%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:44:53 AM UTC 2026
% Result : Theorem 1.28s 0.94s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 13 unt; 2 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 70 ( 33 ~; 28 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_385) ).
fof(f1436,axiom,
! [X0] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(X0) )
=> tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1436) ).
fof(f1607,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1607) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
fof(f8006,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query168) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f9305,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(ennf_transformation,[],[f1436]) ).
fof(f9306,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt)
| ~ furpelt(X0) ),
inference(flattening,[],[f9305]) ).
fof(f13390,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f13391,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f13390]) ).
fof(f13400,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f13778,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[],[f385]) ).
fof(f14808,plain,
! [X0] :
( ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(cnf_transformation,[],[f9306]) ).
fof(f14974,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f1607]) ).
fof(f20678,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f13391]) ).
fof(f20687,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[],[f13400]) ).
fof(f20688,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[],[f13400]) ).
fof(f21261,plain,
! [X0] :
( ~ furpelt(X0)
| mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
inference(consistent_polarity_flipping,[],[f14808]) ).
fof(f25193,plain,
! [X0,X1] :
( ~ mtvisible(X1)
| mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(consistent_polarity_flipping,[],[f20678]) ).
fof(f25201,plain,
~ mtvisible(c_tptp_member2356_mt),
inference(consistent_polarity_flipping,[],[f20687]) ).
fof(f25546,definition,
( spl0_77
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f25548,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f25546]) ).
fof(f26888,definition,
( spl0_363
<=> ! [X0] :
( ~ furpelt(X0)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
fof(f26889,plain,
( ! [X0] :
( ~ furpelt(X0)
| tptpofobject(X0,f_tptpquantityfn_1(n_328)) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f26888]) ).
fof(f27788,plain,
( spl0_77
| spl0_363 ),
inference(avatar_split_clause,[],[f21261,f26888,f25546]) ).
fof(f35945,plain,
( ! [X0] :
( ~ genlmt(X0,c_tptp_spindleheadmt)
| mtvisible(X0) )
| ~ spl0_77 ),
inference(resolution,[],[f25193,f25548]) ).
fof(f41727,plain,
( mtvisible(c_tptp_member2356_mt)
| ~ spl0_77 ),
inference(resolution,[],[f35945,f14974]) ).
fof(f41792,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f41727,f25201]) ).
fof(f41793,plain,
~ spl0_77,
inference(avatar_contradiction_clause,[],[f41792]) ).
fof(f41828,plain,
( tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
| ~ spl0_363 ),
inference(resolution,[],[f26889,f13778]) ).
fof(f41830,plain,
( $false
| ~ spl0_363 ),
inference(forward_subsumption_resolution,[],[f41828,f20688]) ).
fof(f41831,plain,
~ spl0_363,
inference(avatar_contradiction_clause,[],[f41830]) ).
cnf(s476,plain,
( spl0_77
| spl0_363 ),
inference(sat_conversion,[],[f27788]) ).
cnf(s1143,plain,
~ spl0_77,
inference(sat_conversion,[],[f41793]) ).
cnf(s1147,plain,
~ spl0_363,
inference(sat_conversion,[],[f41831]) ).
cnf(s1198,plain,
$false,
inference(rat,[],[s476,s1147,s1143]) ).
fof(f41832,plain,
$false,
inference(avatar_sat_refutation,[],[s1198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 % Computer : n016.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Mon Sep 28 22:29:04 UTC 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.29 Running first-order model finding
% 0.25/0.29 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
% 1.28/0.94 % (4108814)Will run a generic schedule for satisfiability detection.
% 1.28/0.94 % (4108822)% WARNING: option uhcvi not known.
% 1.28/0.94 % (4108824)dis+10_1_sil=32000:sp=arity:random_seed=1388013499:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 1.28/0.94 % (4108822)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=21376371:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 1.28/0.94 % (4108821)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=261199134_2997 on theBenchmark for (2997ds/0Mi)
% 1.28/0.94 % (4108823)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2628897722:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 1.28/0.94 % (4108825)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=256556767:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 1.28/0.94 % (4108827)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1909149839:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 1.28/0.94 % (4108826)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3445492436:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 1.28/0.94 % (4108824)Instruction limit reached!
