%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN346+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 02:07:24 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 57 ( 21 ~; 12 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 39 ( 24 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X2,X4)
& big_f(X3,X4) )
| ( big_f(X1,X5)
& big_f(X3,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X2,X4)
& big_f(X3,X4) )
| ( big_f(X1,X5)
& big_f(X3,X5) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ! [X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X2,X4)
& big_f(X3,X4) )
| ( big_f(X1,X5)
& big_f(X3,X5) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X1] :
! [X2,X3] :
? [X4,X5] :
( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( ~ big_f(X1,X5)
| ~ big_f(X3,X5) )
& big_f(X2,X5)
& big_f(X1,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
? [X1] :
! [X2,X3] :
? [X4,X5] :
( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( ~ big_f(X1,X5)
| ~ big_f(X3,X5) )
& big_f(X2,X5)
& big_f(X1,X4) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
! [X1,X2] :
? [X3,X4] :
( ( ~ big_f(X1,X3)
| ~ big_f(X2,X3) )
& ( ~ big_f(X0,X4)
| ~ big_f(X2,X4) )
& big_f(X1,X4)
& big_f(X0,X3) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
! [X1,X2] :
( ( ~ big_f(X1,sK1(X1,X2))
| ~ big_f(X2,sK1(X1,X2)) )
& ( ~ big_f(sK0,sK2(X1,X2))
| ~ big_f(X2,sK2(X1,X2)) )
& big_f(X1,sK2(X1,X2))
& big_f(sK0,sK1(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X3,sK1(X1,X2)),skolemize(X4,sK2(X1,X2))],[f6]) ).
fof(f9,plain,
! [X2,X1] : big_f(X1,sK2(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2,X1] :
( ~ big_f(sK0,sK2(X1,X2))
| ~ big_f(X2,sK2(X1,X2)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] : ~ big_f(X0,sK2(sK0,X0)),
inference(resolution,[],[f10,f9]) ).
fof(f14,plain,
$false,
inference(resolution,[],[f12,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN346+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n014.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:46:30 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.24 % (1882178)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (1882184)% WARNING: option uhcvi not known.
% 0.09/0.24 % (1882188)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=16985123:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24 % (1882188) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1882178-1882188"...
% 0.09/0.24 % (1882184)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2025428153:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24 % (1882183)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2999547599_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24 % (1882188)...printing done.
% 0.09/0.24 % (1882189)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2161443764:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.24 % (1882185)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=458450208:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24 % (1882186)dis+10_1_sil=32000:sp=arity:random_seed=2153847976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.24 % (1882187)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=914966587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.24 % (1882188)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (1882188)------------------------------
% 0.09/0.24 % (1882188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (1882188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (1882188)CaDiCaL version: 2.1.3
% 0.09/0.24 % (1882188)Termination reason: Refutation
% 0.09/0.24 % (1882188)Time elapsed: 0.001 s
% 0.09/0.24 % (1882188)Peak memory usage: 11 MB
% 0.09/0.24 % (1882178)Success in time 0.034 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------