%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:09:03 PM UTC 2026
% Result : Theorem 3.62s 1.19s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 27 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 2 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f29,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> X2 = bad ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f30,axiom,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f42,conjecture,
! [X0,X1,X2,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l13_co) ).
fof(f43,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f46,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f47,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f46]) ).
fof(f69,plain,
! [X0,X1,X2] :
( X2 = bad
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f82,plain,
? [X0,X1,X2,X3] :
( ok(insert_cpq(triple(X0,X1,X2),X3))
& ~ ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f89,plain,
( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
& ~ ok(triple(sK0,sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f82]) ).
fof(f124,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f47]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f126,plain,
! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[],[f30]) ).
fof(f138,plain,
~ ok(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
ok(insert_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f89]) ).
fof(f143,plain,
bad = sK2,
inference(resolution,[],[f125,f138]) ).
fof(f145,plain,
ok(insert_cpq(triple(sK0,sK1,bad),sK3)),
inference(superposition,[],[f139,f143]) ).
fof(f151,plain,
! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X1,bad),X2)),
inference(superposition,[],[f124,f126]) ).
fof(f162,plain,
$false,
inference(resolution,[],[f151,f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n006.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 10:45:25 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 3.62/1.19 % (3882636)Detected formulas, will run a generic FOF schedule.
% 3.62/1.19 % (3882643)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=1030800008:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.62/1.19 % (3882642)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=2460250308:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.62/1.19 % (3882641)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=1619670681:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.62/1.19 % (3882646)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3056729646:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.62/1.19 % (3882645)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3330224161:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.62/1.19 % (3882644)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3868504574:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.62/1.19 % (3882647)dis-21_1_sil=8000:lcm=predicate:random_seed=3568510209: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)
% 3.62/1.19 % (3882644)Refutation not found, incomplete strategy
% 3.62/1.19 % (3882644)------------------------------
% 3.62/1.19 % (3882644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.19 % (3882644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.19 % (3882644)CaDiCaL version: 2.1.3
% 3.62/1.19 % (3882644)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.19 % (3882644)Time elapsed: 0.001 s
% 3.62/1.19 % (3882644)Peak memory usage: 88 MB
% 3.62/1.19 % (3882645)Refutation not found, incomplete strategy
% 3.62/1.19 % (3882645)------------------------------
% 3.62/1.19 % (3882645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.19 % (3882645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.19 % (3882645)CaDiCaL version: 2.1.3
% 3.62/1.19 % (3882645)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.19 % (3882645)Time elapsed: 0.002 s
% 3.62/1.19 % (3882645)Peak memory usage: 88 MB
% 3.62/1.19 % (3882645)Instructions burned: 1 (million)
% 3.62/1.19 % (3882647)Refutation not found, incomplete strategy
% 3.62/1.19 % (3882647)------------------------------
% 3.62/1.19 % (3882647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.19 % (3882647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.19 % (3882647)CaDiCaL version: 2.1.3
% 3.62/1.19 % (3882647)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.19 % (3882647)Time elapsed: 0.003 s
% 3.62/1.19 % (3882647)Peak memory usage: 88 MB
% 3.62/1.19 % (3882647)Instructions burned: 3 (million)
% 3.62/1.19 % (3882646)First to succeed.
% 3.62/1.19 % (3882646)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3882636"
% 3.62/1.19 % (3882645)------------------------------
% 3.62/1.19 % (3882645)------------------------------
% 3.62/1.19 % (3882644)------------------------------
% 3.62/1.19 % (3882644)------------------------------
% 3.62/1.19 % (3882647)------------------------------
% 3.62/1.19 % (3882647)------------------------------
% 3.62/1.19 % (3882646)Refutation found. Thanks to Tanya!
% 3.62/1.19 % SZS status Theorem for theBenchmark
% 3.62/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.19 % (3882646)------------------------------
% 3.62/1.19 % (3882646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.19 % (3882646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.19 % (3882646)CaDiCaL version: 2.1.3
% 3.62/1.19 % (3882646)Termination reason: Refutation
% 3.62/1.19 % (3882646)Time elapsed: 0.005 s
% 3.62/1.19 % (3882646)Peak memory usage: 89 MB
% 3.62/1.19 % (3882646)Instructions burned: 5 (million)
% 3.62/1.19 % (3882646)------------------------------
% 3.62/1.19 % (3882646)------------------------------
% 3.62/1.19 % (3882636)Success in time 0.44 s
% 3.62/1.19 % Vampire exiting
%------------------------------------------------------------------------------