%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR061+2 : 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 : 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 09:42:28 AM UTC 2026
% Result : Theorem 0.69s 1.02s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 20
% Syntax : Number of formulae : 79 ( 52 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 63 ~; 28 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_68) ).
fof(f70,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_70) ).
fof(f100,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_100) ).
fof(f129,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_129) ).
fof(f160,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_160) ).
fof(f215,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_215) ).
fof(f235,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_235) ).
fof(f258,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_258) ).
fof(f356,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_356) ).
fof(f361,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_361) ).
fof(f387,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_387) ).
fof(f393,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_393) ).
fof(f401,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_401) ).
fof(f422,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_422) ).
fof(f487,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_487) ).
fof(f489,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_489) ).
fof(f499,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_499) ).
fof(f1121,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X1) )
=> disjointwith(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1121) ).
fof(f1122,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X0) )
=> disjointwith(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1122) ).
fof(f1132,conjecture,
( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query111) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1134,plain,
( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
& mtvisible(c_timehasnoendmt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f1135,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(ennf_transformation,[],[f1122]) ).
fof(f1136,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(flattening,[],[f1135]) ).
fof(f1137,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(ennf_transformation,[],[f1121]) ).
fof(f1138,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(flattening,[],[f1137]) ).
fof(f1213,plain,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(cnf_transformation,[],[f1134]) ).
fof(f1214,plain,
! [X2,X0,X1] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(cnf_transformation,[],[f1136]) ).
fof(f1215,plain,
! [X2,X0,X1] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(cnf_transformation,[],[f1138]) ).
fof(f1223,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(cnf_transformation,[],[f401]) ).
fof(f1224,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(cnf_transformation,[],[f499]) ).
fof(f1242,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(cnf_transformation,[],[f215]) ).
fof(f1245,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(cnf_transformation,[],[f422]) ).
fof(f1250,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(cnf_transformation,[],[f393]) ).
fof(f1254,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(cnf_transformation,[],[f258]) ).
fof(f1258,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(cnf_transformation,[],[f489]) ).
fof(f1262,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(cnf_transformation,[],[f129]) ).
fof(f1266,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(cnf_transformation,[],[f68]) ).
fof(f1270,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(cnf_transformation,[],[f160]) ).
fof(f1277,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(cnf_transformation,[],[f387]) ).
fof(f1281,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(cnf_transformation,[],[f356]) ).
fof(f1285,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(cnf_transformation,[],[f361]) ).
fof(f1289,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(cnf_transformation,[],[f100]) ).
fof(f1293,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(cnf_transformation,[],[f70]) ).
fof(f1297,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(cnf_transformation,[],[f235]) ).
fof(f1301,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(cnf_transformation,[],[f487]) ).
fof(f1388,plain,
! [X0] :
( ~ genls(c_tptpcol_8_114177,X0)
| ~ disjointwith(X0,c_tptpcol_14_118118) ),
inference(resolution,[],[f1214,f1213]) ).
fof(f1396,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_14_118118),
inference(resolution,[],[f1388,f1223]) ).
fof(f1415,plain,
! [X0] :
( ~ genls(c_tptpcol_14_118118,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f1396,f1215]) ).
fof(f1459,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_13_118117),
inference(resolution,[],[f1415,f1224]) ).
fof(f1464,plain,
! [X0] :
( ~ genls(c_tptpcol_13_118117,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f1459,f1215]) ).
fof(f1684,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_12_118116),
inference(resolution,[],[f1464,f1245]) ).
fof(f1688,plain,
! [X0] :
( ~ genls(c_tptpcol_12_118116,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f1684,f1215]) ).
fof(f2004,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_11_118084),
inference(resolution,[],[f1688,f1254]) ).
fof(f2025,plain,
! [X0] :
( ~ genls(c_tptpcol_11_118084,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f2004,f1215]) ).
fof(f2313,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_10_118020),
inference(resolution,[],[f2025,f1262]) ).
fof(f2319,plain,
! [X0] :
( ~ genls(c_tptpcol_10_118020,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f2313,f1215]) ).
fof(f2466,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_9_118019),
inference(resolution,[],[f2319,f1270]) ).
fof(f2469,plain,
! [X0] :
( ~ genls(c_tptpcol_9_118019,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f2466,f1215]) ).
fof(f2617,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_8_117763),
inference(resolution,[],[f2469,f1277]) ).
fof(f2620,plain,
! [X0] :
( ~ genls(c_tptpcol_8_117763,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f2617,f1215]) ).
fof(f2759,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_7_117762),
inference(resolution,[],[f2620,f1281]) ).
fof(f2762,plain,
! [X0] :
( ~ genls(c_tptpcol_7_117762,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f2759,f1215]) ).
fof(f2905,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_6_116738),
inference(resolution,[],[f2762,f1285]) ).
fof(f2908,plain,
! [X0] :
( ~ genls(c_tptpcol_6_116738,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f2905,f1215]) ).
fof(f3083,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_5_114690),
inference(resolution,[],[f2908,f1289]) ).
fof(f3086,plain,
! [X0] :
( ~ genls(c_tptpcol_5_114690,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f3083,f1215]) ).
