%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA045-1 : 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 : n003.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 09:31:24 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.35s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 12 unt; 1 def)
% Number of atoms : 45 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1418,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_0 = c_HOL_Oabs(c_0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__0__eq_1) ).
fof(f1425,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f1811,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_0 = c_times(c_0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__left1_1) ).
fof(f3044,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3364,negated_conjecture,
! [X0] : ~ c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3365,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3981,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(consistent_polarity_flipping,[],[f1425]) ).
fof(f4136,plain,
! [X0,X1] :
( class_Ring__and__Field_Oordered__idom(X0)
| c_0 = c_times(c_0,X1,X0) ),
inference(consistent_polarity_flipping,[],[f1811]) ).
fof(f4842,plain,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
inference(consistent_polarity_flipping,[],[f3044]) ).
fof(f5054,plain,
! [X0] : c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
inference(consistent_polarity_flipping,[],[f3364]) ).
fof(f5055,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(consistent_polarity_flipping,[],[f3365]) ).
fof(f7326,definition,
( spl0_5
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f7327,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f7326]) ).
fof(f7328,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f7326]) ).
fof(f7335,plain,
( class_Ring__and__Field_Oordered__idom(t_b)
| spl0_5 ),
inference(resolution,[],[f7328,f4842]) ).
fof(f7336,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f7335,f5055]) ).
fof(f7337,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f7336]) ).
fof(f7338,plain,
( c_0 = c_HOL_Oabs(c_0,t_b)
| ~ spl0_5 ),
inference(resolution,[],[f7327,f1418]) ).
fof(f7559,plain,
( ~ c_lessequals(c_0,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_5 ),
inference(superposition,[],[f3981,f7338]) ).
fof(f7562,plain,
( ~ c_lessequals(c_0,c_0,t_b)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f7559,f7327]) ).
fof(f7592,plain,
! [X0] : c_0 = c_times(c_0,X0,t_b),
inference(resolution,[],[f4136,f5055]) ).
fof(f7606,plain,
c_lessequals(c_0,c_0,t_b),
inference(superposition,[],[f5054,f7592]) ).
fof(f7607,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f7606,f7562]) ).
fof(f7608,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f7607]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f7337]) ).
cnf(s8,plain,
~ spl0_5,
inference(sat_conversion,[],[f7608]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s6,s8]) ).
fof(f7609,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n003.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 20:35:58 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.21/0.35 % (1957149)Will run a generic schedule for satisfiability detection.
% 0.21/0.35 % (1957160)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1759890628:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.35 % (1957155)% WARNING: option uhcvi not known.
% 0.21/0.35 % (1957158)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1466451032:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.35 % (1957154)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1103309051_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.35 % (1957155)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2452009489:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.35 % (1957156)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2358756755:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.35 % (1957157)dis+10_1_sil=32000:sp=arity:random_seed=3691691711:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.35 % (1957159)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=351567765:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.35 % (1957160)Instruction limit reached!
% 0.21/0.35 % (1957160)------------------------------
% 0.21/0.35 % (1957160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1957160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1957160)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1957160)Termination reason: Instruction limit
% 0.21/0.35 % (1957160)Termination phase: Saturation
% 0.21/0.35 % (1957160)Time elapsed: 0.051 s
% 0.21/0.35 % (1957160)Peak memory usage: 17 MB
% 0.21/0.35 % (1957160)Instructions burned: 162 (million)
% 0.21/0.35 % (1957168)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=573920753:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.35 % (1957157)Instruction limit reached!
% 0.21/0.35 % (1957157)------------------------------
% 0.21/0.35 % (1957157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1957157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1957157)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1957157)Termination reason: Instruction limit
% 0.21/0.35 % (1957157)Termination phase: Saturation
% 0.21/0.35 % (1957157)Time elapsed: 0.057 s
% 0.21/0.35 % (1957157)Peak memory usage: 15 MB
% 0.21/0.35 % (1957157)Instructions burned: 104 (million)
% 0.21/0.35 % (1957158)Instruction limit reached!
% 0.21/0.35 % (1957158)------------------------------
% 0.21/0.35 % (1957158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1957158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1957158)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1957158)Termination reason: Instruction limit
% 0.21/0.35 % (1957158)Termination phase: Saturation
% 0.21/0.35 % (1957158)Time elapsed: 0.062 s
% 0.21/0.35 % (1957158)Peak memory usage: 15 MB
% 0.21/0.35 % (1957158)Instructions burned: 116 (million)
% 0.21/0.35 % (1957159)Instruction limit reached!
% 0.21/0.35 % (1957159)------------------------------
% 0.21/0.35 % (1957159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1957159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1957159)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1957159)Termination reason: Instruction limit
% 0.21/0.35 % (1957159)Termination phase: Saturation
% 0.21/0.35 % (1957159)Time elapsed: 0.073 s
% 0.21/0.35 % (1957159)Peak memory usage: 16 MB
% 0.21/0.35 % (1957159)Instructions burned: 133 (million)
% 0.21/0.35 % (1957155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1957149-1957155"...
% 0.21/0.35 % (1957170)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3164126254:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.21/0.35 % (1957155)...printing done.
% 0.21/0.35 % (1957155)Refutation found. Thanks to Tanya!
% 0.21/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.35 % (1957155)------------------------------
% 0.21/0.35 % (1957155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1957155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1957155)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1957155)Termination reason: Refutation
% 0.21/0.35 % (1957155)Time elapsed: 0.076 s
% 0.21/0.35 % (1957155)Peak memory usage: 17 MB
% 0.21/0.35 % (1957155)Instructions burned: 130 (million)
% 0.21/0.35 % (1957149)Success in time 0.133 s
% 0.21/0.35 % Vampire exiting
%------------------------------------------------------------------------------