%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM304+1 : TPTP v9.3.1. Released v3.1.0.
% 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 12:12:07 PM UTC 2026
% Result : Theorem 2.76s 6.40s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 48 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 24 ~; 17 |; 6 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 42 ( 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f282,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_neg(X2))
& rdn_translate(X1,rdn_pos(X3)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f402,conjecture,
? [X0] : X0 != n12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_not_n12) ).
fof(f403,negated_conjecture,
~ ? [X0] : X0 != n12,
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f282]) ).
fof(f416,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(flattening,[],[f415]) ).
fof(f450,plain,
! [X0] : n12 = X0,
inference(ennf_transformation,[],[f403]) ).
fof(f451,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f452,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f451]) ).
fof(f455,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f2]) ).
fof(f735,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f416]) ).
fof(f737,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f452]) ).
fof(f858,plain,
! [X0] : n12 = X0,
inference(cnf_transformation,[],[f450]) ).
fof(f859,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f737]) ).
fof(f860,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f858,f858]) ).
fof(f872,plain,
rdn_translate(n1,n12),
inference(forward_demodulation,[],[f455,f858]) ).
fof(f873,plain,
! [X0] : rdn_translate(X0,n12),
inference(superposition,[],[f872,f860]) ).
fof(f899,plain,
! [X3,X0,X1] :
( ~ rdn_translate(X0,n12)
| less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(forward_demodulation,[],[f735,f858]) ).
fof(f900,plain,
! [X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(forward_subsumption_resolution,[],[f899,f873]) ).
fof(f901,plain,
! [X0,X1] :
( ~ rdn_translate(X1,n12)
| less(X0,X1) ),
inference(forward_demodulation,[],[f900,f858]) ).
fof(f902,plain,
! [X0,X1] : less(X0,X1),
inference(forward_subsumption_resolution,[],[f901,f873]) ).
fof(f903,plain,
$false,
inference(resolution,[],[f902,f859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM304+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.39 % Computer : n008.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Sun Sep 27 19:30:47 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.43 Running first-order theorem proving
% 0.13/5.43 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
% 2.76/6.40 % (1545290)Detected formulas, will run a generic FOF schedule.
% 2.76/6.40 % (1545300)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1633578077:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.76/6.40 % (1545300)First to succeed.
% 2.76/6.40 % (1545300)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1545290"
% 2.76/6.40 % (1545298)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2819120546:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.76/6.40 % (1545297)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=793076392:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.76/6.40 % (1545301)dis-21_1_sil=8000:lcm=predicate:random_seed=73232733: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)
% 2.76/6.40 % (1545296)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=604693892:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.76/6.40 % (1545295)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=455560577:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.76/6.40 % (1545299)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3657102465:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.76/6.40 % (1545298)Refutation not found, incomplete strategy
% 2.76/6.40 % (1545298)------------------------------
% 2.76/6.40 % (1545298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/6.40 % (1545298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/6.40 % (1545298)CaDiCaL version: 2.1.3
% 2.76/6.40 % (1545298)Termination reason: Refutation not found, incomplete strategy
% 2.76/6.40 % (1545298)Time elapsed: 0.003 s
% 2.76/6.40 % (1545298)Peak memory usage: 88 MB
% 2.76/6.40 % (1545298)Instructions burned: 1 (million)
% 2.76/6.40 % (1545299)Also succeeded, but the first one will report.
% 2.76/6.40 % (1545301)Instruction limit reached!
% 2.76/6.40 % (1545301)------------------------------
% 2.76/6.40 % (1545301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/6.40 % (1545301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/6.40 % (1545301)CaDiCaL version: 2.1.3
% 2.76/6.40 % (1545301)Termination reason: Instruction limit
% 2.76/6.40 % (1545301)Termination phase: Saturation
% 2.76/6.40 % (1545301)Time elapsed: 0.069 s
% 2.76/6.40 % (1545301)Peak memory usage: 89 MB
% 2.76/6.40 % (1545301)Instructions burned: 129 (million)
% 2.76/6.40 % (1545300)Refutation found. Thanks to Tanya!
% 2.76/6.40 % SZS status Theorem for theBenchmark
% 2.76/6.40 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/6.40 % (1545300)------------------------------
% 2.76/6.40 % (1545300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/6.40 % (1545300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/6.40 % (1545300)CaDiCaL version: 2.1.3
% 2.76/6.40 % (1545300)Termination reason: Refutation
% 2.76/6.40 % (1545300)Time elapsed: 0.006 s
% 2.76/6.40 % (1545300)Peak memory usage: 89 MB
% 2.76/6.40 % (1545300)Instructions burned: 20 (million)
% 2.76/6.40 % (1545300)------------------------------
% 2.76/6.40 % (1545300)------------------------------
% 2.76/6.40 % (1545290)Success in time 0.326 s
% 2.76/6.40 % Vampire exiting
%------------------------------------------------------------------------------