fof(f3246,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_4_114689),
inference(resolution,[],[f3086,f1293]) ).
fof(f3249,plain,
! [X0] :
( ~ genls(c_tptpcol_4_114689,X0)
| ~ disjointwith(c_tptpcol_7_113665,X0) ),
inference(resolution,[],[f3246,f1215]) ).
fof(f3400,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_3_114688),
inference(resolution,[],[f3249,f1297]) ).
fof(f3404,plain,
! [X0] :
( ~ genls(c_tptpcol_7_113665,X0)
| ~ disjointwith(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f3400,f1214]) ).
fof(f3518,plain,
~ disjointwith(c_tptpcol_6_112641,c_tptpcol_3_114688),
inference(resolution,[],[f3404,f1242]) ).
fof(f3525,plain,
! [X0] :
( ~ genls(c_tptpcol_6_112641,X0)
| ~ disjointwith(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f3518,f1214]) ).
fof(f3634,plain,
~ disjointwith(c_tptpcol_5_110593,c_tptpcol_3_114688),
inference(resolution,[],[f3525,f1250]) ).
fof(f3638,plain,
! [X0] :
( ~ genls(c_tptpcol_5_110593,X0)
| ~ disjointwith(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f3634,f1214]) ).
fof(f3729,plain,
~ disjointwith(c_tptpcol_4_106497,c_tptpcol_3_114688),
inference(resolution,[],[f3638,f1258]) ).
fof(f3736,plain,
! [X0] :
( ~ genls(c_tptpcol_4_106497,X0)
| ~ disjointwith(X0,c_tptpcol_3_114688) ),
inference(resolution,[],[f3729,f1214]) ).
fof(f3794,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(resolution,[],[f3736,f1266]) ).
fof(f3797,plain,
$false,
inference(forward_subsumption_resolution,[],[f3794,f1301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR061+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:21:21 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.69/1.02 % (1651742)Detected formulas, will run a generic FOF schedule.
% 0.69/1.02 % (1651839)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2938209490:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.69/1.02 % (1651839)First to succeed.
% 0.69/1.02 % (1651839)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1651742"
% 0.69/1.02 % (1651837)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=10565616:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.69/1.02 % (1651835)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=2962750086:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.69/1.02 % (1651830)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=4034095124:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.69/1.02 % (1651842)dis-21_1_sil=8000:lcm=predicate:random_seed=810337434: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)
% 0.69/1.02 % (1651833)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=2855960297:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.69/1.02 % (1651837)Refutation not found, incomplete strategy
% 0.69/1.02 % (1651837)------------------------------
% 0.69/1.02 % (1651837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/1.02 % (1651837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/1.02 % (1651837)CaDiCaL version: 2.1.3
% 0.69/1.02 % (1651837)Termination reason: Refutation not found, incomplete strategy
% 0.69/1.02 % (1651837)Time elapsed: 0.003 s
% 0.69/1.02 % (1651837)Peak memory usage: 88 MB
% 0.69/1.02 % (1651837)Instructions burned: 3 (million)
% 0.69/1.02 % (1651841)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1555326941:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.69/1.02 % (1651842)Instruction limit reached!
% 0.69/1.02 % (1651842)------------------------------
% 0.69/1.02 % (1651842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/1.02 % (1651842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/1.02 % (1651842)CaDiCaL version: 2.1.3
% 0.69/1.02 % (1651842)Termination reason: Instruction limit
% 0.69/1.02 % (1651842)Termination phase: Saturation
% 0.69/1.02 % (1651842)Time elapsed: 0.075 s
% 0.69/1.02 % (1651842)Peak memory usage: 90 MB
% 0.69/1.02 % (1651842)Instructions burned: 131 (million)
% 0.69/1.02 % (1651841)Instruction limit reached!
% 0.69/1.02 % (1651841)------------------------------
% 0.69/1.02 % (1651841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/1.02 % (1651841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/1.02 % (1651841)CaDiCaL version: 2.1.3
% 0.69/1.02 % (1651841)Termination reason: Instruction limit
% 0.69/1.02 % (1651841)Termination phase: Saturation
% 0.69/1.02 % (1651841)Time elapsed: 0.079 s
% 0.69/1.02 % (1651841)Peak memory usage: 90 MB
% 0.69/1.02 % (1651841)Instructions burned: 140 (million)
% 0.69/1.02 % (1651839)Refutation found. Thanks to Tanya!
% 0.69/1.02 % SZS status Theorem for theBenchmark
% 0.69/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/1.26 % (1651839)------------------------------
% 2.89/1.26 % (1651839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.26 % (1651839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.26 % (1651839)CaDiCaL version: 2.1.3
% 2.89/1.26 % (1651839)Termination reason: Refutation
% 2.89/1.26 % (1651839)Time elapsed: 0.018 s
% 2.89/1.26 % (1651839)Peak memory usage: 89 MB
% 2.89/1.26 % (1651839)Instructions burned: 55 (million)
% 2.89/1.26 % (1651839)------------------------------
% 2.89/1.26 % (1651839)------------------------------
% 2.89/1.26 % (1651742)Success in time 0.352 s
% 2.89/1.26 % Vampire exiting
%------------------------------------------------------------------------------