%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 09:44:36 AM UTC 2026
% Result : Theorem 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 75 ( 17 unt; 3 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 155 ( 66 ~; 70 |; 7 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 69 ( 0 sgn 67 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_94) ).
fof(f164,axiom,
! [X0] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(X0) )
=> tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_164) ).
fof(f165,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_165) ).
fof(f243,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_243) ).
fof(f254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(f297,axiom,
! [X0,X1,X2,X3] :
( ( isa(X0,X1)
& relationallexists(X2,X1,X3) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_297) ).
fof(f783,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_29490)
=> tptpcol_16_29490(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_783) ).
fof(f919,axiom,
! [X0] :
( executionbyfiringsquad(X0)
=> isa(X0,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_919) ).
fof(f1123,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(f1128,axiom,
! [X0,X1,X2] :
( ( genlmt(X0,X1)
& genlmt(X1,X2) )
=> genlmt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1128) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
& tptpcol_16_29490(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query94) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
& tptpcol_16_29490(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1305,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0) ),
inference(ennf_transformation,[],[f164]) ).
fof(f1306,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0) ),
inference(flattening,[],[f1305]) ).
fof(f1307,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f165]) ).
fof(f1367,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(ennf_transformation,[],[f297]) ).
fof(f1368,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(flattening,[],[f1367]) ).
fof(f1706,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(ennf_transformation,[],[f783]) ).
fof(f1818,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(ennf_transformation,[],[f919]) ).
fof(f2012,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f1123]) ).
fof(f2013,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f2012]) ).
fof(f2018,plain,
! [X0,X1,X2] :
( genlmt(X0,X2)
| ~ genlmt(X0,X1)
| ~ genlmt(X1,X2) ),
inference(ennf_transformation,[],[f1128]) ).
fof(f2019,plain,
! [X0,X1,X2] :
( genlmt(X0,X2)
| ~ genlmt(X0,X1)
| ~ genlmt(X1,X2) ),
inference(flattening,[],[f2018]) ).
fof(f2022,plain,
! [X0] :
( ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) )
& mtvisible(c_tptp_member3633_mt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2115,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f94]) ).
fof(f2185,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt)
| tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(cnf_transformation,[],[f1306]) ).
fof(f2186,plain,
( ~ mtvisible(c_cyclistsmt)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(cnf_transformation,[],[f1307]) ).
fof(f2264,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f243]) ).
fof(f2275,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f254]) ).
fof(f2318,plain,
! [X2,X3,X0,X1] :
( ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1)
| isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
inference(cnf_transformation,[],[f1368]) ).
fof(f2756,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f1706]) ).
fof(f2871,plain,
! [X0] :
( ~ executionbyfiringsquad(X0)
| isa(X0,c_executionbyfiringsquad) ),
inference(cnf_transformation,[],[f1818]) ).
fof(f3053,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f2013]) ).
fof(f3058,plain,
! [X2,X0,X1] :
( ~ genlmt(X1,X2)
| ~ genlmt(X0,X1)
| genlmt(X0,X2) ),
inference(cnf_transformation,[],[f2019]) ).
fof(f3062,plain,
! [X0] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[],[f2022]) ).
fof(f3063,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f2022]) ).
fof(f3120,plain,
~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(consistent_polarity_flipping,[],[f2115]) ).
fof(f3163,plain,
! [X0] :
( executionbyfiringsquad(X0)
| ~ mtvisible(c_cyclistsmt)
| ~ tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(consistent_polarity_flipping,[],[f2185]) ).
fof(f3164,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
inference(consistent_polarity_flipping,[],[f2186]) ).
fof(f3207,plain,
~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(consistent_polarity_flipping,[],[f2264]) ).
fof(f3213,plain,
~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(consistent_polarity_flipping,[],[f2275]) ).
fof(f3238,plain,
! [X2,X3,X0,X1] :
( ~ isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| isa(X0,X1)
| relationallexists(X2,X1,X3) ),
inference(consistent_polarity_flipping,[],[f2318]) ).
fof(f3568,plain,
! [X0] :
( ~ tptpcol_16_29490(X0)
| isa(X0,c_tptpcol_16_29490) ),
inference(consistent_polarity_flipping,[],[f2756]) ).
fof(f3681,plain,
! [X0] :
( ~ isa(X0,c_executionbyfiringsquad)
| executionbyfiringsquad(X0) ),
inference(consistent_polarity_flipping,[],[f2871]) ).
fof(f3846,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| genlmt(X0,X1)
| mtvisible(X1) ),
inference(consistent_polarity_flipping,[],[f3053]) ).
fof(f3851,plain,
! [X2,X0,X1] :
( ~ genlmt(X0,X2)
| genlmt(X0,X1)
| genlmt(X1,X2) ),
inference(consistent_polarity_flipping,[],[f3058]) ).
