%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA009-2 : 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 : n008.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 0.24s 0.31s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 27 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oright__minus_0) ).
fof(f3,negated_conjecture,
! [X0] : c_lessequals(v_lb(X0),v_f(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f4,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f5,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f6,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f7,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0)
| c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f9,plain,
! [X0] : ~ c_lessequals(v_lb(X0),v_f(X0),t_b),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f10,plain,
c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f11,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(resolution,[],[f5,f7]) ).
fof(f12,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f6,f7]) ).
fof(f13,plain,
! [X0] : c_0 = c_plus(X0,c_uminus(X0,t_b),t_b),
inference(resolution,[],[f12,f2]) ).
fof(f15,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,c_plus(X1,c_uminus(X0,t_b),t_b),t_b)
| c_lessequals(X0,X1,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
inference(superposition,[],[f8,f13]) ).
fof(f16,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,c_plus(X1,c_uminus(X0,t_b),t_b),t_b)
| c_lessequals(X0,X1,t_b) ),
inference(forward_subsumption_resolution,[],[f15,f11]) ).
fof(f18,plain,
c_lessequals(v_lb(v_x),v_f(v_x),t_b),
inference(resolution,[],[f16,f10]) ).
fof(f28,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n008.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 20:27:39 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 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
% 0.24/0.31 % (2591589)Will run a generic schedule for satisfiability detection.
% 0.24/0.31 % (2591595)% WARNING: option uhcvi not known.
% 0.24/0.31 % (2591595)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3811623746:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.31 % (2591595) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2591589-2591595"...
% 0.24/0.31 % (2591595)...printing done.
% 0.24/0.31 % (2591595)Refutation found. Thanks to Tanya!
% 0.24/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.31 % (2591595)------------------------------
% 0.24/0.31 % (2591595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.31 % (2591595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.31 % (2591595)CaDiCaL version: 2.1.3
% 0.24/0.31 % (2591595)Termination reason: Refutation
% 0.24/0.31 % (2591595)Time elapsed: 0.002 s
% 0.24/0.31 % (2591595)Peak memory usage: 11 MB
% 0.24/0.31 % (2591595)Instructions burned: 1 (million)
% 0.24/0.31 % (2591589)Success in time 0.025 s
% 0.24/0.31 % Vampire exiting
%------------------------------------------------------------------------------