%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM318+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 12:18:19 PM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 9 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn5) ).
fof(f291,axiom,
! [X0,X1,X2] :
( ( rdn_translate(X0,rdn_pos(X2))
& rdn_translate(X1,rdn_neg(X2)) )
=> sum(X0,X1,n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).
fof(f402,conjecture,
sum(n5,nn5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n5_nn5_n0) ).
fof(f403,negated_conjecture,
~ sum(n5,nn5,n0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
~ sum(n5,nn5,n0),
inference(flattening,[],[f403]) ).
fof(f432,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f291]) ).
fof(f433,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(flattening,[],[f432]) ).
fof(f456,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f583,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2))
| sum(X0,X1,n0) ),
inference(cnf_transformation,[],[f433]) ).
fof(f855,plain,
~ sum(n5,nn5,n0),
inference(cnf_transformation,[],[f404]) ).
fof(f888,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,n0)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(consistent_polarity_flipping,[],[f743]) ).
fof(f900,plain,
sum(n5,nn5,n0),
inference(consistent_polarity_flipping,[],[f855]) ).
fof(f1176,plain,
! [X0] :
( ~ rdn_translate(nn5,rdn_neg(X0))
| ~ rdn_translate(n5,rdn_pos(X0)) ),
inference(resolution,[],[f888,f900]) ).
fof(f1183,plain,
~ rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(resolution,[],[f1176,f583]) ).
fof(f1184,plain,
$false,
inference(forward_subsumption_resolution,[],[f1183,f456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM318+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 19:31:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.50 % (2349679)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (2349687)dis+10_1_sil=32000:sp=arity:random_seed=160471783:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (2349685)% WARNING: option uhcvi not known.
% 0.17/0.50 % (2349684)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1465199212_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (2349685)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1234044446:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (2349686)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=115949054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (2349688)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1473186154:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (2349689)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2364809121:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (2349690)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2593504141:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % (2349687)Instruction limit reached!
% 0.17/0.50 % (2349687)------------------------------
% 0.17/0.50 % (2349687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (2349687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (2349687)CaDiCaL version: 2.1.3
% 0.17/0.50 % (2349687)Termination reason: Instruction limit
% 0.17/0.50 % (2349687)Termination phase: Saturation
% 0.17/0.50 % (2349687)Time elapsed: 0.028 s
% 0.17/0.50 % (2349687)Peak memory usage: 13 MB
% 0.17/0.50 % (2349687)Instructions burned: 105 (million)
% 0.17/0.50 % (2349685) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2349679-2349685"...
% 0.17/0.50 % (2349688) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2349679-2349688"...
% 0.17/0.50 % (2349685)...printing done.
% 0.17/0.50 % (2349685)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (2349685)------------------------------
% 0.17/0.50 % (2349685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (2349685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (2349685)CaDiCaL version: 2.1.3
% 0.17/0.50 % (2349685)Termination reason: Refutation
% 0.17/0.50 % (2349685)Time elapsed: 0.023 s
% 0.17/0.50 % (2349685)Peak memory usage: 13 MB
% 0.17/0.50 % (2349685)Instructions burned: 44 (million)
% 0.17/0.50 % (2349679)Success in time 0.069 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------