%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW302+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:30:04 PM UTC 2026
% Result : Theorem 3.05s 1.55s
% Output : Refutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 5 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 20 ( 17 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5241,axiom,
! [X0,X1] :
( v_Q_H(X0,X1)
=> v_Q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5242,conjecture,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P(X3,X1)
=> v_Q_H(X3,X2) )
=> v_Q(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5243,negated_conjecture,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( ! [X3] :
( v_P(X3,X1)
=> v_Q_H(X3,X2) )
=> v_Q(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5242]) ).
fof(f5244,plain,
! [X0,X1] :
( v_Q(X0,X1)
| ~ v_Q_H(X0,X1) ),
inference(ennf_transformation,[],[f5241]) ).
fof(f5245,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& ! [X3] :
( v_Q_H(X3,X2)
| ~ v_P(X3,X1) ) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5243]) ).
fof(f5246,plain,
( ~ v_Q(sK0,sK2)
& ! [X3] :
( v_Q_H(X3,sK2)
| ~ v_P(X3,sK1) )
& v_P(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5245]) ).
fof(f5247,plain,
! [X0,X1] :
( ~ v_Q_H(X0,X1)
| v_Q(X0,X1) ),
inference(cnf_transformation,[],[f5244]) ).
fof(f5248,plain,
v_P(sK0,sK1),
inference(cnf_transformation,[],[f5246]) ).
fof(f5249,plain,
! [X3] :
( ~ v_P(X3,sK1)
| v_Q_H(X3,sK2) ),
inference(cnf_transformation,[],[f5246]) ).
fof(f5250,plain,
~ v_Q(sK0,sK2),
inference(cnf_transformation,[],[f5246]) ).
fof(f5251,plain,
v_Q_H(sK0,sK2),
inference(resolution,[],[f5249,f5248]) ).
fof(f5252,plain,
v_Q(sK0,sK2),
inference(resolution,[],[f5251,f5247]) ).
fof(f5253,plain,
$false,
inference(forward_subsumption_resolution,[],[f5252,f5250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW302+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n009.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 13:32:45 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 3.05/1.55 % (3029059)Detected formulas, will run a generic FOF schedule.
% 3.05/1.55 % (3029067)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2258978014:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 3.05/1.55 % (3029067)First to succeed.
% 3.05/1.55 % (3029067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3029059"
% 3.05/1.55 % (3029070)dis-21_1_sil=8000:lcm=predicate:random_seed=2099148729:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 3.05/1.55 % (3029066)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=2545757806:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 3.05/1.55 % (3029068)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4241750551:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 3.05/1.55 % (3029064)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=1986429400:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 3.05/1.55 % (3029065)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=1647631100:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 3.05/1.55 % (3029069)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2051126949:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 3.05/1.55 % (3029068)Also succeeded, but the first one will report.
% 3.05/1.55 % (3029070)Instruction limit reached!
% 3.05/1.55 % (3029070)------------------------------
% 3.05/1.55 % (3029070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.55 % (3029070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.55 % (3029070)CaDiCaL version: 2.1.3
% 3.05/1.55 % (3029070)Termination reason: Instruction limit
% 3.05/1.55 % (3029070)Termination phase: Preprocessing 3
% 3.05/1.55 % (3029070)Time elapsed: 0.084 s
% 3.05/1.55 % (3029070)Peak memory usage: 93 MB
% 3.05/1.55 % (3029070)Instructions burned: 130 (million)
% 3.05/1.55 % (3029069)Instruction limit reached!
% 3.05/1.55 % (3029069)------------------------------
% 3.05/1.55 % (3029069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.55 % (3029069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.55 % (3029069)CaDiCaL version: 2.1.3
% 3.05/1.55 % (3029069)Termination reason: Instruction limit
% 3.05/1.55 % (3029069)Termination phase: SInE selection
% 3.05/1.55 % (3029069)Time elapsed: 0.059 s
% 3.05/1.55 % (3029069)Peak memory usage: 90 MB
% 3.05/1.55 % (3029069)Instructions burned: 139 (million)
% 3.05/1.55 % (3029067)Refutation found. Thanks to Tanya!
% 3.05/1.55 % SZS status Theorem for theBenchmark
% 3.05/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 3.05/1.55 % (3029067)------------------------------
% 3.05/1.55 % (3029067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.55 % (3029067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.55 % (3029067)CaDiCaL version: 2.1.3
% 3.05/1.55 % (3029067)Termination reason: Refutation
% 3.05/1.55 % (3029067)Time elapsed: 0.015 s
% 3.05/1.55 % (3029067)Peak memory usage: 94 MB
% 3.05/1.55 % (3029067)Instructions burned: 32 (million)
% 3.05/1.55 % (3029067)------------------------------
% 3.05/1.55 % (3029067)------------------------------
% 3.05/1.55 % (3029059)Success in time 0.678 s
% 3.05/1.55 % Vampire exiting
%------------------------------------------------------------------------------