%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG087+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:35:59 PM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 37 ( 11 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 35 ( 10 ~; 5 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 5 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
( ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).
fof(f28,conjecture,
? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& xy = sdtpldt0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& xy = sdtpldt0(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f33,plain,
( ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& xy = sdtpldt0(X2,X3) )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(rectify,[],[f26]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sdtpldt0(X0,X1) != xy ),
inference(ennf_transformation,[],[f29]) ).
fof(f127,plain,
xy = sdtpldt0(sK8,sK9),
inference(cnf_transformation,[],[f33]) ).
fof(f128,plain,
aElementOf0(sK9,xJ),
inference(cnf_transformation,[],[f33]) ).
fof(f129,plain,
aElementOf0(sK8,xI),
inference(cnf_transformation,[],[f33]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI)
| sdtpldt0(X0,X1) != xy ),
inference(cnf_transformation,[],[f68]) ).
fof(f151,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| xy != sdtpldt0(X0,sK9) ),
inference(resolution,[],[f128,f136]) ).
fof(f164,plain,
xy != sdtpldt0(sK8,sK9),
inference(resolution,[],[f151,f129]) ).
fof(f166,plain,
$false,
inference(forward_subsumption_resolution,[],[f164,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG087+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 23:13:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43 % (1035764)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (1035773)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2509018956:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.43 % (1035770)% WARNING: option uhcvi not known.
% 0.09/0.43 % (1035773) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1035764-1035773"...
% 0.09/0.43 % (1035773)...printing done.
% 0.09/0.43 % (1035773)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Theorem for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (1035773)------------------------------
% 0.09/0.43 % (1035773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (1035773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (1035773)CaDiCaL version: 2.1.3
% 0.09/0.43 % (1035773)Termination reason: Refutation
% 0.09/0.43 % (1035773)Time elapsed: 0.003 s
% 0.09/0.43 % (1035773)Peak memory usage: 12 MB
% 0.09/0.43 % (1035773)Instructions burned: 6 (million)
% 0.09/0.43 % (1035764)Success in time 0.028 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------