%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR061+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:42:28 AM UTC 2026
% Result : Theorem 1.07s 1.79s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 21
% Syntax : Number of formulae : 83 ( 41 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 156 ( 91 ~; 56 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
fof(f7,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f9,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f11,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f13,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(f15,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
fof(f17,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
fof(f19,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
fof(f21,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
fof(f23,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
fof(f25,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
fof(f27,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
fof(f29,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
fof(f31,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
fof(f33,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
fof(f35,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
fof(f37,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
fof(f55,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X1) )
=> disjointwith(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
fof(f56,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X0) )
=> disjointwith(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
fof(f101,axiom,
! [X0,X1,X2] :
( ( genls(X0,X1)
& genls(X1,X2) )
=> genls(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just101) ).
fof(f119,conjecture,
( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query61) ).
fof(f120,negated_conjecture,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(negated_conjecture,[status(cth)],[f119]) ).
fof(f121,plain,
( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
& mtvisible(c_timehasnoendmt) ),
inference(ennf_transformation,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f123,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f125,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(flattening,[],[f124]) ).
fof(f136,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(ennf_transformation,[],[f101]) ).
fof(f137,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(flattening,[],[f136]) ).
fof(f198,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(cnf_transformation,[],[f121]) ).
fof(f200,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(cnf_transformation,[],[f13]) ).
fof(f201,plain,
! [X2,X0,X1] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f202,plain,
! [X2,X0,X1] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f207,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(cnf_transformation,[],[f35]) ).
fof(f212,plain,
! [X2,X0,X1] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f217,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(cnf_transformation,[],[f11]) ).
fof(f228,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(cnf_transformation,[],[f33]) ).
fof(f233,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(cnf_transformation,[],[f9]) ).
fof(f237,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(cnf_transformation,[],[f31]) ).
fof(f241,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(cnf_transformation,[],[f7]) ).
fof(f245,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(cnf_transformation,[],[f29]) ).
fof(f249,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(cnf_transformation,[],[f27]) ).
fof(f257,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(cnf_transformation,[],[f37]) ).
fof(f261,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(cnf_transformation,[],[f25]) ).
fof(f265,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(cnf_transformation,[],[f15]) ).
fof(f269,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(cnf_transformation,[],[f23]) ).
fof(f273,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(cnf_transformation,[],[f17]) ).
fof(f277,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(cnf_transformation,[],[f21]) ).
fof(f281,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(cnf_transformation,[],[f19]) ).
fof(f371,plain,
! [X0] :
( ~ disjointwith(X0,c_tptpcol_14_118118)
| ~ genls(c_tptpcol_8_114177,X0) ),
inference(resolution,[],[f201,f198]) ).
fof(f379,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| ~ genls(c_tptpcol_8_114177,X0)
| ~ genls(c_tptpcol_14_118118,X1) ),
inference(resolution,[],[f371,f202]) ).
fof(f429,plain,
( ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f379,f257]) ).
fof(f433,plain,
! [X0] :
( ~ genls(c_tptpcol_14_118118,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f429,f212]) ).
fof(f586,plain,
( ~ genls(c_tptpcol_13_118117,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f433,f207]) ).
fof(f589,plain,
! [X0] :
( ~ genls(c_tptpcol_13_118117,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f586,f212]) ).
fof(f633,plain,
( ~ genls(c_tptpcol_12_118116,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f589,f228]) ).
fof(f656,plain,
! [X0] :
( ~ genls(c_tptpcol_12_118116,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f633,f212]) ).
fof(f701,plain,
( ~ genls(c_tptpcol_11_118084,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f656,f237]) ).
fof(f724,plain,
! [X0] :
( ~ genls(c_tptpcol_11_118084,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f701,f212]) ).
fof(f769,plain,
( ~ genls(c_tptpcol_10_118020,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f724,f245]) ).
fof(f772,plain,
! [X0] :
( ~ genls(c_tptpcol_10_118020,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f769,f212]) ).
fof(f816,plain,
( ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f772,f253]) ).
fof(f836,plain,
! [X0] :
( ~ genls(c_tptpcol_9_118019,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f816,f212]) ).
fof(f886,plain,
( ~ genls(c_tptpcol_8_117763,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f836,f261]) ).
fof(f906,plain,
! [X0] :
( ~ genls(c_tptpcol_8_117763,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f886,f212]) ).
fof(f946,plain,
( ~ genls(c_tptpcol_7_117762,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f906,f269]) ).
fof(f949,plain,
! [X0] :
( ~ genls(c_tptpcol_7_117762,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f946,f212]) ).
fof(f990,plain,
( ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f949,f277]) ).
