%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA038-2 : 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 : n012.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 09:30:59 AM UTC 2026
% Result : Unsatisfiable 2.06s 0.68s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(c_0,v_g(v_xa),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f4,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,X0),X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
fof(f8,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f9,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f10,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f11,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f8,f4]) ).
fof(f12,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f9,f4]) ).
fof(f13,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f10,f4]) ).
fof(f15,plain,
! [X0] :
( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b) ),
inference(resolution,[],[f6,f2]) ).
fof(f17,plain,
! [X0] :
( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X0,t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b) ),
inference(forward_subsumption_resolution,[],[f15,f13]) ).
fof(f24,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,X0,t_b)
| ~ c_lessequals(c_0,v_g(v_xa),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(resolution,[],[f17,f7]) ).
fof(f27,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,X0,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(forward_subsumption_resolution,[],[f24,f1]) ).
fof(f28,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f27,f12]) ).
fof(f40,plain,
~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
inference(resolution,[],[f28,f3]) ).
fof(f43,plain,
~ class_Orderings_Olinorder(t_b),
inference(resolution,[],[f40,f5]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[],[f43,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ANA038-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 20:33:19 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 2.06/0.68 % (3712324)Input is clausal, will run a generic CNF schedule.
% 2.06/0.68 % (3712334)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1823820373:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.06/0.68 % (3712333)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2108423721:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.06/0.68 % (3712331)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=313879356:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.06/0.68 % (3712335)dis-21_1_sil=8000:lcm=predicate:random_seed=1147019025: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)
% 2.06/0.68 % (3712332)lrs+10_1_sil=8000:sp=occurrence:random_seed=2149865538:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.06/0.68 % (3712329)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=1669896257:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.06/0.68 % (3712330)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3403101789:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.06/0.68 % (3712333)Refutation not found, incomplete strategy
% 2.06/0.68 % (3712333)------------------------------
% 2.06/0.68 % (3712333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.68 % (3712333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.68 % (3712333)CaDiCaL version: 2.1.3
% 2.06/0.68 % (3712333)Termination reason: Refutation not found, incomplete strategy
% 2.06/0.68 % (3712333)Time elapsed: 0.0000 s
% 2.06/0.68 % (3712333)Peak memory usage: 87 MB
% 2.06/0.68 % (3712332)First to succeed.
% 2.06/0.68 % (3712335)Also succeeded, but the first one will report.
% 2.06/0.68 % (3712334)Also succeeded, but the first one will report.
% 2.06/0.68 % (3712332)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3712324"
% 2.06/0.68 % (3712333)------------------------------
% 2.06/0.68 % (3712333)------------------------------
% 2.06/0.68 % (3712332)Refutation found. Thanks to Tanya!
% 2.06/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.06/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.68 % (3712332)------------------------------
% 2.06/0.68 % (3712332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.68 % (3712332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.68 % (3712332)CaDiCaL version: 2.1.3
% 2.06/0.68 % (3712332)Termination reason: Refutation
% 2.06/0.68 % (3712332)Time elapsed: 0.001 s
% 2.06/0.68 % (3712332)Peak memory usage: 88 MB
% 2.06/0.68 % (3712332)Instructions burned: 2 (million)
% 2.06/0.68 % (3712332)------------------------------
% 2.06/0.68 % (3712332)------------------------------
% 2.06/0.68 % (3712324)Success in time 0.263 s
% 2.06/0.68 % Vampire exiting
%------------------------------------------------------------------------------