%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN326+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 : n005.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 02:07:19 PM UTC 2026
% Result : Theorem 0.21s 0.26s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 58 ( 15 ~; 9 |; 18 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 20 ( 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1,X2] :
( ( ( big_f(X1,X2)
=> ( big_g(X1)
=> big_h(X0) ) )
=> big_f(X0,X0) )
=> ( ( ( big_f(X2,X0)
=> big_g(X0) )
=> big_h(X2) )
=> ( big_f(X0,X1)
=> big_f(X2,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_12_1) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1,X2] :
( ( ( big_f(X1,X2)
=> ( big_g(X1)
=> big_h(X0) ) )
=> big_f(X0,X0) )
=> ( ( ( big_f(X2,X0)
=> big_g(X0) )
=> big_h(X2) )
=> ( big_f(X0,X1)
=> big_f(X2,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
? [X1,X2] :
( ~ big_f(X2,X2)
& big_f(X0,X1)
& ( big_h(X2)
| ( ~ big_g(X0)
& big_f(X2,X0) ) )
& ( big_f(X0,X0)
| ( ~ big_h(X0)
& big_g(X1)
& big_f(X1,X2) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0] :
? [X1,X2] :
( ~ big_f(X2,X2)
& big_f(X0,X1)
& ( big_h(X2)
| ( ~ big_g(X0)
& big_f(X2,X0) ) )
& ( big_f(X0,X0)
| ( ~ big_h(X0)
& big_g(X1)
& big_f(X1,X2) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ~ big_f(sK1(X0),sK1(X0))
& big_f(X0,sK0(X0))
& ( big_h(sK1(X0))
| ( ~ big_g(X0)
& big_f(sK1(X0),X0) ) )
& ( big_f(X0,X0)
| ( ~ big_h(X0)
& big_g(sK0(X0))
& big_f(sK0(X0),sK1(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f4]) ).
fof(f7,plain,
! [X0] :
( big_f(X0,X0)
| big_g(sK0(X0)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0] :
( big_f(X0,X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X0] :
( big_h(sK1(X0))
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X0] : ~ big_f(sK1(X0),sK1(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
! [X0] : ~ big_h(sK1(X0)),
inference(resolution,[],[f12,f8]) ).
fof(f14,plain,
! [X0] : ~ big_g(X0),
inference(resolution,[],[f13,f10]) ).
fof(f15,plain,
! [X0] : big_g(sK0(sK1(X0))),
inference(resolution,[],[f7,f12]) ).
fof(f17,plain,
$false,
inference(forward_subsumption_resolution,[],[f15,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN326+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:42:17 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.26 % (891127)Will run a generic schedule for satisfiability detection.
% 0.21/0.26 % (891134)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3027806022_3000 on theBenchmark for (3000ds/0Mi)
% 0.21/0.26 % TRYING [1]
% 0.21/0.26 % TRYING [2]
% 0.21/0.26 % TRYING [3]
% 0.21/0.26 % TRYING [4]
% 0.21/0.26 % TRYING [5]
% 0.21/0.26 % TRYING [6]
% 0.21/0.26 % TRYING [7]
% 0.21/0.26 % (891135)% WARNING: option uhcvi not known.
% 0.21/0.26 % TRYING [8]
% 0.21/0.26 % (891137)dis+10_1_sil=32000:sp=arity:random_seed=1660487579:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.21/0.26 % (891135)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1832418991:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.21/0.26 % (891136)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=785344686:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.21/0.26 % (891139)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4178579643:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.21/0.26 % (891138)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2245810923:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.21/0.26 % (891140)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=662358673:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.21/0.26 % (891137) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-891127-891137"...
% 0.21/0.26 % (891135) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-891127-891135"...
% 0.21/0.26 % (891139) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-891127-891139"...
% 0.21/0.26 % TRYING [9]
% 0.21/0.26 % (891136) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-891127-891136"...
% 0.21/0.26 % (891138) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-891127-891138"...
% 0.21/0.26 % (891140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-891127-891140"...
% 0.21/0.26 % (891137)...printing done.
% 0.21/0.26 % (891135)...printing done.
% 0.21/0.26 % (891139)...printing done.
% 0.21/0.26 % (891138)...printing done.
% 0.21/0.26 % (891136)...printing done.
% 0.21/0.26 % (891140)...printing done.
% 0.21/0.26 % (891137)Refutation found. Thanks to Tanya!
% 0.21/0.26 % SZS status Theorem for theBenchmark
% 0.21/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26 % (891137)------------------------------
% 0.21/0.26 % (891137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26 % (891137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26 % (891137)CaDiCaL version: 2.1.3
% 0.21/0.26 % (891137)Termination reason: Refutation
% 0.21/0.26 % (891137)Time elapsed: 0.001 s
% 0.21/0.26 % (891137)Peak memory usage: 11 MB
% 0.21/0.26 % (891127)Success in time 0.025 s
% 0.21/0.26 % Vampire exiting
%------------------------------------------------------------------------------