%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:56:57 AM UTC 2026
% Result : Theorem 2.66s 1.35s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 58 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 19 ~; 15 |; 4 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 47 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f7,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f9,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f10,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f14,axiom,
! [X0] : h(X0) = '==>'(h(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f15,conjecture,
! [X0] :
( h(X0) = X0
=> X0 = '0' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( h(X0) = X0
=> X0 = '0' ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
? [X0] :
( '0' != X0
& h(X0) = X0 ),
inference(ennf_transformation,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f18]) ).
fof(f22,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f25,plain,
( '0' != sK0
& sK0 = h(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f27,plain,
sK0 = h(sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
'0' != sK0,
inference(cnf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0] : h(X0) = '==>'(h(X0),X0),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
! [X2,X0,X1] :
( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
sK0 = '==>'(sK0,sK0),
inference(superposition,[],[f32,f27]) ).
fof(f44,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f36,f31]) ).
fof(f64,plain,
! [X0,X1] :
( '>='('+'(X1,X0),X0)
| ~ '>='(X1,'0') ),
inference(superposition,[],[f35,f44]) ).
fof(f65,plain,
! [X0,X1] : '>='('+'(X1,X0),X0),
inference(forward_subsumption_resolution,[],[f64,f30]) ).
fof(f93,plain,
! [X0] :
( ~ '>='('+'(sK0,X0),sK0)
| '>='(X0,sK0) ),
inference(superposition,[],[f41,f43]) ).
fof(f108,plain,
! [X0] :
( ~ '>='('+'(X0,sK0),sK0)
| '>='(X0,sK0) ),
inference(superposition,[],[f93,f36]) ).
fof(f109,plain,
! [X0] : '>='(X0,sK0),
inference(forward_subsumption_resolution,[],[f108,f65]) ).
fof(f113,plain,
! [X0] :
( ~ '>='(sK0,X0)
| sK0 = X0 ),
inference(resolution,[],[f109,f29]) ).
fof(f160,plain,
'0' = sK0,
inference(resolution,[],[f113,f30]) ).
fof(f163,plain,
$false,
inference(forward_subsumption_resolution,[],[f160,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL893+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:00:20 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.66/1.35 % (2798352)Detected formulas, will run a generic FOF schedule.
% 2.66/1.35 % (2798361)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2379554066:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.35 % (2798361)First to succeed.
% 2.66/1.35 % (2798361)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2798352"
% 2.66/1.35 % (2798358)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=3587659186:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.35 % (2798363)dis-21_1_sil=8000:lcm=predicate:random_seed=1680956223: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)
% 2.66/1.35 % (2798360)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2016550480:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.35 % (2798359)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=283473256:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.35 % (2798357)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=2543531084:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.35 % (2798362)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3339120296:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.35 % (2798360)Refutation not found, incomplete strategy
% 2.66/1.35 % (2798360)------------------------------
% 2.66/1.35 % (2798360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (2798360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (2798360)CaDiCaL version: 2.1.3
% 2.66/1.35 % (2798360)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.35 % (2798360)Time elapsed: 0.001 s
% 2.66/1.35 % (2798360)Peak memory usage: 88 MB
% 2.66/1.35 % (2798362)Also succeeded, but the first one will report.
% 2.66/1.35 % (2798363)Instruction limit reached!
% 2.66/1.35 % (2798363)------------------------------
% 2.66/1.35 % (2798363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (2798363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (2798363)CaDiCaL version: 2.1.3
% 2.66/1.35 % (2798363)Termination reason: Instruction limit
% 2.66/1.35 % (2798363)Termination phase: Saturation
% 2.66/1.35 % (2798363)Time elapsed: 0.082 s
% 2.66/1.35 % (2798363)Peak memory usage: 89 MB
% 2.66/1.35 % (2798363)Instructions burned: 130 (million)
% 2.66/1.35 % (2798361)Refutation found. Thanks to Tanya!
% 2.66/1.35 % SZS status Theorem for theBenchmark
% 2.66/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.35 % (2798361)------------------------------
% 2.66/1.35 % (2798361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.35 % (2798361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.35 % (2798361)CaDiCaL version: 2.1.3
% 2.66/1.35 % (2798361)Termination reason: Refutation
% 2.66/1.35 % (2798361)Time elapsed: 0.003 s
% 2.66/1.35 % (2798361)Peak memory usage: 88 MB
% 2.66/1.35 % (2798361)Instructions burned: 5 (million)
% 2.66/1.35 % (2798361)------------------------------
% 2.66/1.35 % (2798361)------------------------------
% 2.66/1.35 % (2798352)Success in time 0.289 s
% 2.66/1.35 % Vampire exiting
%------------------------------------------------------------------------------