%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA031-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:30:57 AM UTC 2026
% Result : Unsatisfiable 3.63s 1.42s
% Output : Refutation 6.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of formulae : 93 ( 43 unt; 17 def)
% Number of atoms : 177 ( 40 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 167 ( 83 ~; 79 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 3 con; 0-3 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,X2,X0) = c_times(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,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__left__mono_0) ).
fof(f7,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f8,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
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_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f11,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f12,definition,
! [X0] : sF0(X0) = c_HOL_Oabs(v_b(X0),t_b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f13,plain,
! [X0] : c_HOL_Oabs(v_b(X0),t_b) = sF0(X0),
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
! [X0] : sF1(X0) = c_HOL_Oabs(v_g(X0),t_b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f15,plain,
! [X0] : c_HOL_Oabs(v_g(X0),t_b) = sF1(X0),
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
! [X0] : sF2(X0) = c_times(v_c,sF1(X0),t_b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
! [X0] : c_times(v_c,sF1(X0),t_b) = sF2(X0),
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
! [X0] : c_lessequals(sF0(X0),sF2(X0),t_b),
inference(definition_folding,[],[f1,f17,f15,f13]) ).
fof(f19,definition,
! [X0] : sF3(X0) = v_b(v_x(X0)),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f20,plain,
! [X0] : v_b(v_x(X0)) = sF3(X0),
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
! [X0] : sF4(X0) = c_HOL_Oabs(sF3(X0),t_b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f22,plain,
! [X0] : c_HOL_Oabs(sF3(X0),t_b) = sF4(X0),
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
! [X0] : sF5(X0) = v_f(v_x(X0)),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f24,plain,
! [X0] : v_f(v_x(X0)) = sF5(X0),
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
! [X0] : sF6(X0) = c_HOL_Oabs(sF5(X0),t_b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f26,plain,
! [X0] : c_HOL_Oabs(sF5(X0),t_b) = sF6(X0),
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
! [X0] : sF7(X0) = c_times(sF4(X0),sF6(X0),t_b),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f28,plain,
! [X0] : c_times(sF4(X0),sF6(X0),t_b) = sF7(X0),
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
! [X0] : sF8(X0) = v_g(v_x(X0)),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f30,plain,
! [X0] : v_g(v_x(X0)) = sF8(X0),
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
! [X0] : sF9(X0) = c_HOL_Oabs(sF8(X0),t_b),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f32,plain,
! [X0] : c_HOL_Oabs(sF8(X0),t_b) = sF9(X0),
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
! [X0] : sF10(X0) = c_times(sF6(X0),sF9(X0),t_b),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f34,plain,
! [X0] : c_times(sF6(X0),sF9(X0),t_b) = sF10(X0),
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
! [X0] : sF11(X0) = c_times(X0,sF10(X0),t_b),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f36,plain,
! [X0] : c_times(X0,sF10(X0),t_b) = sF11(X0),
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
! [X0] : ~ c_lessequals(sF7(X0),sF11(X0),t_b),
inference(definition_folding,[],[f2,f36,f34,f32,f30,f26,f24,f28,f26,f24,f22,f20]) ).
fof(f39,definition,
( spl12_1
<=> class_Ring__and__Field_Oordered__idom(t_b) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f41,plain,
( class_Ring__and__Field_Oordered__idom(t_b)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,plain,
spl12_1,
inference(avatar_split_clause,[],[f11,f39]) ).
fof(f43,plain,
( class_OrderedGroup_Oab__semigroup__mult(t_b)
| ~ spl12_1 ),
inference(resolution,[],[f7,f41]) ).
fof(f45,definition,
( spl12_2
<=> class_OrderedGroup_Oab__semigroup__mult(t_b) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f47,plain,
( class_OrderedGroup_Oab__semigroup__mult(t_b)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( spl12_2
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f43,f39,f45]) ).
fof(f49,plain,
( class_OrderedGroup_Osemigroup__mult(t_b)
| ~ spl12_1 ),
inference(resolution,[],[f8,f41]) ).
fof(f51,definition,
( spl12_3
<=> class_OrderedGroup_Osemigroup__mult(t_b) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f53,plain,
( class_OrderedGroup_Osemigroup__mult(t_b)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,plain,
( spl12_3
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f49,f39,f51]) ).
fof(f55,plain,
( class_Ring__and__Field_Opordered__semiring(t_b)
| ~ spl12_1 ),
inference(resolution,[],[f9,f41]) ).
fof(f57,definition,
( spl12_4
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f59,plain,
( class_Ring__and__Field_Opordered__semiring(t_b)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( spl12_4
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f55,f39,f57]) ).
fof(f61,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl12_1 ),
inference(resolution,[],[f10,f41]) ).
