%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA023-2 : 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 : n005.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 0.08s 0.27s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,c_minus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
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,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f5,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f6,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,negated_conjecture,
~ c_lessequals(c_0,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(f8,axiom,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f9,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f10,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f11,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(f12,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f13,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(resolution,[],[f9,f12]) ).
fof(f14,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f10,f12]) ).
fof(f15,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f14,f8]) ).
fof(f16,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f11,f12]) ).
fof(f17,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f1,f13]) ).
fof(f22,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b) ),
inference(resolution,[],[f2,f5]) ).
fof(f23,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(forward_subsumption_resolution,[],[f22,f16]) ).
fof(f24,plain,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(forward_demodulation,[],[f23,f17]) ).
fof(f25,plain,
! [X0] :
( ~ c_lessequals(v_k(v_x),X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(v_g(v_x),X0,t_b) ),
inference(resolution,[],[f24,f4]) ).
fof(f26,plain,
! [X0] :
( ~ c_lessequals(v_k(v_x),X0,t_b)
| c_lessequals(v_g(v_x),X0,t_b) ),
inference(forward_subsumption_resolution,[],[f25,f15]) ).
fof(f27,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ),
inference(superposition,[],[f3,f17]) ).
fof(f28,plain,
! [X0,X1] :
( c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(forward_subsumption_resolution,[],[f27,f16]) ).
fof(f29,plain,
c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(resolution,[],[f26,f6]) ).
fof(f32,plain,
~ c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(resolution,[],[f28,f7]) ).
fof(f37,plain,
$false,
inference(forward_subsumption_resolution,[],[f32,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA023-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 20:29:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.08/0.27 % (1120347)Will run a generic schedule for satisfiability detection.
% 0.08/0.27 % (1120361)dis+10_1_sil=32000:sp=arity:random_seed=1011717492:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.27 % (1120361) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1120347-1120361"...
% 0.08/0.27 % (1120361)...printing done.
% 0.08/0.27 % (1120361)Refutation found. Thanks to Tanya!
% 0.08/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27 % (1120361)------------------------------
% 0.08/0.27 % (1120361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27 % (1120361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27 % (1120361)CaDiCaL version: 2.1.3
% 0.08/0.27 % (1120361)Termination reason: Refutation
% 0.08/0.27 % (1120361)Time elapsed: 0.001 s
% 0.08/0.27 % (1120361)Peak memory usage: 11 MB
% 0.08/0.27 % (1120361)Instructions burned: 2 (million)
% 0.08/0.27 % (1120347)Success in time 0.032 s
% 0.23/0.27 % Vampire exiting
%------------------------------------------------------------------------------