%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA007-2 : 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 : 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 09:30:51 AM UTC 2026
% Result : Unsatisfiable 3.48s 1.28s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f4,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| X1 = c_times(c_1,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).
fof(f5,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_times(c_1,X1,X0) = X1 ),
inference(reorient_equations,[],[f4]) ).
fof(f6,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(f7,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f6,f2]) ).
fof(f8,plain,
! [X0] : c_times(c_1,X0,t_b) = X0,
inference(resolution,[],[f5,f2]) ).
fof(f9,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(superposition,[],[f1,f8]) ).
fof(f10,plain,
~ class_Orderings_Oorder(t_b),
inference(resolution,[],[f9,f3]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[],[f10,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA007-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 20:28:12 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 3.48/1.28 % (1115651)Input is clausal, will run a generic CNF schedule.
% 3.48/1.28 % (1115660)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1005073753:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.48/1.28 % (1115660)Refutation not found, incomplete strategy
% 3.48/1.28 % (1115660)------------------------------
% 3.48/1.28 % (1115660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.28 % (1115660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.28 % (1115660)CaDiCaL version: 2.1.3
% 3.48/1.28 % (1115660)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.28 % (1115660)Time elapsed: 0.0000 s
% 3.48/1.28 % (1115660)Peak memory usage: 87 MB
% 3.48/1.28 % (1115662)dis-21_1_sil=8000:lcm=predicate:random_seed=1485916480: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)
% 3.48/1.28 % (1115657)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1426455320:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.48/1.28 % (1115661)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3063030615:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.48/1.28 % (1115656)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=2475984879:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.48/1.28 % (1115659)lrs+10_1_sil=8000:sp=occurrence:random_seed=4223423732:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.48/1.28 % (1115658)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3517502912:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.48/1.28 % (1115662)Refutation not found, incomplete strategy
% 3.48/1.28 % (1115662)------------------------------
% 3.48/1.28 % (1115662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.28 % (1115662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.28 % (1115662)CaDiCaL version: 2.1.3
% 3.48/1.28 % (1115662)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.28 % (1115662)Time elapsed: 0.001 s
% 3.48/1.28 % (1115662)Peak memory usage: 87 MB
% 3.48/1.28 % (1115659)First to succeed.
% 3.48/1.28 % (1115661)Also succeeded, but the first one will report.
% 3.48/1.28 % (1115659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1115651"
% 3.48/1.28 % (1115660)------------------------------
% 3.48/1.28 % (1115660)------------------------------
% 3.48/1.28 % (1115662)------------------------------
% 3.48/1.28 % (1115662)------------------------------
% 3.48/1.28 % (1115670)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=3235517877:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.48/1.28 % (1115670)Also succeeded, but the first one will report.
% 3.48/1.28 % (1115659)Refutation found. Thanks to Tanya!
% 3.48/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.28 % (1115659)------------------------------
% 3.48/1.28 % (1115659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.28 % (1115659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.28 % (1115659)CaDiCaL version: 2.1.3
% 3.48/1.28 % (1115659)Termination reason: Refutation
% 3.48/1.28 % (1115659)Time elapsed: 0.002 s
% 3.48/1.28 % (1115659)Peak memory usage: 88 MB
% 3.48/1.28 % (1115659)------------------------------
% 3.48/1.28 % (1115659)------------------------------
% 3.48/1.28 % (1115651)Success in time 0.411 s
% 3.48/1.28 % Vampire exiting
%------------------------------------------------------------------------------