%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR023+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:44:21 AM UTC 2026
% Result : Theorem 0.37s 0.30s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 73 ( 27 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 76 ( 34 ~; 28 |; 11 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& initiates(X0,X2,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(f13,axiom,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = push
& X1 = forwards
& ~ happens(pull,X2) )
| ( X0 = pull
& X1 = backwards
& ~ happens(push,X2) )
| ( X0 = pull
& X1 = spinning
& happens(push,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',initiates_all_defn) ).
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = push
& X1 = n0 )
| ( X0 = pull
& X1 = n1 )
| ( X0 = pull
& X1 = n2 )
| ( X0 = push
& X1 = n2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).
fof(f26,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
fof(f31,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f48,conjecture,
holdsAt(spinning,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spinning_3) ).
fof(f49,negated_conjecture,
~ holdsAt(spinning,n3),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
~ holdsAt(spinning,n3),
inference(flattening,[],[f49]) ).
fof(f65,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(flattening,[],[f65]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ happens(push,X2)
| spinning != X1
| pull != X0
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f146,plain,
! [X0,X1] :
( n2 != X1
| pull != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f147,plain,
! [X0,X1] :
( n2 != X1
| push != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f158,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f26]) ).
fof(f163,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f193,plain,
~ holdsAt(spinning,n3),
inference(cnf_transformation,[],[f50]) ).
fof(f194,plain,
! [X2,X0] :
( ~ happens(push,X2)
| pull != X0
| initiates(X0,spinning,X2) ),
inference(equality_resolution,[],[f100]) ).
fof(f195,plain,
! [X2] :
( initiates(pull,spinning,X2)
| ~ happens(push,X2) ),
inference(equality_resolution,[],[f194]) ).
fof(f212,plain,
! [X0] :
( push != X0
| happens(X0,n2) ),
inference(equality_resolution,[],[f147]) ).
fof(f213,plain,
happens(push,n2),
inference(equality_resolution,[],[f212]) ).
fof(f214,plain,
! [X0] :
( pull != X0
| happens(X0,n2) ),
inference(equality_resolution,[],[f146]) ).
fof(f215,plain,
happens(pull,n2),
inference(equality_resolution,[],[f214]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f319,plain,
holdsAt(spinning,n3),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f507,plain,
! [X0] :
( ~ happens(pull,X0)
| ~ holdsAt(spinning,plus(X0,n1))
| ~ happens(push,X0) ),
inference(resolution,[],[f230,f195]) ).
fof(f1125,plain,
( ~ holdsAt(spinning,plus(n2,n1))
| ~ happens(push,n2) ),
inference(resolution,[],[f507,f215]) ).
fof(f1126,plain,
~ holdsAt(spinning,plus(n2,n1)),
inference(forward_subsumption_resolution,[],[f1125,f213]) ).
fof(f1127,plain,
~ holdsAt(spinning,plus(n1,n2)),
inference(forward_demodulation,[],[f1126,f163]) ).
fof(f1128,plain,
~ holdsAt(spinning,n3),
inference(forward_demodulation,[],[f1127,f158]) ).
fof(f1129,plain,
$false,
inference(forward_subsumption_resolution,[],[f1128,f319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR023+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.18 % Computer : n019.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 22:06:03 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.22 Running first-order model finding
% 0.12/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.30 % (327468)Will run a generic schedule for satisfiability detection.
% 0.37/0.30 % (327473)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3517697069_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.30 % (327474)% WARNING: option uhcvi not known.
% 0.37/0.30 % (327478)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=811137133:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.30 % (327475)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=888829988:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.30 % (327476)dis+10_1_sil=32000:sp=arity:random_seed=1954543060:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.30 % (327477)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=507367226:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.30 % (327479)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=129609028:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.30 % (327474)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2410659340:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.30 % Detected minimum model sizes of [3]
% 0.37/0.30 % Detected maximum model sizes of [max]
% 0.37/0.30 % TRYING [3]
% 0.37/0.30 % TRYING [4]
% 0.37/0.30 % TRYING [5]
% 0.37/0.30 % TRYING [6]
% 0.37/0.30 % (327474) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-327468-327474"...
% 0.37/0.30 % (327474)...printing done.
% 0.37/0.30 % (327474)Refutation found. Thanks to Tanya!
% 0.37/0.30 % SZS status Theorem for theBenchmark
% 0.37/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.30 % (327474)------------------------------
% 0.37/0.30 % (327474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.30 % (327474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.30 % (327474)CaDiCaL version: 2.1.3
% 0.37/0.30 % (327474)Termination reason: Refutation
% 0.37/0.30 % (327474)Time elapsed: 0.028 s
% 0.37/0.30 % (327474)Peak memory usage: 12 MB
% 0.37/0.30 % (327474)Instructions burned: 29 (million)
% 0.37/0.30 % (327468)Success in time 0.076 s
% 0.37/0.30 % Vampire exiting
%------------------------------------------------------------------------------