%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT272-1 : 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 : 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 : Tue Sep 29 11:46:27 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,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(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_x,v_S,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3346,negated_conjecture,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3408,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,[],[f13,f3342]) ).
fof(f3409,plain,
~ c_in(v_x,v_S,t_a),
inference(resolution,[],[f3408,f3346]) ).
fof(f3410,plain,
$false,
inference(forward_subsumption_resolution,[],[f3409,f3345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT272-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.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 14:12:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.42 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
% 0.17/1.41 % (1704281)Input is clausal, will run a generic CNF schedule.
% 0.17/1.41 % (1704292)dis-21_1_sil=8000:lcm=predicate:random_seed=2595100885: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)
% 0.17/1.41 % (1704292)Instruction limit reached!
% 0.17/1.41 % (1704292)------------------------------
% 0.17/1.41 % (1704292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.41 % (1704292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.41 % (1704292)CaDiCaL version: 2.1.3
% 0.17/1.41 % (1704292)Termination reason: Instruction limit
% 0.17/1.41 % (1704292)Termination phase: Saturation
% 0.17/1.41 % (1704292)Time elapsed: 0.036 s
% 0.17/1.41 % (1704292)Peak memory usage: 91 MB
% 0.17/1.41 % (1704292)Instructions burned: 120 (million)
% 0.17/1.41 % (1704290)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3268537654:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.41 % (1704287)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3741975695:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.41 % (1704286)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=2055496712:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.41 % (1704288)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3884754740:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.41 % (1704289)lrs+10_1_sil=8000:sp=occurrence:random_seed=2228839307:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.41 % (1704291)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=891875326:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.41 % (1704289)First to succeed.
% 0.17/1.41 % (1704289)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1704281"
% 0.17/1.41 % (1704291)Also succeeded, but the first one will report.
% 0.17/1.41 % (1704290)Instruction limit reached!
% 0.17/1.41 % (1704290)------------------------------
% 0.17/1.41 % (1704290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.41 % (1704290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.41 % (1704290)CaDiCaL version: 2.1.3
% 0.17/1.41 % (1704290)Termination reason: Instruction limit
% 0.17/1.41 % (1704290)Termination phase: Saturation
% 0.17/1.41 % (1704290)Time elapsed: 0.087 s
% 0.17/1.41 % (1704290)Peak memory usage: 90 MB
% 0.17/1.41 % (1704290)Instructions burned: 115 (million)
% 0.17/1.41 % (1704301)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=111143901:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.17/1.41 % (1704301)Also succeeded, but the first one will report.
% 0.17/1.41 % (1704289)Refutation found. Thanks to Tanya!
% 0.17/1.41 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.41 % (1704289)------------------------------
% 0.17/1.41 % (1704289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.41 % (1704289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.41 % (1704289)CaDiCaL version: 2.1.3
% 0.17/1.41 % (1704289)Termination reason: Refutation
% 0.17/1.41 % (1704289)Time elapsed: 0.010 s
% 0.17/1.41 % (1704289)Peak memory usage: 90 MB
% 0.17/1.41 % (1704289)Instructions burned: 12 (million)
% 0.17/1.41 % (1704289)------------------------------
% 0.17/1.41 % (1704289)------------------------------
% 0.17/1.41 % (1704281)Success in time 0.56 s
% 0.17/1.41 % Vampire exiting
%------------------------------------------------------------------------------