%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT277-2 : 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 : n006.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 2.66s 1.32s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 18 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_x,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2))
| ~ c_in(X3,X0,X2)
| ~ c_Relation_Orefl(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OreflD_0) ).
fof(f4,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f5,axiom,
! [X0,X1] :
( c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
fof(f6,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f7,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f9,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[],[f5,f7]) ).
fof(f10,plain,
c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a),
inference(forward_subsumption_resolution,[],[f9,f6]) ).
fof(f13,plain,
! [X0] :
( ~ c_Relation_Orefl(X0,v_r,t_a)
| ~ c_in(v_x,X0,t_a) ),
inference(resolution,[],[f3,f2]) ).
fof(f14,plain,
~ c_in(v_x,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[],[f13,f10]) ).
fof(f16,plain,
~ c_in(v_x,v_A,t_a),
inference(superposition,[],[f14,f4]) ).
fof(f17,plain,
$false,
inference(forward_subsumption_resolution,[],[f16,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:09:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.66/1.32 % (3009911)Input is clausal, will run a generic CNF schedule.
% 2.66/1.32 % (3009988)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1297989867:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.32 % (3009988)First to succeed.
% 2.66/1.32 % (3009988)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3009911"
% 2.66/1.32 % (3009984)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=3708260384:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.32 % (3009986)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3572306778:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.32 % (3009985)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3240463442:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.32 % (3009989)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1985638452:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.32 % (3009989)Also succeeded, but the first one will report.
% 2.66/1.32 % (3009987)lrs+10_1_sil=8000:sp=occurrence:random_seed=1669197905:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.32 % (3009990)dis-21_1_sil=8000:lcm=predicate:random_seed=1511710654: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)
% 2.66/1.32 % (3009987)Also succeeded, but the first one will report.
% 2.66/1.32 % (3009990)Refutation not found, incomplete strategy
% 2.66/1.32 % (3009990)------------------------------
% 2.66/1.32 % (3009990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.32 % (3009990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.32 % (3009990)CaDiCaL version: 2.1.3
% 2.66/1.32 % (3009990)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.32 % (3009990)Time elapsed: 0.001 s
% 2.66/1.32 % (3009990)Peak memory usage: 88 MB
% 2.66/1.32 % (3009988)Refutation found. Thanks to Tanya!
% 2.66/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.32 % (3009988)------------------------------
% 2.66/1.32 % (3009988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.32 % (3009988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.32 % (3009988)CaDiCaL version: 2.1.3
% 2.66/1.32 % (3009988)Termination reason: Refutation
% 2.66/1.32 % (3009988)Time elapsed: 0.001 s
% 2.66/1.32 % (3009988)Peak memory usage: 88 MB
% 2.66/1.32 % (3009988)Instructions burned: 1 (million)
% 2.66/1.32 % (3009988)------------------------------
% 2.66/1.32 % (3009988)------------------------------
% 2.66/1.32 % (3009911)Success in time 0.279 s
% 2.66/1.32 % Vampire exiting
%------------------------------------------------------------------------------