fof(f1011,plain,
! [X0] :
( ~ genls(c_tptpcol_6_116738,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f990,f212]) ).
fof(f1052,plain,
( ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305) ),
inference(resolution,[],[f1011,f281]) ).
fof(f1073,plain,
! [X0] :
( ~ genls(c_tptpcol_5_114690,X0)
| ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f1052,f212]) ).
fof(f1114,plain,
( ~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305)
| ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688) ),
inference(resolution,[],[f1073,f273]) ).
fof(f1117,plain,
~ genls(c_tptpcol_8_114177,c_tptpcol_3_98305),
inference(forward_subsumption_resolution,[],[f1114,f265]) ).
fof(f1118,plain,
! [X0] :
( ~ genls(c_tptpcol_8_114177,X0)
| ~ genls(X0,c_tptpcol_3_98305) ),
inference(resolution,[],[f1117,f212]) ).
fof(f1137,plain,
~ genls(c_tptpcol_7_113665,c_tptpcol_3_98305),
inference(resolution,[],[f1118,f200]) ).
fof(f1158,plain,
! [X0] :
( ~ genls(c_tptpcol_7_113665,X0)
| ~ genls(X0,c_tptpcol_3_98305) ),
inference(resolution,[],[f1137,f212]) ).
fof(f1159,plain,
~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305),
inference(resolution,[],[f1158,f217]) ).
fof(f1166,plain,
! [X0] :
( ~ genls(c_tptpcol_6_112641,X0)
| ~ genls(X0,c_tptpcol_3_98305) ),
inference(resolution,[],[f1159,f212]) ).
fof(f1185,plain,
~ genls(c_tptpcol_5_110593,c_tptpcol_3_98305),
inference(resolution,[],[f1166,f233]) ).
fof(f1188,plain,
! [X0] :
( ~ genls(c_tptpcol_5_110593,X0)
| ~ genls(X0,c_tptpcol_3_98305) ),
inference(resolution,[],[f1185,f212]) ).
fof(f1192,plain,
~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(resolution,[],[f1188,f241]) ).
fof(f1195,plain,
$false,
inference(forward_subsumption_resolution,[],[f1192,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR061+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.29 % Computer : n011.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Sep 28 22:21:46 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.30/0.35 Running first-order theorem proving
% 0.30/0.35 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.79 % (3849118)Detected formulas, will run a generic FOF schedule.
% 1.07/1.79 % (3849125)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=471124229:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.07/1.79 % (3849123)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=2727161532:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.07/1.79 % (3849124)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=361253945:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.07/1.79 % (3849127)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=493742928:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.07/1.79 % (3849126)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2547641873:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.07/1.79 % (3849126)Refutation not found, incomplete strategy
% 1.07/1.79 % (3849126)------------------------------
% 1.07/1.79 % (3849126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.07/1.79 % (3849126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/1.79 % (3849126)CaDiCaL version: 2.1.3
% 1.07/1.79 % (3849126)Termination reason: Refutation not found, incomplete strategy
% 1.07/1.79 % (3849126)Time elapsed: 0.002 s
% 1.07/1.79 % (3849126)Peak memory usage: 87 MB
% 1.07/1.79 % (3849128)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3685844302:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.07/1.79 % (3849129)dis-21_1_sil=8000:lcm=predicate:random_seed=166197546:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.07/1.79 % (3849127)First to succeed.
% 1.07/1.79 % (3849127)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3849118"
% 1.07/1.79 % (3849129)Also succeeded, but the first one will report.
% 1.07/1.79 % (3849128)Also succeeded, but the first one will report.
% 1.07/1.79 % (3849126)------------------------------
% 1.07/1.79 % (3849126)------------------------------
% 1.07/1.79 % (3849127)Refutation found. Thanks to Tanya!
% 1.07/1.79 % SZS status Theorem for theBenchmark
% 1.07/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/2.16 % (3849127)------------------------------
% 0.34/2.16 % (3849127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.34/2.16 % (3849127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/2.16 % (3849127)CaDiCaL version: 2.1.3
% 0.34/2.16 % (3849127)Termination reason: Refutation
% 0.34/2.16 % (3849127)Time elapsed: 0.019 s
% 0.34/2.16 % (3849127)Peak memory usage: 88 MB
% 0.34/2.16 % (3849127)Instructions burned: 20 (million)
% 0.34/2.16 % (3849127)------------------------------
% 0.34/2.16 % (3849127)------------------------------
% 0.34/2.16 % (3849118)Success in time 0.728 s
% 0.34/2.16 % Vampire exiting
%------------------------------------------------------------------------------