fof(f63,definition,
( spl12_5
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f65,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
( spl12_5
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f61,f39,f63]) ).
fof(f67,plain,
! [X0] : c_HOL_Oabs(sF3(X0),t_b) = sF0(v_x(X0)),
inference(superposition,[],[f13,f20]) ).
fof(f68,plain,
! [X0] : sF4(X0) = sF0(v_x(X0)),
inference(forward_demodulation,[],[f67,f22]) ).
fof(f69,plain,
! [X0] : c_HOL_Oabs(sF8(X0),t_b) = sF1(v_x(X0)),
inference(superposition,[],[f15,f30]) ).
fof(f70,plain,
! [X0] : sF9(X0) = sF1(v_x(X0)),
inference(forward_demodulation,[],[f69,f32]) ).
fof(f71,plain,
! [X0] : c_lessequals(sF4(X0),sF2(v_x(X0)),t_b),
inference(superposition,[],[f18,f68]) ).
fof(f75,plain,
! [X0] :
( c_lessequals(c_0,sF6(X0),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f3,f26]) ).
fof(f78,plain,
( ! [X0] : c_lessequals(c_0,sF6(X0),t_b)
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f75,f65]) ).
fof(f82,plain,
! [X0] : sF2(v_x(X0)) = c_times(v_c,sF9(X0),t_b),
inference(superposition,[],[f17,f70]) ).
fof(f84,plain,
( ! [X0,X1] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b)
| ~ spl12_2 ),
inference(resolution,[],[f5,f47]) ).
fof(f86,plain,
( ! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b)
| ~ spl12_3 ),
inference(resolution,[],[f4,f53]) ).
fof(f90,plain,
( ! [X0] : sF7(X0) = c_times(sF6(X0),sF4(X0),t_b)
| ~ spl12_2 ),
inference(superposition,[],[f28,f84]) ).
fof(f137,plain,
( ! [X0,X1] :
( c_lessequals(sF7(X0),c_times(sF6(X0),X1,t_b),t_b)
| ~ c_lessequals(sF4(X0),X1,t_b)
| ~ c_lessequals(c_0,sF6(X0),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) )
| ~ spl12_2 ),
inference(superposition,[],[f6,f90]) ).
fof(f138,plain,
( ! [X0,X1] :
( c_lessequals(sF7(X0),c_times(sF6(X0),X1,t_b),t_b)
| ~ c_lessequals(sF4(X0),X1,t_b)
| ~ c_lessequals(c_0,sF6(X0),t_b) )
| ~ spl12_2
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f137,f59]) ).
fof(f140,plain,
( ! [X0,X1] :
( c_lessequals(sF7(X0),c_times(sF6(X0),X1,t_b),t_b)
| ~ c_lessequals(sF4(X0),X1,t_b) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f138,f78]) ).
fof(f176,plain,
( ! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X1,c_times(X0,X2,t_b),t_b)
| ~ spl12_2
| ~ spl12_3 ),
inference(superposition,[],[f86,f84]) ).
fof(f189,plain,
( ! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X2,c_times(X0,X1,t_b),t_b)
| ~ spl12_2
| ~ spl12_3 ),
inference(superposition,[],[f84,f86]) ).
fof(f258,plain,
( ! [X0,X1] : c_times(sF10(X0),X1,t_b) = c_times(sF9(X0),c_times(sF6(X0),X1,t_b),t_b)
| ~ spl12_2
| ~ spl12_3 ),
inference(superposition,[],[f176,f34]) ).
fof(f283,plain,
( ! [X0,X1] : c_times(sF10(X0),X1,t_b) = c_times(sF6(X0),c_times(X1,sF9(X0),t_b),t_b)
| ~ spl12_2
| ~ spl12_3 ),
inference(forward_demodulation,[],[f258,f189]) ).
fof(f2973,plain,
( ! [X0] : c_times(sF10(X0),v_c,t_b) = c_times(sF6(X0),sF2(v_x(X0)),t_b)
| ~ spl12_2
| ~ spl12_3 ),
inference(superposition,[],[f283,f82]) ).
fof(f3050,plain,
( ! [X0] : c_times(sF6(X0),sF2(v_x(X0)),t_b) = c_times(v_c,sF10(X0),t_b)
| ~ spl12_2
| ~ spl12_3 ),
inference(forward_demodulation,[],[f2973,f84]) ).
fof(f3069,plain,
( ! [X0] :
( c_lessequals(sF7(X0),c_times(v_c,sF10(X0),t_b),t_b)
| ~ c_lessequals(sF4(X0),sF2(v_x(X0)),t_b) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(superposition,[],[f140,f3050]) ).
fof(f3111,plain,
( ! [X0] : c_lessequals(sF7(X0),c_times(v_c,sF10(X0),t_b),t_b)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f3069,f71]) ).
