%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC286+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:03:17 PM UTC 2026
% Result : Theorem 3.78s 1.32s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 87 ( 31 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 100 ( 32 ~; 31 |; 30 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 15 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| strictorderedP(X0)
| ( ! [X4] :
( ~ ssItem(X4)
| cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| strictorderedP(X0)
| ( ! [X4] :
( ~ ssItem(X4)
| cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ~ strictorderedP(X0)
& ( ? [X4] :
( ssItem(X4)
& cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X4,X5) ) )
| ( nil = X3
& nil = X2 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f116,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f147,plain,
( ssList(sK3)
& sK1 = sK3
& sK0 = sK2
& ~ strictorderedP(sK0)
& ( ( ssItem(sK4)
& sK2 = cons(sK4,nil)
& memberP(sK3,sK4)
& ! [X5] :
( ~ ssItem(X5)
| sK4 = X5
| ~ memberP(sK3,X5)
| ~ leq(sK4,X5) ) )
| ( nil = sK3
& nil = sK2 ) )
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f98]) ).
fof(f174,plain,
( sK2 = cons(sK4,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f147]) ).
fof(f176,plain,
( nil = sK2
| ssItem(sK4) ),
inference(cnf_transformation,[],[f147]) ).
fof(f178,plain,
~ strictorderedP(sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f179,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f147]) ).
fof(f213,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f214,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f247,plain,
~ strictorderedP(sK2),
inference(definition_unfolding,[],[f178,f179]) ).
fof(f284,plain,
( strictorderedP(sK2)
| ~ ssItem(sK4)
| nil = sK2 ),
inference(superposition,[],[f214,f174]) ).
fof(f285,plain,
( strictorderedP(sK2)
| nil = sK2 ),
inference(forward_subsumption_resolution,[],[f284,f176]) ).
fof(f287,plain,
nil = sK2,
inference(forward_subsumption_resolution,[],[f285,f247]) ).
fof(f294,plain,
strictorderedP(sK2),
inference(superposition,[],[f213,f287]) ).
fof(f296,plain,
$false,
inference(forward_subsumption_resolution,[],[f294,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC286+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:59:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.78/1.32 % (228531)Detected formulas, will run a generic FOF schedule.
% 3.78/1.32 % (228542)dis-21_1_sil=8000:lcm=predicate:random_seed=2071380461: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)
% 3.78/1.32 % (228542)Instruction limit reached!
% 3.78/1.32 % (228542)------------------------------
% 3.78/1.32 % (228542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.32 % (228542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.32 % (228542)CaDiCaL version: 2.1.3
% 3.78/1.32 % (228542)Termination reason: Instruction limit
% 3.78/1.32 % (228542)Termination phase: Saturation
% 3.78/1.32 % (228542)Time elapsed: 0.039 s
% 3.78/1.32 % (228542)Peak memory usage: 91 MB
% 3.78/1.32 % (228542)Instructions burned: 130 (million)
% 3.78/1.32 % (228536)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=517660112:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.78/1.32 % (228537)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=419660061:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.78/1.32 % (228538)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=1284790440:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.78/1.32 % (228541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=700687682:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.78/1.32 % (228540)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2558458565:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.78/1.32 % (228539)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=660439883:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.78/1.32 % (228540)First to succeed.
% 3.78/1.32 % (228540)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-228531"
% 3.78/1.32 % (228539)Also succeeded, but the first one will report.
% 3.78/1.32 % (228541)Also succeeded, but the first one will report.
% 3.78/1.32 % (228550)lrs+10_1_sil=8000:sp=occurrence:random_seed=1707714384:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.78/1.32 % (228550)Also succeeded, but the first one will report.
% 3.78/1.32 % (228540)Refutation found. Thanks to Tanya!
% 3.78/1.32 % SZS status Theorem for theBenchmark
% 3.78/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.32 % (228540)------------------------------
% 3.78/1.32 % (228540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.32 % (228540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.32 % (228540)CaDiCaL version: 2.1.3
% 3.78/1.32 % (228540)Termination reason: Refutation
% 3.78/1.32 % (228540)Time elapsed: 0.004 s
% 3.78/1.32 % (228540)Peak memory usage: 88 MB
% 3.78/1.32 % (228540)Instructions burned: 4 (million)
% 3.78/1.32 % (228540)------------------------------
% 3.78/1.32 % (228540)------------------------------
% 3.78/1.32 % (228531)Success in time 0.436 s
% 3.78/1.32 % Vampire exiting
%------------------------------------------------------------------------------