%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n006.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 09:31:16 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 18 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 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 : 12 ( 12 !; 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] :
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X1,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_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f7,plain,
! [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),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f9,plain,
! [X0] : c_times(c_1,X0,t_b) = X0,
inference(resolution,[],[f5,f2]) ).
fof(f10,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,[],[f7,f9]) ).
fof(f11,plain,
~ class_Orderings_Oorder(t_b),
inference(resolution,[],[f10,f8]) ).
fof(f12,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(resolution,[],[f11,f6]) ).
fof(f13,plain,
$false,
inference(resolution,[],[f12,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA007-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n006.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 20:28:05 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.10/0.25 % (139758)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (139769)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1708504588:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (139769) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-139758-139769"...
% 0.10/0.25 % (139769)...printing done.
% 0.10/0.25 % (139769)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (139769)------------------------------
% 0.10/0.25 % (139769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (139769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (139769)CaDiCaL version: 2.1.3
% 0.10/0.25 % (139769)Termination reason: Refutation
% 0.10/0.25 % (139769)Time elapsed: 0.001 s
% 0.10/0.25 % (139769)Peak memory usage: 11 MB
% 0.10/0.25 % (139758)Success in time 0.027 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------