%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA024-2 : 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 : n011.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 09:30:55 AM UTC 2026
% Result : Unsatisfiable 3.60s 1.27s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 24 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| X1 = c_plus(c_minus(X1,X2,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).
fof(f2,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X2,X0) = X1 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(X1,c_minus(X3,X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
fof(f4,negated_conjecture,
! [X0] : c_lessequals(v_k(X0),v_f(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f5,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f6,axiom,
! [X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
fof(f7,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f8,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f9,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f7,f8]) ).
fof(f10,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f9,f6]) ).
fof(f11,plain,
! [X0,X1] : c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
inference(resolution,[],[f10,f2]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b) ),
inference(superposition,[],[f3,f11]) ).
fof(f13,plain,
! [X2,X0,X1] :
( c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b)
| ~ c_lessequals(X0,X2,t_b) ),
inference(forward_subsumption_resolution,[],[f12,f9]) ).
fof(f14,plain,
~ c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(resolution,[],[f13,f5]) ).
fof(f15,plain,
$false,
inference(forward_subsumption_resolution,[],[f14,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA024-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n011.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 20:30:31 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.60/1.27 % (3734377)Input is clausal, will run a generic CNF schedule.
% 3.60/1.27 % (3734386)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3024005162:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.27 % (3734386)Refutation not found, incomplete strategy
% 3.60/1.27 % (3734386)------------------------------
% 3.60/1.27 % (3734386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.27 % (3734386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.27 % (3734386)CaDiCaL version: 2.1.3
% 3.60/1.27 % (3734386)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.27 % (3734386)Time elapsed: 0.001 s
% 3.60/1.27 % (3734386)Peak memory usage: 87 MB
% 3.60/1.27 % (3734387)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3554423292:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.27 % (3734383)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2357075433:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.27 % (3734382)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=688755006:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.27 % (3734385)lrs+10_1_sil=8000:sp=occurrence:random_seed=3251338006:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.27 % (3734388)dis-21_1_sil=8000:lcm=predicate:random_seed=3312132536: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)
% 3.60/1.27 % (3734384)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2905906402:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.27 % (3734388)Refutation not found, incomplete strategy
% 3.60/1.27 % (3734388)------------------------------
% 3.60/1.27 % (3734388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.27 % (3734388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.27 % (3734388)CaDiCaL version: 2.1.3
% 3.60/1.27 % (3734388)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.27 % (3734388)Time elapsed: 0.001 s
% 3.60/1.27 % (3734388)Peak memory usage: 88 MB
% 3.60/1.27 % (3734385)First to succeed.
% 3.60/1.27 % (3734387)Also succeeded, but the first one will report.
% 3.60/1.27 % (3734385)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3734377"
% 3.60/1.27 % (3734386)------------------------------
% 3.60/1.27 % (3734386)------------------------------
% 3.60/1.27 % (3734388)------------------------------
% 3.60/1.27 % (3734388)------------------------------
% 3.60/1.27 % (3734385)Refutation found. Thanks to Tanya!
% 3.60/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.27 % (3734385)------------------------------
% 3.60/1.27 % (3734385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.27 % (3734385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.27 % (3734385)CaDiCaL version: 2.1.3
% 3.60/1.27 % (3734385)Termination reason: Refutation
% 3.60/1.27 % (3734385)Time elapsed: 0.002 s
% 3.60/1.27 % (3734385)Peak memory usage: 88 MB
% 3.60/1.27 % (3734385)Instructions burned: 1 (million)
% 3.60/1.27 % (3734385)------------------------------
% 3.60/1.27 % (3734385)------------------------------
% 3.60/1.27 % (3734377)Success in time 0.422 s
% 3.60/1.27 % Vampire exiting
%------------------------------------------------------------------------------