fof(f3212,plain,
( c_lessequals(sF7(v_c),sF11(v_c),t_b)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(superposition,[],[f3111,f36]) ).
fof(f3213,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f3212,f37]) ).
fof(f3214,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(avatar_contradiction_clause,[],[f3213]) ).
cnf(s1,plain,
spl12_1,
inference(sat_conversion,[],[f42]) ).
cnf(s2,plain,
( ~ spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
( ~ spl12_1
| spl12_3 ),
inference(sat_conversion,[],[f54]) ).
cnf(s4,plain,
( ~ spl12_1
| spl12_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s5,plain,
( ~ spl12_1
| spl12_5 ),
inference(sat_conversion,[],[f66]) ).
cnf(s19,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(sat_conversion,[],[f3214]) ).
cnf(s20,plain,
spl12_5,
inference(rat,[],[s5,s1]) ).
cnf(s21,plain,
spl12_4,
inference(rat,[],[s4,s1]) ).
cnf(s22,plain,
spl12_3,
inference(rat,[],[s3,s1]) ).
cnf(s23,plain,
spl12_2,
inference(rat,[],[s2,s1]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s19,s20,s21,s22,s23]) ).
fof(f3215,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ANA031-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:31:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.63/1.42 % (3709814)Input is clausal, will run a generic CNF schedule.
% 3.63/1.42 % (3709849)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3280489431:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.42 % (3709850)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3176520934:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.42 % (3709856)dis-21_1_sil=8000:lcm=predicate:random_seed=515356054:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.63/1.42 % (3709852)lrs+10_1_sil=8000:sp=occurrence:random_seed=626450917:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.42 % (3709855)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3803549075:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.42 % (3709856)Refutation not found, incomplete strategy
% 3.63/1.42 % (3709856)------------------------------
% 3.63/1.42 % (3709856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709856)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709856)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.42 % (3709856)Time elapsed: 0.001 s
% 3.63/1.42 % (3709856)Peak memory usage: 87 MB
% 3.63/1.42 % (3709851)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=21760606:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.42 % (3709853)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=595782658:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.42 % (3709853)Refutation not found, incomplete strategy
% 3.63/1.42 % (3709853)------------------------------
% 3.63/1.42 % (3709853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709853)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709853)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.42 % (3709853)Time elapsed: 0.001 s
% 3.63/1.42 % (3709853)Peak memory usage: 87 MB
% 3.63/1.42 % (3709852)Instruction limit reached!
% 3.63/1.42 % (3709852)------------------------------
% 3.63/1.42 % (3709852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709852)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709852)Termination reason: Instruction limit
% 3.63/1.42 % (3709852)Termination phase: Saturation
% 3.63/1.42 % (3709852)Time elapsed: 0.051 s
% 3.63/1.42 % (3709852)Peak memory usage: 88 MB
% 3.63/1.42 % (3709852)Instructions burned: 109 (million)
% 3.63/1.42 % (3709855)Instruction limit reached!
% 3.63/1.42 % (3709855)------------------------------
% 3.63/1.42 % (3709855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709855)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709855)Termination reason: Instruction limit
% 3.63/1.42 % (3709855)Termination phase: Saturation
% 3.63/1.42 % (3709855)Time elapsed: 0.078 s
% 3.63/1.42 % (3709855)Peak memory usage: 89 MB
% 3.63/1.42 % (3709855)Instructions burned: 180 (million)
% 3.63/1.42 % (3709866)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3185384351:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.63/1.42 % (3709856)------------------------------
% 3.63/1.42 % (3709856)------------------------------
% 3.63/1.42 % (3709866)Instruction limit reached!
% 3.63/1.42 % (3709866)------------------------------
% 3.63/1.42 % (3709866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709866)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709866)Termination reason: Instruction limit
% 3.63/1.42 % (3709866)Termination phase: Saturation
% 3.63/1.42 % (3709866)Time elapsed: 0.071 s
% 3.63/1.42 % (3709866)Peak memory usage: 88 MB
% 3.63/1.42 % (3709866)Instructions burned: 145 (million)
% 3.63/1.42 % (3709867)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2840011573:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.63/1.42 % (3709853)------------------------------
% 3.63/1.42 % (3709853)------------------------------
% 3.63/1.42 % (3709873)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3618178475:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.63/1.42 % (3709867)Instruction limit reached!
% 3.63/1.42 % (3709867)------------------------------
% 3.63/1.42 % (3709867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709867)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709867)Termination reason: Instruction limit
% 3.63/1.42 % (3709867)Termination phase: Saturation
% 3.63/1.42 % (3709867)Time elapsed: 0.087 s
% 3.63/1.42 % (3709867)Peak memory usage: 88 MB
% 3.63/1.42 % (3709867)Instructions burned: 190 (million)
% 3.63/1.42 % (3709874)lrs+10_64_to=lpo:sil=8000:random_seed=2853905284:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.63/1.42 % (3709873)Instruction limit reached!
