%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT273-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 2.53s 1.33s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 11 unt; 3 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/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(f2,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/sandbox/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(f3,axiom,
! [X2,X0,X1] :
( ~ c_Tarski_OisLub(X0,v_cl,X1,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_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/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(f4,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f5,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f6,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f7,negated_conjecture,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f8,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,[],[f1,f5]) ).
fof(f9,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,[],[f2,f6]) ).
fof(f11,plain,
! [X0] :
( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,X0),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f3,f6]) ).
fof(f12,plain,
( ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f9,f7]) ).
fof(f14,definition,
( spl0_1
<=> c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f17,definition,
( spl0_2
<=> c_in(v_b,v_A,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f18,plain,
( ~ c_in(v_b,v_A,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f19,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12,f17,f14]) ).
fof(f20,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f18,f4]) ).
fof(f21,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f22,plain,
( ~ c_in(v_b,v_A,t_a)
| c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f11,f8]) ).
fof(f25,definition,
( spl0_3
<=> 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_3])],[avatar_definition]) ).
fof(f26,plain,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f27,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f22,f17,f25,f14]) ).
fof(f28,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f26,f7]) ).
fof(f29,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f28]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f21]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f27]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f29]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s5,s2]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s2,s6]) ).
fof(f30,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT273-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:14:17 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/1.33 % (2682507)Input is clausal, will run a generic CNF schedule.
% 2.53/1.33 % (2682518)dis-21_1_sil=8000:lcm=predicate:random_seed=2460384872: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)
% 2.53/1.33 % (2682518)First to succeed.
% 2.53/1.33 % (2682518)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2682507"
% 2.53/1.33 % (2682515)lrs+10_1_sil=8000:sp=occurrence:random_seed=2801278418:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.53/1.33 % (2682514)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4205177922:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.53/1.33 % (2682512)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=2732922159:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.53/1.33 % (2682513)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3200386941:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.53/1.33 % (2682516)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4269983070:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.53/1.33 % (2682517)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1270465904:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.53/1.33 % (2682515)Also succeeded, but the first one will report.
% 2.53/1.33 % (2682516)Also succeeded, but the first one will report.
% 2.53/1.33 % (2682517)Also succeeded, but the first one will report.
% 2.53/1.33 % (2682518)Refutation found. Thanks to Tanya!
% 2.53/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.53/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/1.33 % (2682518)------------------------------
% 2.53/1.33 % (2682518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.33 % (2682518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.33 % (2682518)CaDiCaL version: 2.1.3
% 2.53/1.33 % (2682518)Termination reason: Refutation
% 2.53/1.33 % (2682518)Time elapsed: 0.001 s
% 2.53/1.33 % (2682518)Peak memory usage: 89 MB
% 2.53/1.33 % (2682518)Instructions burned: 1 (million)
% 2.53/1.33 % (2682518)------------------------------
% 2.53/1.33 % (2682518)------------------------------
% 2.53/1.33 % (2682507)Success in time 0.273 s
% 2.53/1.33 % Vampire exiting
%------------------------------------------------------------------------------