%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA013-1 : 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 : n004.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 09:30:52 AM UTC 2026
% Result : Unsatisfiable 0.19s 1.03s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2262,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f3037,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f3365,negated_conjecture,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3366,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3525,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f3037,f3366]) ).
fof(f3614,plain,
~ class_Orderings_Oorder(t_b),
inference(resolution,[],[f2262,f3365]) ).
fof(f3615,plain,
$false,
inference(forward_subsumption_resolution,[],[f3614,f3525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA013-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n004.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:28:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.19/1.03 % (722066)Input is clausal, will run a generic CNF schedule.
% 0.19/1.03 % (722154)dis-21_1_sil=8000:lcm=predicate:random_seed=2297988528: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)
% 0.19/1.03 % (722154)Instruction limit reached!
% 0.19/1.03 % (722154)------------------------------
% 0.19/1.03 % (722154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.03 % (722154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.03 % (722154)CaDiCaL version: 2.1.3
% 0.19/1.03 % (722154)Termination reason: Instruction limit
% 0.19/1.03 % (722154)Termination phase: Saturation
% 0.19/1.03 % (722154)Time elapsed: 0.035 s
% 0.19/1.03 % (722154)Peak memory usage: 90 MB
% 0.19/1.03 % (722154)Instructions burned: 117 (million)
% 0.19/1.03 % (722148)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=3938986610:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.03 % (722153)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=502185000:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.03 % (722150)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3214103485:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.03 % (722151)lrs+10_1_sil=8000:sp=occurrence:random_seed=2872236328:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.03 % (722152)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3603141099:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.03 % (722149)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2484545349:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.03 % (722151)First to succeed.
% 0.19/1.03 % (722151)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-722066"
% 0.19/1.03 % (722152)Also succeeded, but the first one will report.
% 0.19/1.03 % (722153)Instruction limit reached!
% 0.19/1.03 % (722153)------------------------------
% 0.19/1.03 % (722153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.03 % (722153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.03 % (722153)CaDiCaL version: 2.1.3
% 0.19/1.03 % (722153)Termination reason: Instruction limit
% 0.19/1.03 % (722153)Termination phase: Saturation
% 0.19/1.03 % (722153)Time elapsed: 0.107 s
% 0.19/1.03 % (722153)Peak memory usage: 91 MB
% 0.19/1.03 % (722153)Instructions burned: 181 (million)
% 0.19/1.03 % (722190)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=424478687:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.19/1.03 % (722190)Instruction limit reached!
% 0.19/1.03 % (722190)------------------------------
% 0.19/1.03 % (722190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.03 % (722190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.03 % (722190)CaDiCaL version: 2.1.3
% 0.19/1.03 % (722190)Termination reason: Instruction limit
% 0.19/1.03 % (722190)Termination phase: Saturation
% 0.19/1.03 % (722190)Time elapsed: 0.047 s
% 0.19/1.03 % (722190)Peak memory usage: 91 MB
% 0.19/1.03 % (722190)Instructions burned: 144 (million)
% 0.19/1.03 % (722234)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2830726610:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 0.19/1.03 % (722151)Refutation found. Thanks to Tanya!
% 0.19/1.03 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.03 % (722151)------------------------------
% 0.19/1.03 % (722151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.03 % (722151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.03 % (722151)CaDiCaL version: 2.1.3
% 0.19/1.03 % (722151)Termination reason: Refutation
% 0.19/1.03 % (722151)Time elapsed: 0.019 s
% 0.19/1.03 % (722151)Peak memory usage: 90 MB
% 0.19/1.03 % (722151)Instructions burned: 30 (million)
% 0.19/1.03 % (722151)------------------------------
% 0.19/1.03 % (722151)------------------------------
% 0.19/1.03 % (722066)Success in time 0.476 s
% 0.19/1.03 % Vampire exiting
%------------------------------------------------------------------------------