%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA045-1 : 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 : 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 09:31:00 AM UTC 2026
% Result : Unsatisfiable 0.19s 1.14s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 17 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1425,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f1478,axiom,
! [X0,X1] :
( c_times(c_1,X1,X0) = X1
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f3002,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Omonoid__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_12) ).
fof(f3044,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3364,negated_conjecture,
! [X0] : ~ c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3365,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4132,plain,
class_OrderedGroup_Omonoid__mult(t_b),
inference(resolution,[],[f3002,f3365]) ).
fof(f5798,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b)
| ~ class_OrderedGroup_Omonoid__mult(t_b) ),
inference(superposition,[],[f3364,f1478]) ).
fof(f5799,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),
inference(forward_subsumption_resolution,[],[f5798,f4132]) ).
fof(f5800,plain,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f5799,f1425]) ).
fof(f5802,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(resolution,[],[f5800,f3044]) ).
fof(f5803,plain,
$false,
inference(forward_subsumption_resolution,[],[f5802,f3365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:33:55 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 0.19/1.14 % (142317)Input is clausal, will run a generic CNF schedule.
% 0.19/1.14 % (142326)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=881502769:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.14 % (142324)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2123709690:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.14 % (142327)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3208801848:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.14 % (142322)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=2989611437:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.14 % (142323)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=960262905:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.14 % (142326)First to succeed.
% 0.19/1.14 % (142326)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-142317"
% 0.19/1.14 % (142325)lrs+10_1_sil=8000:sp=occurrence:random_seed=707243926:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.14 % (142328)dis-21_1_sil=8000:lcm=predicate:random_seed=1159364345: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)
% 0.19/1.14 % (142325)Also succeeded, but the first one will report.
% 0.19/1.14 % (142327)Also succeeded, but the first one will report.
% 0.19/1.14 % (142328)Instruction limit reached!
% 0.19/1.14 % (142328)------------------------------
% 0.19/1.14 % (142328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (142328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (142328)CaDiCaL version: 2.1.3
% 0.19/1.14 % (142328)Termination reason: Instruction limit
% 0.19/1.14 % (142328)Termination phase: Saturation
% 0.19/1.14 % (142328)Time elapsed: 0.062 s
% 0.19/1.14 % (142328)Peak memory usage: 90 MB
% 0.19/1.14 % (142328)Instructions burned: 118 (million)
% 0.19/1.14 % (142326)Refutation found. Thanks to Tanya!
% 0.19/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.14 % (142326)------------------------------
% 0.19/1.14 % (142326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (142326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (142326)CaDiCaL version: 2.1.3
% 0.19/1.14 % (142326)Termination reason: Refutation
% 0.19/1.14 % (142326)Time elapsed: 0.034 s
% 0.19/1.14 % (142326)Peak memory usage: 91 MB
% 0.19/1.14 % (142326)Instructions burned: 99 (million)
% 0.19/1.14 % (142326)------------------------------
% 0.19/1.14 % (142326)------------------------------
% 0.19/1.14 % (142317)Success in time 0.387 s
% 0.19/1.14 % Vampire exiting
%------------------------------------------------------------------------------