%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:36:43 PM UTC 2026
% Result : Unsatisfiable 4.53s 1.85s
% Output : Refutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f667,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_Order__Relation_Olinear__order__on(X0,X2,X1))
| hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X0,X1),c_HOL_Ominus__class_Ominus(X2,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_strict__linear__order__on__diff__Id_0) ).
fof(f668,negated_conjecture,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f670,negated_conjecture,
! [X0] : ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1682,plain,
hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_HOL_Ominus__class_Ominus(v_r,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
inference(resolution,[],[f667,f668]) ).
fof(f1689,plain,
$false,
inference(forward_subsumption_resolution,[],[f1682,f670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 23:28:47 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 4.53/1.85 % (291508)Input is clausal, will run a generic CNF schedule.
% 4.53/1.85 % (291518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1568975378:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.53/1.85 % (291519)dis-21_1_sil=8000:lcm=predicate:random_seed=3077846943: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)
% 4.53/1.85 % (291517)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=386607421:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.53/1.85 % (291518)First to succeed.
% 4.53/1.85 % (291518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-291508"
% 4.53/1.85 % (291514)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=878450973:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.53/1.85 % (291516)lrs+10_1_sil=8000:sp=occurrence:random_seed=1453543328:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.53/1.85 % (291513)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=2948815572:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.53/1.85 % (291515)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=595817785:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.53/1.85 % (291519)Also succeeded, but the first one will report.
% 4.53/1.85 % (291517)Instruction limit reached!
% 4.53/1.85 % (291517)------------------------------
% 4.53/1.85 % (291517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.85 % (291517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.85 % (291517)CaDiCaL version: 2.1.3
% 4.53/1.85 % (291517)Termination reason: Instruction limit
% 4.53/1.85 % (291517)Termination phase: Saturation
% 4.53/1.85 % (291517)Time elapsed: 0.122 s
% 4.53/1.85 % (291517)Peak memory usage: 89 MB
% 4.53/1.85 % (291517)Instructions burned: 114 (million)
% 4.53/1.85 % (291516)Also succeeded, but the first one will report.
% 4.53/1.85 % (291518)Refutation found. Thanks to Tanya!
% 4.53/1.85 % SZS status Unsatisfiable for theBenchmark
% 4.53/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 4.53/1.85 % (291518)------------------------------
% 4.53/1.85 % (291518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.53/1.85 % (291518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.53/1.85 % (291518)CaDiCaL version: 2.1.3
% 4.53/1.85 % (291518)Termination reason: Refutation
% 4.53/1.85 % (291518)Time elapsed: 0.047 s
% 4.53/1.85 % (291518)Peak memory usage: 89 MB
% 4.53/1.85 % (291518)Instructions burned: 81 (million)
% 4.53/1.85 % (291518)------------------------------
% 4.53/1.85 % (291518)------------------------------
% 4.53/1.85 % (291508)Success in time 0.545 s
% 4.53/1.85 % Vampire exiting
%------------------------------------------------------------------------------