%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n026.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 09:31:19 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.36s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 23 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 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 : 23 ( 23 !; 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] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(c_plus(X1,X2,X0),X3,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,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_minus(X2,X1,t_b),t_b) ),
inference(resolution,[],[f3,f9]) ).
fof(f12,plain,
! [X0,X1] : c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
inference(resolution,[],[f10,f2]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X2,t_b)
| c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b) ),
inference(superposition,[],[f11,f12]) ).
fof(f14,plain,
! [X0,X1] : c_lessequals(c_minus(v_k(X0),X1,t_b),c_minus(v_f(X0),X1,t_b),t_b),
inference(resolution,[],[f13,f4]) ).
fof(f15,plain,
$false,
inference(resolution,[],[f14,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA024-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.28 % Computer : n026.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8046.5625MB
% 0.09/0.28 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Mon Sep 28 20:33:27 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.33 Running first-order model finding
% 0.23/0.33 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
% 0.23/0.36 % (13175)Will run a generic schedule for satisfiability detection.
% 0.23/0.36 % (13185)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3266607283:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.36 % (13185) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-13175-13185"...
% 0.23/0.36 % (13185)...printing done.
% 0.23/0.36 % (13185)Refutation found. Thanks to Tanya!
% 0.23/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.36 % (13185)------------------------------
% 0.23/0.36 % (13185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.36 % (13185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.36 % (13185)CaDiCaL version: 2.1.3
% 0.23/0.36 % (13185)Termination reason: Refutation
% 0.23/0.36 % (13185)Time elapsed: 0.001 s
% 0.23/0.36 % (13185)Peak memory usage: 11 MB
% 0.23/0.36 % (13185)Instructions burned: 1 (million)
% 0.23/0.36 % (13175)Success in time 0.025 s
% 0.23/0.36 % Vampire exiting
%------------------------------------------------------------------------------