%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:28:00 PM UTC 2026
% Result : Theorem 3.77s 1.27s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 157 ( 63 ~; 51 |; 36 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 47 ( 32 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
( ! [X0] :
( k04_buttercup10100(X0)
=> b48_buttercup10098(X0) )
& ? [X1] :
( b48_buttercup10098(X1)
& ~ k04_buttercup10100(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f86,conjecture,
( ( ! [X0] :
( b48_buttercup10098(X0)
=> k04_buttercup10100(X0) )
& ? [X1] :
( k04_buttercup10100(X1)
& ~ b48_buttercup10098(X1) ) )
| ( ! [X2] :
( k04_buttercup10100(X2)
=> b48_buttercup10098(X2) )
& ? [X3] :
( b48_buttercup10098(X3)
& ~ k04_buttercup10100(X3) ) )
| ? [X4,X5,X6] :
( k04_buttercup10100(X4)
& b48_buttercup10098(X4)
& k04_buttercup10100(X5)
& ~ b48_buttercup10098(X5)
& ~ k04_buttercup10100(X6)
& b48_buttercup10098(X6) )
| ! [X7] :
( k04_buttercup10100(X7)
=> ~ b48_buttercup10098(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).
fof(f87,negated_conjecture,
~ ( ( ! [X0] :
( b48_buttercup10098(X0)
=> k04_buttercup10100(X0) )
& ? [X1] :
( k04_buttercup10100(X1)
& ~ b48_buttercup10098(X1) ) )
| ( ! [X2] :
( k04_buttercup10100(X2)
=> b48_buttercup10098(X2) )
& ? [X3] :
( b48_buttercup10098(X3)
& ~ k04_buttercup10100(X3) ) )
| ? [X4,X5,X6] :
( k04_buttercup10100(X4)
& b48_buttercup10098(X4)
& k04_buttercup10100(X5)
& ~ b48_buttercup10098(X5)
& ~ k04_buttercup10100(X6)
& b48_buttercup10098(X6) )
| ! [X7] :
( k04_buttercup10100(X7)
=> ~ b48_buttercup10098(X7) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f88,plain,
( ( ? [X0] :
( ~ k04_buttercup10100(X0)
& b48_buttercup10098(X0) )
| ! [X1] :
( ~ k04_buttercup10100(X1)
| b48_buttercup10098(X1) ) )
& ( ? [X2] :
( ~ b48_buttercup10098(X2)
& k04_buttercup10100(X2) )
| ! [X3] :
( ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ) )
& ! [X4,X5,X6] :
( ~ k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4)
| ~ k04_buttercup10100(X5)
| b48_buttercup10098(X5)
| k04_buttercup10100(X6)
| ~ b48_buttercup10098(X6) )
& ? [X7] :
( b48_buttercup10098(X7)
& k04_buttercup10100(X7) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f91,plain,
( ! [X0] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) )
& ? [X1] :
( b48_buttercup10098(X1)
& ~ k04_buttercup10100(X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f163,plain,
( ( ( ~ k04_buttercup10100(sK10)
& b48_buttercup10098(sK10) )
| ! [X1] :
( ~ k04_buttercup10100(X1)
| b48_buttercup10098(X1) ) )
& ( ( ~ b48_buttercup10098(sK11)
& k04_buttercup10100(sK11) )
| ! [X3] :
( ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ) )
& ! [X4,X5,X6] :
( ~ k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4)
| ~ k04_buttercup10100(X5)
| b48_buttercup10098(X5)
| k04_buttercup10100(X6)
| ~ b48_buttercup10098(X6) )
& b48_buttercup10098(sK12)
& k04_buttercup10100(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X0,sK10),skolemize(X2,sK11),skolemize(X7,sK12)],[f88]) ).
fof(f165,plain,
( ! [X0] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) )
& b48_buttercup10098(sK14)
& ~ k04_buttercup10100(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14)],[f91]) ).
fof(f211,plain,
k04_buttercup10100(sK12),
inference(cnf_transformation,[],[f163]) ).
fof(f212,plain,
b48_buttercup10098(sK12),
inference(cnf_transformation,[],[f163]) ).
fof(f213,plain,
! [X6,X4,X5] :
( k04_buttercup10100(X6)
| ~ b48_buttercup10098(X4)
| ~ k04_buttercup10100(X5)
| b48_buttercup10098(X5)
| ~ k04_buttercup10100(X4)
| ~ b48_buttercup10098(X6) ),
inference(cnf_transformation,[],[f163]) ).