% 1.28/0.94 % (4108824)------------------------------
% 1.28/0.94 % (4108824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.94 % (4108824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.94 % (4108824)CaDiCaL version: 2.1.3
% 1.28/0.94 % (4108824)Termination reason: Instruction limit
% 1.28/0.94 % (4108824)Termination phase: Saturation
% 1.28/0.94 % (4108824)Time elapsed: 0.062 s
% 1.28/0.94 % (4108824)Peak memory usage: 22 MB
% 1.28/0.94 % (4108824)Instructions burned: 105 (million)
% 1.28/0.94 % (4108835)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3815130573:i=714:nm=2_2996 on theBenchmark for (2996ds/714Mi)
% 1.28/0.94 % (4108825)Instruction limit reached!
% 1.28/0.94 % (4108825)------------------------------
% 1.28/0.94 % (4108825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.94 % (4108825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.94 % (4108825)CaDiCaL version: 2.1.3
% 1.28/0.94 % (4108825)Termination reason: Instruction limit
% 1.28/0.94 % (4108825)Termination phase: Blocked clause elimination
% 1.28/0.94 % (4108825)Time elapsed: 0.128 s
% 1.28/0.94 % (4108825)Peak memory usage: 24 MB
% 1.28/0.94 % (4108825)Instructions burned: 116 (million)
% 1.28/0.94 % (4108826)Instruction limit reached!
% 1.28/0.94 % (4108826)------------------------------
% 1.28/0.94 % (4108826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.94 % (4108826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.94 % (4108826)CaDiCaL version: 2.1.3
% 1.28/0.94 % (4108826)Termination reason: Instruction limit
% 1.28/0.94 % (4108826)Termination phase: Saturation
% 1.28/0.94 % (4108826)Time elapsed: 0.134 s
% 1.28/0.94 % (4108826)Peak memory usage: 23 MB
% 1.28/0.94 % (4108826)Instructions burned: 131 (million)
% 1.28/0.94 % (4108838)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=2135746970:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 1.28/0.94 % (4108837)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1652722965:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 1.28/0.94 % (4108827)Instruction limit reached!
% 1.28/0.94 % (4108827)------------------------------
% 1.28/0.94 % (4108827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.94 % (4108827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.94 % (4108827)CaDiCaL version: 2.1.3
% 1.28/0.94 % (4108827)Termination reason: Instruction limit
% 1.28/0.94 % (4108827)Termination phase: Saturation
% 1.28/0.94 % (4108827)Time elapsed: 0.162 s
% 1.28/0.94 % (4108827)Peak memory usage: 25 MB
% 1.28/0.94 % (4108827)Instructions burned: 159 (million)
% 1.28/0.94 % (4108841)ott-21_1_sil=16000:fs=off:random_seed=4098735669:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 1.28/0.94 % (4108837)Instruction limit reached!
% 1.28/0.94 % (4108837)------------------------------
% 1.28/0.94 % (4108837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.94 % (4108837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.94 % (4108837)CaDiCaL version: 2.1.3
% 1.28/0.94 % (4108837)Termination reason: Instruction limit
% 1.28/0.94 % (4108837)Termination phase: Blocked clause elimination
% 1.28/0.94 % (4108837)Time elapsed: 0.135 s
% 1.28/0.94 % (4108837)Peak memory usage: 23 MB
% 1.28/0.94 % (4108837)Instructions burned: 132 (million)
% 1.28/0.94 % (4108822) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4108814-4108822"...
% 1.28/0.94 % (4108822)...printing done.
% 1.28/0.94 % (4108822)Refutation found. Thanks to Tanya!
% 1.28/0.94 % SZS status Theorem for theBenchmark
% 1.28/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.94 % (4108822)------------------------------
% 1.28/0.94 % (4108822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.94 % (4108822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.94 % (4108822)CaDiCaL version: 2.1.3
% 1.28/0.94 % (4108822)Termination reason: Refutation
% 1.28/0.94 % (4108822)Time elapsed: 0.336 s
% 1.28/0.94 % (4108822)Peak memory usage: 36 MB
% 1.28/0.94 % (4108822)Instructions burned: 626 (million)
% 1.28/0.94 % (4108814)Success in time 0.623 s
% 1.28/0.94 % Vampire exiting
%------------------------------------------------------------------------------