%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA043-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:31:24 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.27s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 33 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,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(f5,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__left__commute_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,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__left__mono_0) ).
fof(f7,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f8,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(f9,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f10,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolution,[],[f7,f3]) ).
fof(f11,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f8,f3]) ).
fof(f12,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f9,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(resolution,[],[f5,f10]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X1,X3,t_b),c_times(X0,c_times(X1,X2,t_b),t_b),t_b)
| ~ c_lessequals(X3,c_times(X0,X2,t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f6,f13]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X1,X3,t_b),c_times(X0,c_times(X1,X2,t_b),t_b),t_b)
| ~ c_lessequals(X3,c_times(X0,X2,t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b) ),
inference(forward_subsumption_resolution,[],[f20,f11]) ).
fof(f32,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),c_times(X0,c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),t_b) ),
inference(resolution,[],[f23,f2]) ).
fof(f75,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b),
inference(resolution,[],[f32,f1]) ).
fof(f76,plain,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f75,f4]) ).
fof(f77,plain,
$false,
inference(forward_subsumption_resolution,[],[f76,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA043-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:38:48 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 % (3958210)Will run a generic schedule for satisfiability detection.
% 0.07/0.27 % (3958223)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=979394865:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.27 % (3958222)% WARNING: option uhcvi not known.
% 0.07/0.27 % (3958222)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2027371944:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.27 % (3958224)dis+10_1_sil=32000:sp=arity:random_seed=2716335036:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.27 % (3958221)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2262701112_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.27 % (3958225)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2716548552:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.27 % (3958226)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1998994972:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.27 % TRYING [1]
% 0.07/0.27 % TRYING [2]
% 0.07/0.27 % (3958224) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3958210-3958224"...
% 0.07/0.27 % (3958224)...printing done.
% 0.07/0.27 % (3958224)Refutation found. Thanks to Tanya!
% 0.07/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.27 % (3958224)------------------------------
% 0.07/0.27 % (3958224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.27 % (3958224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.27 % (3958224)CaDiCaL version: 2.1.3
% 0.07/0.27 % (3958224)Termination reason: Refutation
% 0.07/0.27 % (3958224)Time elapsed: 0.005 s
% 0.07/0.27 % (3958224)Peak memory usage: 11 MB
% 0.07/0.27 % (3958224)Instructions burned: 8 (million)
% 0.07/0.27 % (3958210)Success in time 0.045 s
% 0.07/0.27 % Vampire exiting
%------------------------------------------------------------------------------