%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR044+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:42:15 AM UTC 2026
% Result : Theorem 4.10s 1.48s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 13 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 91 ( 43 ~; 34 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 42 ( 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2944,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/sandbox2/benchmark/theBenchmark.p',ax2_2944) ).
fof(f2945,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2945) ).
fof(f3768,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3768) ).
fof(f3932,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3932) ).
fof(f4341,axiom,
! [X0,X1,X2,X3] :
( ( isa(X0,X1)
& relationallexists(X2,X1,X3) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4341) ).
fof(f4481,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4481) ).
fof(f5730,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_29490)
=> tptpcol_16_29490(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_5730) ).
fof(f7920,axiom,
! [X0] :
( executionbyfiringsquad(X0)
=> isa(X0,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7920) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
& tptpcol_16_29490(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query144) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
& tptpcol_16_29490(X0) ) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8022,plain,
! [X0] :
( ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) )
& mtvisible(c_tptp_member3633_mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8023,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f8024,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f8023]) ).
fof(f8027,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(ennf_transformation,[],[f5730]) ).
fof(f8030,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f2945]) ).
fof(f8031,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,[],[f2944]) ).
fof(f8032,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,[],[f8031]) ).
fof(f8038,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(ennf_transformation,[],[f4341]) ).
fof(f8039,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(flattening,[],[f8038]) ).
fof(f8042,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(ennf_transformation,[],[f7920]) ).
fof(f8063,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f8022]) ).
fof(f8064,plain,
! [X0] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f8022]) ).
fof(f8065,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f8024]) ).
fof(f8066,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f3768]) ).
fof(f8069,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f3932]) ).
fof(f8074,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| tptpcol_16_29490(X0) ),
inference(cnf_transformation,[],[f8027]) ).
fof(f8078,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f8030]) ).
fof(f8079,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(cnf_transformation,[],[f8032]) ).
fof(f8082,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f4481]) ).
fof(f8087,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(cnf_transformation,[],[f8039]) ).
fof(f8089,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f8042]) ).
fof(f8115,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f8065,f8082]) ).
fof(f8118,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f8065,f8069]) ).
fof(f8120,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f8118,f8063]) ).
fof(f8122,plain,
mtvisible(c_cyclistsmt),
inference(forward_subsumption_resolution,[],[f8115,f8120]) ).
fof(f8128,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ executionbyfiringsquad(X0) ),
inference(forward_subsumption_resolution,[],[f8079,f8122]) ).
fof(f8129,plain,
( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
| ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
inference(resolution,[],[f8128,f8064]) ).
fof(f8131,plain,
~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(forward_subsumption_resolution,[],[f8129,f8066]) ).
fof(f8135,plain,
! [X2,X0,X1] :
( tptpcol_16_29490(f_relationallexistsfn(X0,X2,X1,c_tptpcol_16_29490))
| ~ relationallexists(X2,X1,c_tptpcol_16_29490)
| ~ isa(X0,X1) ),
inference(resolution,[],[f8087,f8074]) ).
fof(f8156,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
inference(resolution,[],[f8135,f8131]) ).
fof(f8157,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f8156,f8078]) ).
fof(f8158,plain,
~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(forward_subsumption_resolution,[],[f8157,f8122]) ).
fof(f8159,plain,
~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(resolution,[],[f8158,f8089]) ).
fof(f8161,plain,
$false,
inference(forward_subsumption_resolution,[],[f8159,f8066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR044+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.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 22:16:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.10/1.48 % (1243330)Detected formulas, will run a generic FOF schedule.
% 4.10/1.48 % (1243337)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=151215612:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.10/1.48 % (1243339)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=116403944:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.10/1.48 % (1243341)dis-21_1_sil=8000:lcm=predicate:random_seed=1307386511:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.10/1.48 % (1243340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1510508771:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.10/1.48 % (1243338)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3796796052:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.10/1.48 % (1243335)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=1762944104:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.10/1.48 % (1243336)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=234909790:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.10/1.48 % (1243338)Refutation not found, incomplete strategy
% 4.10/1.48 % (1243338)------------------------------
% 4.10/1.48 % (1243338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.48 % (1243338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.48 % (1243338)CaDiCaL version: 2.1.3
% 4.10/1.48 % (1243338)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.48 % (1243338)Time elapsed: 0.016 s
% 4.10/1.48 % (1243338)Peak memory usage: 93 MB
% 4.10/1.48 % (1243338)Instructions burned: 24 (million)
% 4.10/1.48 % (1243339)First to succeed.
% 4.10/1.48 % (1243339)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1243330"
% 4.10/1.48 % (1243341)Also succeeded, but the first one will report.
% 4.10/1.48 % (1243340)Instruction limit reached!
% 4.10/1.48 % (1243340)------------------------------
% 4.10/1.48 % (1243340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.48 % (1243340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.48 % (1243340)CaDiCaL version: 2.1.3
% 4.10/1.48 % (1243340)Termination reason: Instruction limit
% 4.10/1.48 % (1243340)Termination phase: Property scanning
% 4.10/1.48 % (1243340)Time elapsed: 0.077 s
% 4.10/1.48 % (1243340)Peak memory usage: 93 MB
% 4.10/1.48 % (1243340)Instructions burned: 139 (million)
% 4.10/1.48 % (1243349)lrs+10_1_sil=8000:sp=occurrence:random_seed=2362965832:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.10/1.48 % (1243338)------------------------------
% 4.10/1.48 % (1243338)------------------------------
% 4.10/1.48 % (1243349)Also succeeded, but the first one will report.
% 4.10/1.48 % (1243339)Refutation found. Thanks to Tanya!
% 4.10/1.48 % SZS status Theorem for theBenchmark
% 4.10/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/1.48 % (1243339)------------------------------
% 4.10/1.48 % (1243339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.48 % (1243339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.48 % (1243339)CaDiCaL version: 2.1.3
% 4.10/1.48 % (1243339)Termination reason: Refutation
% 4.10/1.48 % (1243339)Time elapsed: 0.020 s
% 4.10/1.48 % (1243339)Peak memory usage: 94 MB
% 4.10/1.48 % (1243339)Instructions burned: 29 (million)
% 4.10/1.48 % (1243339)------------------------------
% 4.10/1.48 % (1243339)------------------------------
% 4.10/1.48 % (1243330)Success in time 0.619 s
% 4.10/1.48 % Vampire exiting
%------------------------------------------------------------------------------