fof(f214,plain,
! [X3] :
( k04_buttercup10100(sK11)
| ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f215,plain,
! [X3] :
( k04_buttercup10100(X3)
| ~ b48_buttercup10098(X3)
| ~ b48_buttercup10098(sK11) ),
inference(cnf_transformation,[],[f163]) ).
fof(f220,plain,
~ k04_buttercup10100(sK14),
inference(cnf_transformation,[],[f165]) ).
fof(f221,plain,
b48_buttercup10098(sK14),
inference(cnf_transformation,[],[f165]) ).
fof(f346,plain,
! [X0,X1] :
( b48_buttercup10098(X1)
| ~ k04_buttercup10100(X1)
| ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0)
| ~ b48_buttercup10098(sK14) ),
inference(resolution,[],[f220,f213]) ).
fof(f347,plain,
( ~ b48_buttercup10098(sK14)
| ~ b48_buttercup10098(sK11) ),
inference(resolution,[],[f220,f215]) ).
fof(f350,plain,
~ b48_buttercup10098(sK11),
inference(resolution,[],[f221,f347]) ).
fof(f351,plain,
! [X0] :
( ~ k04_buttercup10100(sK11)
| ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0)
| ~ b48_buttercup10098(sK14) ),
inference(resolution,[],[f350,f346]) ).
fof(f353,plain,
! [X0] :
( ~ k04_buttercup10100(sK11)
| ~ b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ),
inference(forward_subsumption_resolution,[],[f351,f221]) ).
fof(f358,plain,
! [X0,X1] :
( k04_buttercup10100(X1)
| ~ k04_buttercup10100(X0)
| ~ b48_buttercup10098(X1)
| ~ b48_buttercup10098(X0) ),
inference(resolution,[],[f353,f214]) ).
fof(f372,plain,
! [X0] :
( ~ k04_buttercup10100(X0)
| ~ b48_buttercup10098(sK14)
| ~ b48_buttercup10098(X0) ),
inference(resolution,[],[f358,f220]) ).
fof(f376,plain,
! [X0] :
( ~ k04_buttercup10100(X0)
| ~ b48_buttercup10098(X0) ),
inference(forward_subsumption_resolution,[],[f372,f221]) ).
fof(f382,plain,
~ b48_buttercup10098(sK12),
inference(resolution,[],[f376,f211]) ).
fof(f389,plain,
$false,
inference(forward_subsumption_resolution,[],[f382,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n008.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 17:49:39 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.77/1.27 % (2471723)Detected formulas, will run a generic FOF schedule.
% 3.77/1.27 % (2471774)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=1657237799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.77/1.27 % (2471779)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1271132097:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.77/1.27 % (2471772)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=4143010075:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.77/1.27 % (2471782)dis-21_1_sil=8000:lcm=predicate:random_seed=1765198306: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)
% 3.77/1.27 % (2471780)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=568118099:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.77/1.27 % (2471775)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=2669301383:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.77/1.27 % (2471777)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3911804961:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.77/1.27 % (2471779)First to succeed.
% 3.77/1.27 % (2471779)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2471723"
% 3.77/1.27 % (2471780)Also succeeded, but the first one will report.
% 3.77/1.27 % (2471777)Also succeeded, but the first one will report.
% 3.77/1.27 % (2471782)Also succeeded, but the first one will report.
% 3.77/1.27 % (2471779)Refutation found. Thanks to Tanya!
% 3.77/1.27 % SZS status Theorem for theBenchmark
% 3.77/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.27 % (2471779)------------------------------
% 3.77/1.27 % (2471779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.27 % (2471779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.27 % (2471779)CaDiCaL version: 2.1.3
% 3.77/1.27 % (2471779)Termination reason: Refutation
% 3.77/1.27 % (2471779)Time elapsed: 0.003 s
% 3.77/1.27 % (2471779)Peak memory usage: 88 MB
% 3.77/1.27 % (2471779)Instructions burned: 4 (million)
% 3.77/1.27 % (2471779)------------------------------
% 3.77/1.27 % (2471779)------------------------------
% 3.77/1.27 % (2471723)Success in time 0.469 s
% 3.77/1.27 % Vampire exiting
%------------------------------------------------------------------------------