% 3.63/1.42 % (3709873)------------------------------
% 3.63/1.42 % (3709873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709873)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709873)Termination reason: Instruction limit
% 3.63/1.42 % (3709873)Termination phase: Saturation
% 3.63/1.42 % (3709873)Time elapsed: 0.083 s
% 3.63/1.42 % (3709873)Peak memory usage: 89 MB
% 3.63/1.42 % (3709873)Instructions burned: 219 (million)
% 3.63/1.42 % (3709878)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1723724340:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.63/1.42 % (3709874)Instruction limit reached!
% 3.63/1.42 % (3709874)------------------------------
% 3.63/1.42 % (3709874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709874)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709874)Termination reason: Instruction limit
% 3.63/1.42 % (3709874)Termination phase: Saturation
% 3.63/1.42 % (3709874)Time elapsed: 0.056 s
% 3.63/1.42 % (3709874)Peak memory usage: 87 MB
% 3.63/1.42 % (3709874)Instructions burned: 126 (million)
% 3.63/1.42 % (3709880)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2680880845:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.63/1.42 % (3709878)Instruction limit reached!
% 3.63/1.42 % (3709878)------------------------------
% 3.63/1.42 % (3709878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709878)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709878)Termination reason: Instruction limit
% 3.63/1.42 % (3709878)Termination phase: Saturation
% 3.63/1.42 % (3709878)Time elapsed: 0.090 s
% 3.63/1.42 % (3709878)Peak memory usage: 90 MB
% 3.63/1.42 % (3709878)Instructions burned: 195 (million)
% 3.63/1.42 % (3709886)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=576700650:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 3.63/1.42 % (3709884)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4067949785:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 3.63/1.42 % (3709880)First to succeed.
% 3.63/1.42 % (3709880)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3709814"
% 3.63/1.42 % (3709886)Instruction limit reached!
% 3.63/1.42 % (3709886)------------------------------
% 3.63/1.42 % (3709886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709886)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709886)Termination reason: Instruction limit
% 3.63/1.42 % (3709886)Termination phase: Saturation
% 3.63/1.42 % (3709886)Time elapsed: 0.029 s
% 3.63/1.42 % (3709886)Peak memory usage: 88 MB
% 3.63/1.42 % (3709886)Instructions burned: 108 (million)
% 3.63/1.42 % (3709851)Also succeeded, but the first one will report.
% 3.63/1.42 % (3709895)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=68404177:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 3.63/1.42 % (3709890)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2468863912:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 3.63/1.42 % (3709890)Instruction limit reached!
% 3.63/1.42 % (3709890)------------------------------
% 3.63/1.42 % (3709890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709890)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709890)Termination reason: Instruction limit
% 3.63/1.42 % (3709890)Termination phase: Saturation
% 3.63/1.42 % (3709890)Time elapsed: 0.049 s
% 3.63/1.42 % (3709890)Peak memory usage: 88 MB
% 3.63/1.42 % (3709890)Instructions burned: 109 (million)
% 3.63/1.42 % (3709849)Also succeeded, but the first one will report.
% 3.63/1.42 % (3709895)Instruction limit reached!
% 3.63/1.42 % (3709895)------------------------------
% 3.63/1.42 % (3709895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.42 % (3709895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.42 % (3709895)CaDiCaL version: 2.1.3
% 3.63/1.42 % (3709895)Termination reason: Instruction limit
% 3.63/1.42 % (3709895)Termination phase: Saturation
% 3.63/1.42 % (3709895)Time elapsed: 0.102 s
% 3.63/1.42 % (3709895)Peak memory usage: 88 MB
% 3.63/1.42 % (3709895)Instructions burned: 242 (million)
% 3.63/1.42 % (3709880)Refutation found. Thanks to Tanya!
% 3.63/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 6.94/1.57 % (3709880)------------------------------
% 6.94/1.57 % (3709880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.57 % (3709880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.57 % (3709880)CaDiCaL version: 2.1.3
% 6.94/1.57 % (3709880)Termination reason: Refutation
% 6.94/1.57 % (3709880)Time elapsed: 0.074 s
% 6.94/1.57 % (3709880)Peak memory usage: 91 MB
% 6.94/1.57 % (3709880)Instructions burned: 137 (million)
% 6.94/1.57 % (3709880)------------------------------
% 6.94/1.57 % (3709880)------------------------------
% 6.94/1.57 % (3709814)Success in time 0.964 s
% 6.94/1.57 % Vampire exiting
%------------------------------------------------------------------------------