%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n009.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 12:18:16 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% 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 : 33 ( 18 ~; 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 : 25 ( 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn3) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',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/Axioms/NUM005+1.ax',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(f580,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f581,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f718,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f733,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_positive_less(X3,X2) ),
inference(cnf_transformation,[],[f418]) ).
fof(f855,plain,
! [X0] : ~ less(X0,nn2),
inference(cnf_transformation,[],[f450]) ).
fof(f1404,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(X0,X2)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(nn2,rdn_neg(X0)) ),
inference(resolution,[],[f733,f855]) ).
fof(f1410,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_neg(rdnn(n3)))
| ~ rdn_translate(nn2,rdn_neg(rdnn(n2))) ),
inference(resolution,[],[f1404,f718]) ).
fof(f1466,plain,
! [X0] : ~ rdn_translate(X0,rdn_neg(rdnn(n3))),
inference(forward_subsumption_resolution,[],[f1410,f580]) ).
fof(f1509,plain,
$false,
inference(resolution,[],[f1466,f581]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.14/0.38 % Computer : n009.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 19:29:45 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % (2347494)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (2347504)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3910956274:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (2347500)% WARNING: option uhcvi not known.
% 0.19/0.49 % (2347499)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3620825033_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % (2347500)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1169242648:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (2347501)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=554779740:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (2347502)dis+10_1_sil=32000:sp=arity:random_seed=3228896154:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (2347503)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3174626747:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (2347505)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1813184568:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % (2347503) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2347494-2347503"...
% 0.19/0.49 % (2347505) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2347494-2347505"...
% 0.19/0.49 % (2347502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2347494-2347502"...
% 0.19/0.49 % (2347503)...printing done.
% 0.19/0.49 % (2347505)...printing done.
% 0.19/0.49 % (2347502)...printing done.
% 0.19/0.49 % (2347504)Instruction limit reached!
% 0.19/0.49 % (2347504)------------------------------
% 0.19/0.49 % (2347504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (2347504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (2347504)CaDiCaL version: 2.1.3
% 0.19/0.49 % (2347504)Termination reason: Instruction limit
% 0.19/0.49 % (2347504)Termination phase: Saturation
% 0.19/0.49 % (2347504)Time elapsed: 0.034 s
% 0.19/0.49 % (2347504)Peak memory usage: 14 MB
% 0.19/0.49 % (2347504)Instructions burned: 135 (million)
% 0.19/0.49 % (2347503)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (2347503)------------------------------
% 0.19/0.49 % (2347503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (2347503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (2347503)CaDiCaL version: 2.1.3
% 0.19/0.49 % (2347503)Termination reason: Refutation
% 0.19/0.49 % (2347503)Time elapsed: 0.025 s
% 0.19/0.49 % (2347503)Peak memory usage: 13 MB
% 0.19/0.49 % (2347503)Instructions burned: 50 (million)
% 0.19/0.49 % (2347494)Success in time 0.074 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------