%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN350+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 02:07:25 PM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 80 ( 27 ~; 24 |; 19 &)
% ( 5 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 32 ( 22 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
? [X1,X2] :
! [X3] :
( ( big_f(X0,X3)
<=> big_f(X3,X0) )
=> ( big_f(X0,X3)
<=> ( big_f(X2,X3)
& ( big_f(X1,X3)
=> big_f(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X1,X2] :
! [X3] :
( ( big_f(X0,X3)
<=> big_f(X3,X0) )
=> ( big_f(X0,X3)
<=> ( big_f(X2,X3)
& ( big_f(X1,X3)
=> big_f(X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
! [X1,X2] :
? [X3] :
( ( big_f(X0,X3)
<~> ( big_f(X2,X3)
& ( big_f(X1,X2)
| ~ big_f(X1,X3) ) ) )
& ( big_f(X0,X3)
<=> big_f(X3,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0] :
! [X1,X2] :
? [X3] :
( ( ~ big_f(X2,X3)
| ( ~ big_f(X1,X2)
& big_f(X1,X3) )
| ~ big_f(X0,X3) )
& ( ( big_f(X2,X3)
& ( big_f(X1,X2)
| ~ big_f(X1,X3) ) )
| big_f(X0,X3) )
& ( big_f(X0,X3)
| ~ big_f(X3,X0) )
& ( big_f(X3,X0)
| ~ big_f(X0,X3) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
? [X0] :
! [X1,X2] :
? [X3] :
( ( ~ big_f(X2,X3)
| ( ~ big_f(X1,X2)
& big_f(X1,X3) )
| ~ big_f(X0,X3) )
& ( ( big_f(X2,X3)
& ( big_f(X1,X2)
| ~ big_f(X1,X3) ) )
| big_f(X0,X3) )
& ( big_f(X0,X3)
| ~ big_f(X3,X0) )
& ( big_f(X3,X0)
| ~ big_f(X0,X3) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X1,X2] :
( ( ~ big_f(X2,sK1(X1,X2))
| ( ~ big_f(X1,X2)
& big_f(X1,sK1(X1,X2)) )
| ~ big_f(sK0,sK1(X1,X2)) )
& ( ( big_f(X2,sK1(X1,X2))
& ( big_f(X1,X2)
| ~ big_f(X1,sK1(X1,X2)) ) )
| big_f(sK0,sK1(X1,X2)) )
& ( big_f(sK0,sK1(X1,X2))
| ~ big_f(sK1(X1,X2),sK0) )
& ( big_f(sK1(X1,X2),sK0)
| ~ big_f(sK0,sK1(X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X3,sK1(X1,X2))],[f5]) ).
fof(f7,plain,
! [X2,X1] :
( ~ big_f(sK0,sK1(X1,X2))
| big_f(sK1(X1,X2),sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
! [X2,X1] :
( big_f(X2,sK1(X1,X2))
| big_f(sK0,sK1(X1,X2)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f12,plain,
! [X2,X1] :
( ~ big_f(sK0,sK1(X1,X2))
| ~ big_f(X1,X2)
| ~ big_f(X2,sK1(X1,X2)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X0] : big_f(sK0,sK1(X0,sK0)),
inference(factoring,[],[f10]) ).
fof(f18,plain,
! [X0] : big_f(sK1(X0,sK0),sK0),
inference(resolution,[],[f14,f7]) ).
fof(f21,plain,
! [X0] :
( ~ big_f(X0,sK0)
| ~ big_f(sK0,sK1(X0,sK0)) ),
inference(resolution,[],[f12,f14]) ).
fof(f22,plain,
! [X0] : ~ big_f(X0,sK0),
inference(forward_subsumption_resolution,[],[f21,f14]) ).
fof(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN350+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n013.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:46:51 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 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
% 0.10/0.25 % (1292256)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (1292261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3379148034_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.25 % TRYING [1]
% 0.10/0.25 % TRYING [2]
% 0.10/0.25 % TRYING [3]
% 0.10/0.25 % TRYING [4]
% 0.10/0.25 % TRYING [5]
% 0.10/0.25 % TRYING [6]
% 0.10/0.25 % TRYING [7]
% 0.10/0.25 % (1292264)dis+10_1_sil=32000:sp=arity:random_seed=2378135040:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25 % (1292262)% WARNING: option uhcvi not known.
% 0.10/0.25 % (1292263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1143568861:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.25 % (1292265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3431304121:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.25 % (1292266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3707295963:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25 % (1292267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1064607957:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25 % (1292264) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1292256-1292264"...
% 0.10/0.25 % TRYING [8]
% 0.10/0.25 % (1292266) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1292256-1292266"...
% 0.10/0.25 % (1292265) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1292256-1292265"...
% 0.10/0.25 % (1292267) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1292256-1292267"...
% 0.10/0.25 % (1292263) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1292256-1292263"...
% 0.10/0.25 % (1292264)...printing done.
% 0.10/0.25 % (1292266)...printing done.
% 0.10/0.25 % (1292265)...printing done.
% 0.10/0.25 % (1292264)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Theorem for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (1292264)------------------------------
% 0.10/0.25 % (1292264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (1292264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (1292264)CaDiCaL version: 2.1.3
% 0.10/0.25 % (1292264)Termination reason: Refutation
% 0.10/0.25 % (1292264)Time elapsed: 0.001 s
% 0.10/0.25 % (1292264)Peak memory usage: 11 MB
% 0.10/0.25 % (1292264)Instructions burned: 1 (million)
% 0.10/0.25 % (1292256)Success in time 0.033 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------