%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG125+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:36:08 PM UTC 2026
% Result : ContradictoryAxioms 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 42 ( 10 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 47 ( 17 ~; 12 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
~ ( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xu,X0) = xa )
| doDivides0(xu,xa)
| aDivisorOf0(xu,xa) )
& ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xu,X0) = xb )
| doDivides0(xu,xb)
| aDivisorOf0(xu,xb) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
fof(f48,axiom,
~ ~ ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xu,X0) = xa )
& doDivides0(xu,xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
fof(f49,axiom,
~ ~ ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xu,X0) = xb )
& doDivides0(xu,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
fof(f60,plain,
~ ( ( ? [X0] :
( aElement0(X0)
& sdtasdt0(xu,X0) = xa )
| doDivides0(xu,xa)
| aDivisorOf0(xu,xa) )
& ( ? [X1] :
( aElement0(X1)
& xb = sdtasdt0(xu,X1) )
| doDivides0(xu,xb)
| aDivisorOf0(xu,xb) ) ),
inference(rectify,[],[f46]) ).
fof(f61,plain,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xu,X0) = xa )
& doDivides0(xu,xa) ),
inference(flattening,[],[f48]) ).
fof(f62,plain,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xu,X0) = xb )
& doDivides0(xu,xb) ),
inference(flattening,[],[f49]) ).
fof(f124,plain,
( ( ! [X0] :
( ~ aElement0(X0)
| xa != sdtasdt0(xu,X0) )
& ~ doDivides0(xu,xa)
& ~ aDivisorOf0(xu,xa) )
| ( ! [X1] :
( ~ aElement0(X1)
| xb != sdtasdt0(xu,X1) )
& ~ doDivides0(xu,xb)
& ~ aDivisorOf0(xu,xb) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f300,plain,
( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) ),
inference(cnf_transformation,[],[f124]) ).
fof(f308,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[],[f61]) ).
fof(f311,plain,
doDivides0(xu,xb),
inference(cnf_transformation,[],[f62]) ).
fof(f354,plain,
~ doDivides0(xu,xa),
inference(forward_subsumption_resolution,[],[f300,f311]) ).
fof(f369,plain,
$false,
inference(forward_subsumption_resolution,[],[f354,f308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG125+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n003.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 23:24:56 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.19/0.48 % (1044057)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (1044066)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=358364616:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % (1044063)% WARNING: option uhcvi not known.
% 0.19/0.48 % (1044066) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1044057-1044066"...
% 0.19/0.48 % (1044066)...printing done.
% 0.19/0.48 % (1044062)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1434595921_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % (1044063)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1007415669:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (1044066)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status ContradictoryAxioms for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (1044066)------------------------------
% 0.19/0.48 % (1044066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (1044066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (1044066)CaDiCaL version: 2.1.3
% 0.19/0.48 % (1044066)Termination reason: Refutation
% 0.19/0.48 % (1044066)Time elapsed: 0.005 s
% 0.19/0.48 % (1044066)Peak memory usage: 11 MB
% 0.19/0.48 % (1044066)Instructions burned: 15 (million)
% 0.19/0.48 % (1044057)Success in time 0.042 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------