%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR073+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 : n012.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 09:42:38 AM UTC 2026
% Result : Theorem 4.15s 1.41s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 10 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f224,axiom,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_224) ).
fof(f1515,axiom,
! [X0,X1] :
( tptptypes_9_401(X0,X1)
=> tptptypes_8_400(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1515) ).
fof(f2314,axiom,
! [X0,X1] :
( tptptypes_8_400(X0,X1)
=> tptptypes_7_396(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2314) ).
fof(f3103,axiom,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
=> tptptypes_5_387(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3103) ).
fof(f3560,axiom,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
=> tptptypes_6_388(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3560) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(X0,c_pushingababycarriage) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query173) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_387(X0,c_pushingababycarriage) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8026,plain,
! [X0] :
( ~ tptptypes_5_387(X0,c_pushingababycarriage)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8034,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(ennf_transformation,[],[f3103]) ).
fof(f8040,plain,
! [X0,X1] :
( tptptypes_8_400(X1,X0)
| ~ tptptypes_9_401(X0,X1) ),
inference(ennf_transformation,[],[f1515]) ).
fof(f8049,plain,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
| ~ tptptypes_7_396(X0,X1) ),
inference(ennf_transformation,[],[f3560]) ).
fof(f8058,plain,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
| ~ tptptypes_8_400(X0,X1) ),
inference(ennf_transformation,[],[f2314]) ).
fof(f8065,plain,
! [X0] : ~ tptptypes_5_387(X0,c_pushingababycarriage),
inference(cnf_transformation,[],[f8026]) ).
fof(f8073,plain,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
inference(cnf_transformation,[],[f224]) ).
fof(f8074,plain,
! [X0,X1] :
( tptptypes_5_387(X0,X1)
| ~ tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f8034]) ).
fof(f8082,plain,
! [X0,X1] :
( tptptypes_8_400(X1,X0)
| ~ tptptypes_9_401(X0,X1) ),
inference(cnf_transformation,[],[f8040]) ).
fof(f8095,plain,
! [X0,X1] :
( ~ tptptypes_7_396(X0,X1)
| tptptypes_6_388(X0,X1) ),
inference(cnf_transformation,[],[f8049]) ).
fof(f8111,plain,
! [X0,X1] :
( tptptypes_7_396(X0,X1)
| ~ tptptypes_8_400(X0,X1) ),
inference(cnf_transformation,[],[f8058]) ).
fof(f8173,plain,
! [X0] : ~ tptptypes_6_388(X0,c_pushingababycarriage),
inference(resolution,[],[f8074,f8065]) ).
fof(f8175,plain,
! [X0,X1] :
( ~ tptptypes_8_400(X0,X1)
| tptptypes_6_388(X0,X1) ),
inference(resolution,[],[f8111,f8095]) ).
fof(f8182,plain,
! [X0,X1] :
( tptptypes_6_388(X0,X1)
| ~ tptptypes_9_401(X1,X0) ),
inference(resolution,[],[f8175,f8082]) ).
fof(f8327,plain,
! [X0] : ~ tptptypes_9_401(c_pushingababycarriage,X0),
inference(resolution,[],[f8182,f8173]) ).
fof(f8438,plain,
$false,
inference(resolution,[],[f8327,f8073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR073+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n012.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 22:24:49 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 4.15/1.41 % (3862848)Detected formulas, will run a generic FOF schedule.
% 4.15/1.41 % (3862858)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2025892886:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.15/1.41 % (3862856)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4290793483:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.15/1.41 % (3862854)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=620658022:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.15/1.41 % (3862853)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=3358260988:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.15/1.41 % (3862855)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=3953085537:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.15/1.41 % (3862857)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2781987508:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.15/1.41 % (3862856)Refutation not found, incomplete strategy
% 4.15/1.41 % (3862856)------------------------------
% 4.15/1.41 % (3862856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.41 % (3862856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.41 % (3862856)CaDiCaL version: 2.1.3
% 4.15/1.41 % (3862856)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.41 % (3862856)Time elapsed: 0.014 s
% 4.15/1.41 % (3862856)Peak memory usage: 92 MB
% 4.15/1.41 % (3862856)Instructions burned: 23 (million)
% 4.15/1.41 % (3862859)dis-21_1_sil=8000:lcm=predicate:random_seed=661778396: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)
% 4.15/1.41 % (3862857)Instruction limit reached!
% 4.15/1.41 % (3862857)------------------------------
% 4.15/1.41 % (3862857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.41 % (3862857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.41 % (3862857)CaDiCaL version: 2.1.3
% 4.15/1.41 % (3862857)Termination reason: Instruction limit
% 4.15/1.41 % (3862857)Termination phase: Saturation
% 4.15/1.41 % (3862857)Time elapsed: 0.044 s
% 4.15/1.41 % (3862857)Peak memory usage: 93 MB
% 4.15/1.41 % (3862857)Instructions burned: 122 (million)
% 4.15/1.41 % (3862859)First to succeed.
% 4.15/1.41 % (3862859)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3862848"
% 4.15/1.41 % (3862858)Instruction limit reached!
% 4.15/1.41 % (3862858)------------------------------
% 4.15/1.41 % (3862858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.41 % (3862858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.41 % (3862858)CaDiCaL version: 2.1.3
% 4.15/1.41 % (3862858)Termination reason: Instruction limit
% 4.15/1.41 % (3862858)Termination phase: Property scanning
% 4.15/1.41 % (3862858)Time elapsed: 0.076 s
% 4.15/1.41 % (3862858)Peak memory usage: 93 MB
% 4.15/1.41 % (3862858)Instructions burned: 139 (million)
% 4.15/1.41 % (3862867)lrs+10_1_sil=8000:sp=occurrence:random_seed=2156474582:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.15/1.41 % (3862868)lrs+10_1_sil=32000:urr=on:br=off:random_seed=893760875:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.15/1.41 % (3862867)Also succeeded, but the first one will report.
% 4.15/1.41 % (3862856)------------------------------
% 4.15/1.41 % (3862856)------------------------------
% 4.15/1.41 % (3862868)Refutation not found, incomplete strategy
% 4.15/1.41 % (3862868)------------------------------
% 4.15/1.41 % (3862868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.41 % (3862868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.41 % (3862868)CaDiCaL version: 2.1.3
% 4.15/1.41 % (3862868)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.41 % (3862868)Time elapsed: 0.031 s
% 4.15/1.41 % (3862868)Peak memory usage: 94 MB
% 4.15/1.41 % (3862868)Instructions burned: 57 (million)
% 4.15/1.41 % (3862859)Refutation found. Thanks to Tanya!
% 4.15/1.41 % SZS status Theorem for theBenchmark
% 4.15/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.41 % (3862859)------------------------------
% 4.15/1.41 % (3862859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.41 % (3862859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.41 % (3862859)CaDiCaL version: 2.1.3
% 4.15/1.41 % (3862859)Termination reason: Refutation
% 4.15/1.41 % (3862859)Time elapsed: 0.027 s
% 4.15/1.41 % (3862859)Peak memory usage: 94 MB
% 4.15/1.41 % (3862859)Instructions burned: 42 (million)
% 4.15/1.41 % (3862859)------------------------------
% 4.15/1.41 % (3862859)------------------------------
% 4.15/1.41 % (3862848)Success in time 0.63 s
% 4.15/1.41 % Vampire exiting
%------------------------------------------------------------------------------