%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA038-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:31:23 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.26s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_lessequals(c_0,v_g(v_xa),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f4,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f6,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/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,X0),X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
fof(f8,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f9,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f10,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f11,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f8,f4]) ).
fof(f12,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f9,f4]) ).
fof(f13,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f10,f4]) ).
fof(f15,plain,
! [X0] :
( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b) ),
inference(resolution,[],[f6,f2]) ).
fof(f17,plain,
! [X0] :
( ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X0,t_b)
| c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b) ),
inference(forward_subsumption_resolution,[],[f15,f13]) ).
fof(f24,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,X0,t_b)
| ~ c_lessequals(c_0,v_g(v_xa),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(resolution,[],[f17,f7]) ).
fof(f27,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,X0,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(forward_subsumption_resolution,[],[f24,f1]) ).
fof(f28,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(v_ca,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f27,f12]) ).
fof(f40,plain,
~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
inference(resolution,[],[f28,f3]) ).
fof(f43,plain,
~ class_Orderings_Olinorder(t_b),
inference(resolution,[],[f40,f5]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[],[f43,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA038-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n017.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 20:29:22 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.26 % (3969558)Will run a generic schedule for satisfiability detection.
% 0.10/0.26 % (3969566)dis+10_1_sil=32000:sp=arity:random_seed=1018113694:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.26 % (3969566) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3969558-3969566"...
% 0.10/0.26 % (3969566)...printing done.
% 0.10/0.26 % (3969566)Refutation found. Thanks to Tanya!
% 0.10/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26 % (3969566)------------------------------
% 0.10/0.26 % (3969566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (3969566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (3969566)CaDiCaL version: 2.1.3
% 0.10/0.26 % (3969566)Termination reason: Refutation
% 0.10/0.26 % (3969566)Time elapsed: 0.001 s
% 0.10/0.26 % (3969566)Peak memory usage: 11 MB
% 0.10/0.26 % (3969566)Instructions burned: 1 (million)
% 0.10/0.26 % (3969558)Success in time 0.025 s
% 0.10/0.26 % Vampire exiting
%------------------------------------------------------------------------------