fof(f3854,plain,
! [X0] :
( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| tptpcol_16_29490(X0) ),
inference(consistent_polarity_flipping,[],[f3062]) ).
fof(f3919,definition,
( spl0_15
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f4072,definition,
( spl0_48
<=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f4074,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| spl0_48 ),
inference(avatar_component_clause,[],[f4072]) ).
fof(f4075,plain,
( ~ spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f3164,f3919,f4072]) ).
fof(f4077,definition,
( spl0_49
<=> ! [X0] :
( executionbyfiringsquad(X0)
| ~ tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f4078,plain,
( ! [X0] :
( ~ tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| executionbyfiringsquad(X0) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f4077]) ).
fof(f4079,plain,
( ~ spl0_15
| spl0_49 ),
inference(avatar_split_clause,[],[f3163,f4077,f3919]) ).
fof(f4697,plain,
! [X0] :
( genlmt(c_tptp_member3633_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f3846,f3063]) ).
fof(f5299,plain,
! [X0,X1] :
( genlmt(c_tptp_member3633_mt,X0)
| genlmt(X0,X1)
| mtvisible(X1) ),
inference(resolution,[],[f3851,f4697]) ).
fof(f5300,plain,
! [X0] :
( genlmt(c_tptp_spindleheadmt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f5299,f3207]) ).
fof(f5663,plain,
mtvisible(c_cyclistsmt),
inference(resolution,[],[f5300,f3213]) ).
fof(f5668,plain,
spl0_15,
inference(avatar_split_clause,[],[f5663,f3919]) ).
fof(f5694,plain,
( executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ spl0_49 ),
inference(resolution,[],[f4078,f3854]) ).
fof(f5695,plain,
( tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f5694,f3120]) ).
fof(f5699,plain,
( isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
| ~ spl0_49 ),
inference(resolution,[],[f5695,f3568]) ).
fof(f5827,plain,
( isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ spl0_49 ),
inference(resolution,[],[f5699,f3238]) ).
fof(f5829,plain,
( isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f5827,f4074]) ).
fof(f5837,plain,
( executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| spl0_48
| ~ spl0_49 ),
inference(resolution,[],[f5829,f3681]) ).
fof(f5838,plain,
( $false
| spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f5837,f3120]) ).
fof(f5839,plain,
( spl0_48
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f5838]) ).
cnf(s34,plain,
( ~ spl0_15
| ~ spl0_48 ),
inference(sat_conversion,[],[f4075]) ).
cnf(s35,plain,
( ~ spl0_15
| spl0_49 ),
inference(sat_conversion,[],[f4079]) ).
cnf(s74,plain,
spl0_15,
inference(sat_conversion,[],[f5668]) ).
cnf(s78,plain,
( spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f5839]) ).
cnf(s84,plain,
spl0_49,
inference(rat,[],[s35,s74]) ).
cnf(s85,plain,
spl0_48,
inference(rat,[],[s78,s84]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s34,s85,s74]) ).
fof(f5840,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:15:36 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.31 % (1645109)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (1645117)dis+10_1_sil=32000:sp=arity:random_seed=240947311:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (1645115)% WARNING: option uhcvi not known.
% 0.20/0.31 % (1645115)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4226906778:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31 % (1645116)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1559903523:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31 % (1645118)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=851222189:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31 % (1645119)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=783426889:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31 % (1645114)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1169264117_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31 % (1645120)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=225217179:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31 % (1645117)Instruction limit reached!
% 0.20/0.31 % (1645117)------------------------------
% 0.20/0.31 % (1645117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (1645117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (1645117)CaDiCaL version: 2.1.3
% 0.20/0.31 % (1645117)Termination reason: Instruction limit
% 0.20/0.31 % (1645117)Termination phase: Saturation
% 0.20/0.31 % (1645117)Time elapsed: 0.031 s
% 0.20/0.31 % (1645117)Peak memory usage: 15 MB
% 0.20/0.31 % (1645117)Instructions burned: 106 (million)
% 0.20/0.31 % (1645128)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2212924295:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.31 % TRYING [1]
% 0.20/0.31 % TRYING [2]
% 0.20/0.31 % TRYING [1]
% 0.20/0.31 % (1645115) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1645109-1645115"...
% 0.20/0.31 % TRYING [2]
% 0.20/0.31 % (1645115)...printing done.
% 0.20/0.31 % TRYING [3]
% 0.20/0.31 % (1645115)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Theorem for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (1645115)------------------------------
% 0.20/0.32 % (1645115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1645115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1645115)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1645115)Termination reason: Refutation
% 0.20/0.32 % (1645115)Time elapsed: 0.049 s
% 0.20/0.32 % (1645115)Peak memory usage: 15 MB
% 0.20/0.32 % (1645115)Instructions burned: 83 (million)
% 0.20/0.32 % (1645109)Success in time 0.093 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------