a)
| spl0_5 ),
inference(resolution,[],[f42,f11]) ).
fof(f60,plain,
( ~ c_in(v_xa,v_S,t_a)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f59,f1]) ).
fof(f61,plain,
( $false
| ~ spl0_1
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f60,f22]) ).
fof(f62,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f63,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f58,f35]) ).
fof(f64,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f63]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f37]) ).
cnf(s4,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f43]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f44]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f57]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f62]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f64]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s6,s1,s2,s3]) ).
cnf(s10,plain,
spl0_4,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
spl0_5,
inference(rat,[],[s7,s9]) ).
cnf(s12,plain,
spl0_2,
inference(rat,[],[s5,s11]) ).
cnf(s13,plain,
~ spl0_3,
inference(rat,[],[s4,s11]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s6,s10,s12,s13]) ).
fof(f65,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:05:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.96/1.24 % (2587406)Input is clausal, will run a generic CNF schedule.
% 2.96/1.24 % (2587413)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=242907313:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.96/1.24 % (2587414)lrs+10_1_sil=8000:sp=occurrence:random_seed=400144096:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.96/1.24 % (2587411)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=660482775:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.96/1.24 % (2587415)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=599217246:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.96/1.24 % (2587412)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1270492951:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.96/1.24 % (2587417)dis-21_1_sil=8000:lcm=predicate:random_seed=1564394864: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)
% 2.96/1.24 % (2587416)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3374986762:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.96/1.24 % (2587417)Refutation not found, incomplete strategy
% 2.96/1.24 % (2587417)------------------------------
% 2.96/1.24 % (2587417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.24 % (2587415)Refutation not found, incomplete strategy
% 2.96/1.24 % (2587415)------------------------------
% 2.96/1.24 % (2587415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.24 % (2587417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.24 % (2587415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.24 % (2587417)CaDiCaL version: 2.1.3
% 2.96/1.24 % (2587415)CaDiCaL version: 2.1.3
% 2.96/1.24 % (2587417)Termination reason: Refutation not found, incomplete strategy
% 2.96/1.24 % (2587417)Time elapsed: 0.002 s
% 2.96/1.24 % (2587415)Termination reason: Refutation not found, incomplete strategy
% 2.96/1.24 % (2587415)Time elapsed: 0.002 s
% 2.96/1.24 % (2587417)Peak memory usage: 88 MB
% 2.96/1.24 % (2587415)Peak memory usage: 88 MB
% 2.96/1.24 % (2587417)Instructions burned: 1 (million)
% 2.96/1.24 % (2587415)Instructions burned: 1 (million)
% 2.96/1.24 % (2587414)First to succeed.
% 2.96/1.24 % (2587416)Also succeeded, but the first one will report.
% 2.96/1.24 % (2587414)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2587406"
% 2.96/1.24 % (2587417)------------------------------
% 2.96/1.24 % (2587417)------------------------------
% 2.96/1.24 % (2587415)------------------------------
% 2.96/1.24 % (2587415)------------------------------
% 2.96/1.24 % (2587414)Refutation found. Thanks to Tanya!
% 2.96/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.96/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.34 % (2587414)------------------------------
% 3.36/1.34 % (2587414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.34 % (2587414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.34 % (2587414)CaDiCaL version: 2.1.3
% 3.36/1.34 % (2587414)Termination reason: Refutation
% 3.36/1.34 % (2587414)Time elapsed: 0.004 s
% 3.36/1.34 % (2587414)Peak memory usage: 89 MB
% 3.36/1.34 % (2587414)Instructions burned: 4 (million)
% 3.36/1.34 % (2587414)------------------------------
% 3.36/1.34 % (2587414)------------------------------
% 3.36/1.34 % (2587406)Success in time 0.406 s
% 3.36/1.34 % Vampire exiting
%------------------------------------------------------------------------------