%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM613+1 : 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 : n016.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 12:25:01 PM UTC 2026
% Result : Theorem 0.87s 0.63s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 52 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 18 ~; 20 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f109,axiom,
( sbrdtbr0(xQ) = szszuzczcdt0(xk)
& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5255) ).
fof(f110,conjecture,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f111,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(negated_conjecture,[status(cth)],[f110]) ).
fof(f112,plain,
xk != sbrdtbr0(xP),
inference(flattening,[],[f111]) ).
fof(f149,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f150,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f149]) ).
fof(f291,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f150]) ).
fof(f398,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f399,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f452,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(cnf_transformation,[],[f109]) ).
fof(f453,plain,
sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)),
inference(cnf_transformation,[],[f109]) ).
fof(f454,plain,
szszuzczcdt0(xk) = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f109]) ).
fof(f455,plain,
xk != sbrdtbr0(xP),
inference(cnf_transformation,[],[f112]) ).
fof(f541,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| aElementOf0(X0,szNzAzT0)
| aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f291]) ).
fof(f640,plain,
~ aElementOf0(xk,szNzAzT0),
inference(consistent_polarity_flipping,[],[f399]) ).
fof(f679,plain,
~ aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(consistent_polarity_flipping,[],[f452]) ).
fof(f697,plain,
xK = sbrdtbr0(xQ),
inference(forward_demodulation,[],[f454,f398]) ).
fof(f715,plain,
xK = szszuzczcdt0(sbrdtbr0(xP)),
inference(forward_demodulation,[],[f453,f697]) ).
fof(f1137,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| aElementOf0(X0,szNzAzT0)
| aElementOf0(xk,szNzAzT0)
| xk = X0 ),
inference(superposition,[],[f541,f398]) ).
fof(f1142,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| aElementOf0(X0,szNzAzT0)
| xk = X0 ),
inference(forward_subsumption_resolution,[],[f1137,f640]) ).
fof(f6022,plain,
( xK != xK
| aElementOf0(sbrdtbr0(xP),szNzAzT0)
| xk = sbrdtbr0(xP) ),
inference(superposition,[],[f1142,f715]) ).
fof(f6027,plain,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
| xk = sbrdtbr0(xP) ),
inference(trivial_inequality_removal,[],[f6022]) ).
fof(f6029,plain,
xk = sbrdtbr0(xP),
inference(forward_subsumption_resolution,[],[f6027,f679]) ).
fof(f6030,plain,
$false,
inference(forward_subsumption_resolution,[],[f6029,f455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM613+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n016.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 20:50:17 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.87/0.63 % (2975686)Will run a generic schedule for satisfiability detection.
% 0.87/0.63 % (2975697)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3850112050:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.87/0.63 % (2975692)% WARNING: option uhcvi not known.
% 0.87/0.63 % (2975692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1401040471:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.87/0.63 % (2975691)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3190517376_2999 on theBenchmark for (2999ds/0Mi)
% 0.87/0.63 % (2975693)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1286720631:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.87/0.63 % (2975695)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2734442030:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.87/0.63 % (2975694)dis+10_1_sil=32000:sp=arity:random_seed=3537156671:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.87/0.63 % (2975696)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=482719992:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.63 % TRYING [1]
% 0.87/0.63 % TRYING [2]
% 0.87/0.63 % TRYING [3]
% 0.87/0.63 % (2975697)Instruction limit reached!
% 0.87/0.63 % (2975697)------------------------------
% 0.87/0.63 % (2975697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.63 % (2975697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.63 % (2975697)CaDiCaL version: 2.1.3
% 0.87/0.63 % (2975697)Termination reason: Instruction limit
% 0.87/0.63 % (2975697)Termination phase: Saturation
% 0.87/0.63 % (2975697)Time elapsed: 0.059 s
% 0.87/0.63 % (2975697)Peak memory usage: 15 MB
% 0.87/0.63 % (2975697)Instructions burned: 161 (million)
% 0.87/0.63 % TRYING [4]
% 0.87/0.63 % (2975705)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1936734950:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.87/0.63 % (2975694)Instruction limit reached!
% 0.87/0.63 % (2975694)------------------------------
% 0.87/0.63 % (2975694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.63 % (2975694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.63 % (2975694)CaDiCaL version: 2.1.3
% 0.87/0.63 % (2975694)Termination reason: Instruction limit
% 0.87/0.63 % (2975694)Termination phase: Saturation
% 0.87/0.63 % (2975694)Time elapsed: 0.067 s
% 0.87/0.63 % (2975694)Peak memory usage: 13 MB
% 0.87/0.63 % (2975694)Instructions burned: 104 (million)
% 0.87/0.63 % TRYING [1]
% 0.87/0.63 % (2975695)Instruction limit reached!
% 0.87/0.63 % (2975695)------------------------------
% 0.87/0.63 % (2975695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.63 % (2975695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.63 % (2975695)CaDiCaL version: 2.1.3
% 0.87/0.63 % (2975695)Termination reason: Instruction limit
% 0.87/0.63 % (2975695)Termination phase: Saturation
% 0.87/0.63 % (2975695)Time elapsed: 0.075 s
% 0.87/0.63 % (2975695)Peak memory usage: 13 MB
% 0.87/0.63 % (2975695)Instructions burned: 116 (million)
% 0.87/0.63 % TRYING [2]
% 0.87/0.63 % TRYING [3]
% 0.87/0.63 % (2975696)Instruction limit reached!
% 0.87/0.63 % (2975696)------------------------------
% 0.87/0.63 % (2975696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.63 % (2975696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.63 % (2975696)CaDiCaL version: 2.1.3
% 0.87/0.63 % (2975696)Termination reason: Instruction limit
% 0.87/0.63 % (2975696)Termination phase: Saturation
% 0.87/0.63 % (2975696)Time elapsed: 0.080 s
% 0.87/0.63 % (2975696)Peak memory usage: 13 MB
% 0.87/0.63 % (2975696)Instructions burned: 132 (million)
% 0.87/0.63 % (2975707)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1100464882:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.87/0.63 % TRYING [4]
% 0.87/0.63 % (2975708)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=923710978:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.87/0.63 % (2975709)ott-21_1_sil=16000:fs=off:random_seed=1709989558:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.87/0.63 % TRYING [5]
% 0.87/0.63 % TRYING [5]
% 0.87/0.63 % (2975692) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2975686-2975692"...
% 0.87/0.63 % (2975692)...printing done.
% 0.87/0.63 % (2975692)Refutation found. Thanks to Tanya!
% 0.87/0.63 % SZS status Theorem for theBenchmark
% 0.87/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.63 % (2975692)------------------------------
% 0.87/0.63 % (2975692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.63 % (2975692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.63 % (2975692)CaDiCaL version: 2.1.3
% 0.87/0.63 % (2975692)Termination reason: Refutation
% 0.87/0.63 % (2975692)Time elapsed: 0.159 s
% 0.87/0.63 % (2975692)Peak memory usage: 14 MB
% 0.87/0.63 % (2975692)Instructions burned: 239 (million)
% 0.87/0.63 % (2975686)Success in time 0.199 s
% 0.87/0.63 % Vampire exiting
%------------------------------------------------------------------------------