%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR031+4 : 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 : n002.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 09:42:04 AM UTC 2026
% Result : Theorem 6.67s 2.52s
% Output : Refutation 6.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4028,axiom,
! [X0] :
~ ( collection(X0)
& individual(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_4028) ).
fof(f20191,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_20191) ).
fof(f41385,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> collection(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_41385) ).
fof(f44217,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query181) ).
fof(f44218,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44219,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(flattening,[],[f44218]) ).
fof(f44225,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(ennf_transformation,[],[f41385]) ).
fof(f44253,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(ennf_transformation,[],[f4028]) ).
fof(f44275,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[],[f44219]) ).
fof(f44279,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| collection(X0) ),
inference(cnf_transformation,[],[f44225]) ).
fof(f44291,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[],[f20191]) ).
fof(f44313,plain,
! [X0] :
( ~ collection(X0)
| ~ individual(X0) ),
inference(cnf_transformation,[],[f44253]) ).
fof(f44352,plain,
collection(c_tptptptpcol_16_8398),
inference(resolution,[],[f44279,f44275]) ).
fof(f44355,plain,
~ individual(c_tptptptpcol_16_8398),
inference(resolution,[],[f44352,f44313]) ).
fof(f44357,plain,
$false,
inference(forward_subsumption_resolution,[],[f44355,f44291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n002.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 22:14:22 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 Running first-order theorem proving
% 0.10/0.27 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
% 6.67/2.52 % (836097)Detected formulas, will run a generic FOF schedule.
% 6.67/2.52 % (836257)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=2048187290:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 6.67/2.52 % (836259)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3007235970:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 6.67/2.52 % (836256)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=3443691763:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 6.67/2.52 % (836262)dis-21_1_sil=8000:lcm=predicate:random_seed=1192736810:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 6.67/2.52 % (836258)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=914151635:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 6.67/2.52 % (836260)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3260330658:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 6.67/2.52 % (836261)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2785126281:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 6.67/2.52 % (836261)Instruction limit reached!
% 6.67/2.52 % (836261)------------------------------
% 6.67/2.52 % (836261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.52 % (836261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.52 % (836261)CaDiCaL version: 2.1.3
% 6.67/2.52 % (836261)Termination reason: Instruction limit
% 6.67/2.52 % (836261)Termination phase: Property scanning
% 6.67/2.52 % (836261)Time elapsed: 0.065 s
% 6.67/2.52 % (836261)Peak memory usage: 110 MB
% 6.67/2.52 % (836261)Instructions burned: 140 (million)
% 6.67/2.52 % (836262)Instruction limit reached!
% 6.67/2.52 % (836262)------------------------------
% 6.67/2.52 % (836262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.52 % (836262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.52 % (836262)CaDiCaL version: 2.1.3
% 6.67/2.52 % (836262)Termination reason: Instruction limit
% 6.67/2.52 % (836262)Termination phase: SInE selection
% 6.67/2.52 % (836262)Time elapsed: 0.074 s
% 6.67/2.52 % (836262)Peak memory usage: 111 MB
% 6.67/2.52 % (836262)Instructions burned: 129 (million)
% 6.67/2.52 % (836259)Instruction limit reached!
% 6.67/2.52 % (836259)------------------------------
% 6.67/2.52 % (836259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.52 % (836259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.52 % (836259)CaDiCaL version: 2.1.3
% 6.67/2.52 % (836259)Termination reason: Instruction limit
% 6.67/2.52 % (836259)Termination phase: Saturation
% 6.67/2.52 % (836259)Time elapsed: 0.083 s
% 6.67/2.52 % (836259)Peak memory usage: 117 MB
% 6.67/2.52 % (836259)Instructions burned: 112 (million)
% 6.67/2.52 % (836260)Instruction limit reached!
% 6.67/2.52 % (836260)------------------------------
% 6.67/2.52 % (836260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.52 % (836260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.52 % (836260)CaDiCaL version: 2.1.3
% 6.67/2.52 % (836260)Termination reason: Instruction limit
% 6.67/2.52 % (836260)Termination phase: Saturation
% 6.67/2.52 % (836260)Time elapsed: 0.086 s
% 6.67/2.52 % (836260)Peak memory usage: 116 MB
% 6.67/2.52 % (836260)Instructions burned: 121 (million)
% 6.67/2.52 % (836270)lrs+10_1_sil=8000:sp=occurrence:random_seed=734336889:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 6.67/2.52 % (836271)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2218203384:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 6.67/2.52 % (836272)lrs+1011_1_sil=32000:sp=occurrence:random_seed=458051092:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 6.67/2.52 % (836273)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1988223170:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 6.67/2.52 % (836271)Instruction limit reached!
% 6.67/2.52 % (836271)------------------------------
% 6.67/2.52 % (836271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.52 % (836271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.52 % (836271)CaDiCaL version: 2.1.3
% 6.67/2.52 % (836271)Termination reason: Instruction limit
% 6.67/2.52 % (836271)Termination phase: Property scanning
% 6.67/2.52 % (836271)Time elapsed: 0.072 s
% 6.67/2.52 % (836271)Peak memory usage: 110 MB
% 6.67/2.52 % (836271)Instructions burned: 159 (million)
% 6.67/2.52 % (836270)First to succeed.
% 6.67/2.52 % (836270)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-836097"
% 6.67/2.52 % (836272)Refutation not found, incomplete strategy
% 6.67/2.52 % (836272)------------------------------
% 6.67/2.52 % (836272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.52 % (836272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.52 % (836272)CaDiCaL version: 2.1.3
% 6.67/2.52 % (836272)Termination reason: Refutation not found, incomplete strategy
% 6.67/2.52 % (836272)Time elapsed: 0.085 s
% 6.67/2.52 % (836272)Peak memory usage: 118 MB
% 6.67/2.52 % (836272)Instructions burned: 109 (million)
% 6.67/2.52 % (836273)Instruction limit reached!
% 6.67/2.52 % (836273)------------------------------
% 6.67/2.52 % (836273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.52 % (836273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.52 % (836273)CaDiCaL version: 2.1.3
% 6.67/2.52 % (836273)Termination reason: Instruction limit
% 6.67/2.52 % (836273)Termination phase: SInE selection
% 6.67/2.52 % (836273)Time elapsed: 0.127 s
% 6.67/2.52 % (836273)Peak memory usage: 111 MB
% 6.67/2.52 % (836273)Instructions burned: 249 (million)
% 6.67/2.52 % (836278)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3154165152:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 6.67/2.52 % (836279)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1002427623:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 6.67/2.52 % (836278)Also succeeded, but the first one will report.
% 6.67/2.52 % (836272)------------------------------
% 6.67/2.52 % (836272)------------------------------
% 6.67/2.52 % (836270)Refutation found. Thanks to Tanya!
% 6.67/2.52 % SZS status Theorem for theBenchmark
% 6.67/2.52 % SZS output start Proof for theBenchmark
% See solution above
% 6.67/2.52 % (836270)------------------------------
% 6.67/2.52 % (836270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/2.53 % (836270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/2.53 % (836270)CaDiCaL version: 2.1.3
% 6.67/2.53 % (836270)Termination reason: Refutation
% 6.67/2.53 % (836270)Time elapsed: 0.087 s
% 6.67/2.53 % (836270)Peak memory usage: 119 MB
% 6.67/2.53 % (836270)Instructions burned: 114 (million)
% 6.67/2.53 % (836270)------------------------------
% 6.67/2.53 % (836270)------------------------------
% 6.67/2.53 % (836097)Success in time 1.604 s
% 6.67/2.53 % Vampire exiting
%------------------------------------------------------------------------------