%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM301+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 : n016.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 3.88s 1.55s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 12 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 24 ( 22 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn2) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn3) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f283,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_neg(X2))
& rdn_translate(X1,rdn_neg(X3))
& rdn_positive_less(X3,X2) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
fof(f402,conjecture,
? [X0] : less(X0,nn2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_nn2) ).
fof(f403,negated_conjecture,
~ ? [X0] : less(X0,nn2),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f417,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_positive_less(X3,X2) ),
inference(ennf_transformation,[],[f283]) ).
fof(f418,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_positive_less(X3,X2) ),
inference(flattening,[],[f417]) ).
fof(f450,plain,
! [X0] : ~ less(X0,nn2),
inference(ennf_transformation,[],[f403]) ).
fof(f583,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f584,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f721,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f736,plain,
! [X2,X3,X0,X1] :
( ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_neg(X3))
| less(X0,X1) ),
inference(cnf_transformation,[],[f418]) ).
fof(f858,plain,
! [X0] : ~ less(X0,nn2),
inference(cnf_transformation,[],[f450]) ).
fof(f875,plain,
! [X0,X1] :
( ~ rdn_translate(X1,rdn_neg(rdnn(n2)))
| ~ rdn_translate(X0,rdn_neg(rdnn(n3)))
| less(X0,X1) ),
inference(resolution,[],[f721,f736]) ).
fof(f1363,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_neg(rdnn(n3)))
| less(X0,nn2) ),
inference(resolution,[],[f875,f583]) ).
fof(f1364,plain,
! [X0] : ~ rdn_translate(X0,rdn_neg(rdnn(n3))),
inference(forward_subsumption_resolution,[],[f1363,f858]) ).
fof(f1365,plain,
$false,
inference(resolution,[],[f1364,f584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM301+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n016.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 19:34:25 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 3.88/1.55 % (2946293)Detected formulas, will run a generic FOF schedule.
% 3.88/1.55 % (2946300)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=3777687007:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.88/1.55 % (2946303)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2109600489:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.88/1.55 % (2946302)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2736392401:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.88/1.55 % (2946301)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=537299828:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.88/1.55 % (2946299)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=117875672:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.88/1.55 % (2946304)dis-21_1_sil=8000:lcm=predicate:random_seed=2251909874: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)
% 3.88/1.55 % (2946298)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=1482087289:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.88/1.55 % (2946301)Refutation not found, incomplete strategy
% 3.88/1.55 % (2946301)------------------------------
% 3.88/1.55 % (2946301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.55 % (2946301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.55 % (2946301)CaDiCaL version: 2.1.3
% 3.88/1.55 % (2946301)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.55 % (2946301)Time elapsed: 0.002 s
% 3.88/1.55 % (2946301)Peak memory usage: 87 MB
% 3.88/1.55 % (2946301)Instructions burned: 1 (million)
% 3.88/1.55 % (2946303)First to succeed.
% 3.88/1.55 % (2946303)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2946293"
% 3.88/1.55 % (2946304)Instruction limit reached!
% 3.88/1.55 % (2946304)------------------------------
% 3.88/1.55 % (2946304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.55 % (2946304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.55 % (2946304)CaDiCaL version: 2.1.3
% 3.88/1.55 % (2946304)Termination reason: Instruction limit
% 3.88/1.55 % (2946304)Termination phase: Saturation
% 3.88/1.55 % (2946304)Time elapsed: 0.054 s
% 3.88/1.55 % (2946304)Peak memory usage: 88 MB
% 3.88/1.55 % (2946304)Instructions burned: 130 (million)
% 3.88/1.55 % (2946302)Instruction limit reached!
% 3.88/1.55 % (2946302)------------------------------
% 3.88/1.55 % (2946302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.55 % (2946302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.55 % (2946302)CaDiCaL version: 2.1.3
% 3.88/1.55 % (2946302)Termination reason: Instruction limit
% 3.88/1.55 % (2946302)Termination phase: Saturation
% 3.88/1.55 % (2946302)Time elapsed: 0.057 s
% 3.88/1.55 % (2946302)Peak memory usage: 87 MB
% 3.88/1.55 % (2946302)Instructions burned: 119 (million)
% 3.88/1.55 % (2946313)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3741368067:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.88/1.55 % (2946312)lrs+10_1_sil=8000:sp=occurrence:random_seed=573164778:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.88/1.55 % (2946313)Refutation not found, incomplete strategy
% 3.88/1.55 % (2946313)------------------------------
% 3.88/1.55 % (2946313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.55 % (2946313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.55 % (2946313)CaDiCaL version: 2.1.3
% 3.88/1.55 % (2946313)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.55 % (2946313)Time elapsed: 0.003 s
% 3.88/1.55 % (2946313)Peak memory usage: 88 MB
% 3.88/1.55 % (2946313)Instructions burned: 5 (million)
% 3.88/1.55 % (2946312)Refutation not found, incomplete strategy
% 3.88/1.55 % (2946312)------------------------------
% 3.88/1.55 % (2946312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.55 % (2946312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.55 % (2946312)CaDiCaL version: 2.1.3
% 3.88/1.55 % (2946312)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.55 % (2946312)Time elapsed: 0.013 s
% 3.88/1.55 % (2946312)Peak memory usage: 88 MB
% 3.88/1.55 % (2946312)Instructions burned: 19 (million)
% 3.88/1.55 % (2946301)------------------------------
% 3.88/1.55 % (2946301)------------------------------
% 3.88/1.55 % (2946303)Refutation found. Thanks to Tanya!
% 3.88/1.55 % SZS status Theorem for theBenchmark
% 3.88/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.55 % (2946303)------------------------------
% 3.88/1.55 % (2946303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.55 % (2946303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.55 % (2946303)CaDiCaL version: 2.1.3
% 3.88/1.55 % (2946303)Termination reason: Refutation
% 3.88/1.55 % (2946303)Time elapsed: 0.022 s
% 3.88/1.55 % (2946303)Peak memory usage: 89 MB
% 3.88/1.55 % (2946303)Instructions burned: 36 (million)
% 3.88/1.55 % (2946303)------------------------------
% 3.88/1.55 % (2946303)------------------------------
% 3.88/1.55 % (2946293)Success in time 0.464 s
% 3.88/1.55 % Vampire exiting
%------------------------------------------------------------------------------