%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA007-1 : 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 : n001.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 09:31:15 AM UTC 2026
% Result : Unsatisfiable 1.18s 0.54s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1819,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| X1 = c_times(c_1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__right1_2) ).
fof(f1820,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_times(c_1,X1,X0) = X1 ),
inference(reorient_equations,[],[f1819]) ).
fof(f2262,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f3037,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f3364,negated_conjecture,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(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(f9160,plain,
! [X0] : c_times(c_1,X0,t_b) = X0,
inference(resolution,[],[f1820,f3365]) ).
fof(f9162,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(superposition,[],[f3364,f9160]) ).
fof(f9221,plain,
~ class_Orderings_Oorder(t_b),
inference(resolution,[],[f9162,f2262]) ).
fof(f9229,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(resolution,[],[f9221,f3037]) ).
fof(f9247,plain,
$false,
inference(resolution,[],[f9229,f3365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA007-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:34:14 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 1.18/0.54 % (687182)Will run a generic schedule for satisfiability detection.
% 1.18/0.54 % (687187)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4115358742_2999 on theBenchmark for (2999ds/0Mi)
% 1.18/0.54 % (687188)% WARNING: option uhcvi not known.
% 1.18/0.54 % (687189)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1871309605:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.18/0.54 % (687188)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3955941930:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.18/0.54 % (687191)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1164412010:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.18/0.54 % (687192)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=127645361:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.18/0.54 % (687193)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1262260100:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.18/0.54 % (687190)dis+10_1_sil=32000:sp=arity:random_seed=1286015587:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.18/0.54 % (687190)Instruction limit reached!
% 1.18/0.54 % (687190)------------------------------
% 1.18/0.54 % (687190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54 % (687190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54 % (687190)CaDiCaL version: 2.1.3
% 1.18/0.54 % (687190)Termination reason: Instruction limit
% 1.18/0.54 % (687190)Termination phase: Saturation
% 1.18/0.54 % (687190)Time elapsed: 0.060 s
% 1.18/0.54 % (687190)Peak memory usage: 15 MB
% 1.18/0.54 % (687190)Instructions burned: 104 (million)
% 1.18/0.54 % (687191)Instruction limit reached!
% 1.18/0.54 % (687191)------------------------------
% 1.18/0.54 % (687191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54 % (687191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54 % (687191)CaDiCaL version: 2.1.3
% 1.18/0.54 % (687191)Termination reason: Instruction limit
% 1.18/0.54 % (687191)Termination phase: Saturation
% 1.18/0.54 % (687191)Time elapsed: 0.063 s
% 1.18/0.54 % (687191)Peak memory usage: 15 MB
% 1.18/0.54 % (687191)Instructions burned: 116 (million)
% 1.18/0.54 % (687192)Instruction limit reached!
% 1.18/0.54 % (687192)------------------------------
% 1.18/0.54 % (687192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54 % (687192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54 % (687192)CaDiCaL version: 2.1.3
% 1.18/0.54 % (687192)Termination reason: Instruction limit
% 1.18/0.54 % (687192)Termination phase: Saturation
% 1.18/0.54 % (687192)Time elapsed: 0.075 s
% 1.18/0.54 % (687192)Peak memory usage: 16 MB
% 1.18/0.54 % (687192)Instructions burned: 132 (million)
% 1.18/0.54 % (687201)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=650048618:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.18/0.54 % (687202)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3973185976:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.18/0.54 % (687193)Instruction limit reached!
% 1.18/0.54 % (687193)------------------------------
% 1.18/0.54 % (687193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54 % (687193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54 % (687193)CaDiCaL version: 2.1.3
% 1.18/0.54 % (687193)Termination reason: Instruction limit
% 1.18/0.54 % (687193)Termination phase: Saturation
% 1.18/0.54 % (687193)Time elapsed: 0.092 s
% 1.18/0.54 % (687193)Peak memory usage: 16 MB
% 1.18/0.54 % (687193)Instructions burned: 159 (million)
% 1.18/0.54 % (687203)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4078902763:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.18/0.54 % (687206)ott-21_1_sil=16000:fs=off:random_seed=301336483:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.18/0.54 % TRYING [1]
% 1.18/0.54 % (687202)Instruction limit reached!
% 1.18/0.54 % (687202)------------------------------
% 1.18/0.54 % (687202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54 % (687202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54 % (687202)CaDiCaL version: 2.1.3
% 1.18/0.54 % (687202)Termination reason: Instruction limit
% 1.18/0.54 % (687202)Termination phase: Saturation
% 1.18/0.54 % (687202)Time elapsed: 0.074 s
% 1.18/0.54 % (687202)Peak memory usage: 16 MB
% 1.18/0.54 % (687202)Instructions burned: 132 (million)
% 1.18/0.54 % TRYING [2]
% 1.18/0.54 % (687209)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1500157346:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.18/0.54 % (687206) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-687182-687206"...
% 1.18/0.54 % (687206)...printing done.
% 1.18/0.54 % (687206)Refutation found. Thanks to Tanya!
% 1.18/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.54 % (687206)------------------------------
% 1.18/0.54 % (687206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.54 % (687206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.54 % (687206)CaDiCaL version: 2.1.3
% 1.18/0.54 % (687206)Termination reason: Refutation
% 1.18/0.54 % (687206)Time elapsed: 0.077 s
% 1.18/0.54 % (687206)Peak memory usage: 16 MB
% 1.18/0.54 % (687206)Instructions burned: 143 (million)
% 1.18/0.54 % (687182)Success in time 0.306 s
% 1.18/0.54 % Vampire exiting
%------------------------------------------------------------------------------