%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT278-1 : 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 : n026.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 3.57s 1.45s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,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(f3319,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(f3323,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(f3324,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(f3325,negated_conjecture,
~ c_Relation_Orefl(v_A,v_r,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3336,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,[],[f3319,f3324]) ).
fof(f3339,plain,
c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a),
inference(forward_subsumption_resolution,[],[f3336,f3323]) ).
fof(f3342,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(forward_demodulation,[],[f3339,f3318]) ).
fof(f3344,plain,
$false,
inference(forward_subsumption_resolution,[],[f3342,f3325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT278-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.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 14:12:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.57/1.45 % (2882029)Input is clausal, will run a generic CNF schedule.
% 3.57/1.45 % (2882034)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=3803683910:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.45 % (2882036)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1817148481:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.45 % (2882035)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2116506490:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.45 % (2882037)lrs+10_1_sil=8000:sp=occurrence:random_seed=604800232:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.45 % (2882038)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=192715683:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.45 % (2882039)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=981090429:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.45 % (2882040)dis-21_1_sil=8000:lcm=predicate:random_seed=2478746056: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)
% 3.57/1.45 % (2882037)First to succeed.
% 3.57/1.45 % (2882037)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2882029"
% 3.57/1.45 % (2882039)Also succeeded, but the first one will report.
% 3.57/1.45 % (2882038)Instruction limit reached!
% 3.57/1.45 % (2882038)------------------------------
% 3.57/1.45 % (2882038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.45 % (2882038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.45 % (2882038)CaDiCaL version: 2.1.3
% 3.57/1.45 % (2882038)Termination reason: Instruction limit
% 3.57/1.45 % (2882038)Termination phase: Saturation
% 3.57/1.45 % (2882038)Time elapsed: 0.071 s
% 3.57/1.45 % (2882038)Peak memory usage: 90 MB
% 3.57/1.45 % (2882038)Instructions burned: 114 (million)
% 3.57/1.45 % (2882040)Instruction limit reached!
% 3.57/1.45 % (2882040)------------------------------
% 3.57/1.45 % (2882040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.45 % (2882040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.45 % (2882040)CaDiCaL version: 2.1.3
% 3.57/1.45 % (2882040)Termination reason: Instruction limit
% 3.57/1.45 % (2882040)Termination phase: Saturation
% 3.57/1.45 % (2882040)Time elapsed: 0.068 s
% 3.57/1.45 % (2882040)Peak memory usage: 90 MB
% 3.57/1.45 % (2882040)Instructions burned: 118 (million)
% 3.57/1.45 % (2882048)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=1006388612:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.57/1.45 % (2882049)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4021025504:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.57/1.45 % (2882048)Refutation not found, incomplete strategy
% 3.57/1.45 % (2882048)------------------------------
% 3.57/1.45 % (2882048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.45 % (2882048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.45 % (2882048)CaDiCaL version: 2.1.3
% 3.57/1.45 % (2882048)Termination reason: Refutation not found, incomplete strategy
% 3.57/1.45 % (2882048)Time elapsed: 0.006 s
% 3.57/1.45 % (2882048)Peak memory usage: 89 MB
% 3.57/1.45 % (2882048)Instructions burned: 8 (million)
% 3.57/1.45 % (2882049)Also succeeded, but the first one will report.
% 3.57/1.45 % (2882037)Refutation found. Thanks to Tanya!
% 3.57/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.45 % (2882037)------------------------------
% 3.57/1.45 % (2882037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.45 % (2882037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.45 % (2882037)CaDiCaL version: 2.1.3
% 3.57/1.45 % (2882037)Termination reason: Refutation
% 3.57/1.45 % (2882037)Time elapsed: 0.008 s
% 3.57/1.45 % (2882037)Peak memory usage: 90 MB
% 3.57/1.45 % (2882037)Instructions burned: 9 (million)
% 3.57/1.45 % (2882037)------------------------------
% 3.57/1.45 % (2882037)------------------------------
% 3.57/1.45 % (2882029)Success in time 0.495 s
% 3.57/1.45 % Vampire exiting
%------------------------------------------------------------------------------