%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% 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 12:27:03 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 32 ~; 24 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 33 ( 28 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ id(X3,X2)
| ~ r2(X0,X3) )
| ~ r2(X1,X2) )
| id(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
fof(f18,axiom,
! [X0,X1] :
( ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(f19,conjecture,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ id(X1,X0) )
| ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| ~ r2(X3,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneunidtwo) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ id(X1,X0) )
| ! [X3] :
( ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) )
| ~ r2(X3,X0) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& id(X1,X0) )
& ? [X3] :
( ? [X4] :
( r1(X4)
& r2(X4,X3) )
& r2(X3,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| ~ r2(X0,X3)
| id(X0,X1)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| ~ r2(X0,X1)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f64,plain,
r2(sK24,sK22),
inference(cnf_transformation,[],[f21]) ).
fof(f65,plain,
r1(sK24),
inference(cnf_transformation,[],[f21]) ).
fof(f66,plain,
r2(sK23,sK21),
inference(cnf_transformation,[],[f21]) ).
fof(f68,plain,
id(sK22,sK20),
inference(cnf_transformation,[],[f21]) ).
fof(f69,plain,
r2(sK21,sK20),
inference(cnf_transformation,[],[f21]) ).
fof(f155,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ id(sK24,X1) ),
inference(resolution,[],[f63,f65]) ).
fof(f266,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21)
| ~ id(X1,sK20) ),
inference(resolution,[],[f51,f69]) ).
fof(f296,plain,
~ id(sK24,sK21),
inference(resolution,[],[f155,f66]) ).
fof(f463,plain,
( id(sK24,sK21)
| ~ id(sK22,sK20) ),
inference(resolution,[],[f266,f64]) ).
fof(f465,plain,
~ id(sK22,sK20),
inference(forward_subsumption_resolution,[],[f463,f296]) ).
fof(f478,plain,
$false,
inference(forward_subsumption_resolution,[],[f465,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 21:55:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (2438958)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2438967)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3563695243:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2438964)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2438965)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1509779626:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2438963)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1093169708_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (2438969)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3926268331:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (2438966)dis+10_1_sil=32000:sp=arity:random_seed=1720684738:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2438968)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1558736433:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (2438967) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2438958-2438967"...
% 0.10/0.45 % (2438967)...printing done.
% 0.10/0.45 % (2438964)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3049621726:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (2438967)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2438967)------------------------------
% 0.10/0.45 % (2438967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2438967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2438967)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2438967)Termination reason: Refutation
% 0.10/0.45 % (2438967)Time elapsed: 0.008 s
% 0.10/0.45 % (2438967)Peak memory usage: 12 MB
% 0.10/0.45 % (2438967)Instructions burned: 22 (million)
% 0.10/0.45 % (2438958)Success in time 0.038 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------