%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM613+3 : 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 : n010.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 2.14s 0.87s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 57 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 21 ~; 18 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 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/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f80,axiom,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
fof(f99,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f109,axiom,
( sbrdtbr0(xQ) = szszuzczcdt0(xk)
& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5255) ).
fof(f110,conjecture,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f111,negated_conjecture,
sbrdtbr0(xP) != xk,
inference(negated_conjecture,[status(cth)],[f110]) ).
fof(f127,plain,
xk != sbrdtbr0(xP),
inference(flattening,[],[f111]) ).
fof(f164,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f165,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f164]) ).
fof(f267,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f320,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f165]) ).
fof(f498,plain,
xK = szszuzczcdt0(xk),
inference(cnf_transformation,[],[f80]) ).
fof(f499,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f796,plain,
xK = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f267]) ).
fof(f826,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(cnf_transformation,[],[f109]) ).
fof(f827,plain,
sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)),
inference(cnf_transformation,[],[f109]) ).
fof(f829,plain,
xk != sbrdtbr0(xP),
inference(cnf_transformation,[],[f127]) ).
fof(f1289,plain,
xK = szszuzczcdt0(sbrdtbr0(xP)),
inference(forward_demodulation,[],[f827,f796]) ).
fof(f2685,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| xk = X0 ),
inference(superposition,[],[f320,f498]) ).
fof(f2690,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0)
| xk = X0 ),
inference(forward_subsumption_resolution,[],[f2685,f499]) ).
fof(f16655,plain,
( xK != xK
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| xk = sbrdtbr0(xP) ),
inference(superposition,[],[f2690,f1289]) ).
fof(f16660,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| xk = sbrdtbr0(xP) ),
inference(trivial_inequality_removal,[],[f16655]) ).
fof(f16667,plain,
xk = sbrdtbr0(xP),
inference(forward_subsumption_resolution,[],[f16660,f826]) ).
fof(f16669,plain,
$false,
inference(forward_subsumption_resolution,[],[f16667,f829]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM613+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:46:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 2.14/0.87 % (1293953)Will run a generic schedule for satisfiability detection.
% 2.14/0.87 % (1293958)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1029940704_2999 on theBenchmark for (2999ds/0Mi)
% 2.14/0.87 % (1293959)% WARNING: option uhcvi not known.
% 2.14/0.87 % (1293959)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=637602393:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.14/0.87 % (1293960)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2282373647:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.14/0.87 % (1293961)dis+10_1_sil=32000:sp=arity:random_seed=1584784571:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.14/0.87 % (1293963)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2029258826:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.14/0.87 % (1293962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2084861025:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.14/0.87 % (1293964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3437679213:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.14/0.87 % TRYING [1]
% 2.14/0.87 % TRYING [2]
% 2.14/0.87 % TRYING [3]
% 2.14/0.87 % (1293962)Instruction limit reached!
% 2.14/0.87 % (1293962)------------------------------
% 2.14/0.87 % (1293962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293962)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293962)Termination reason: Instruction limit
% 2.14/0.87 % (1293962)Termination phase: Saturation
% 2.14/0.87 % (1293962)Time elapsed: 0.067 s
% 2.14/0.87 % (1293962)Peak memory usage: 13 MB
% 2.14/0.87 % (1293962)Instructions burned: 116 (million)
% 2.14/0.87 % (1293961)Instruction limit reached!
% 2.14/0.87 % (1293961)------------------------------
% 2.14/0.87 % (1293961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293961)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293961)Termination reason: Instruction limit
% 2.14/0.87 % (1293961)Termination phase: Saturation
% 2.14/0.87 % (1293961)Time elapsed: 0.068 s
% 2.14/0.87 % (1293961)Peak memory usage: 13 MB
% 2.14/0.87 % (1293961)Instructions burned: 104 (million)
% 2.14/0.87 % TRYING [4]
% 2.14/0.87 % (1293963)Instruction limit reached!
% 2.14/0.87 % (1293963)------------------------------
% 2.14/0.87 % (1293963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293963)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293963)Termination reason: Instruction limit
% 2.14/0.87 % (1293963)Termination phase: Saturation
% 2.14/0.87 % (1293963)Time elapsed: 0.080 s
% 2.14/0.87 % (1293963)Peak memory usage: 14 MB
% 2.14/0.87 % (1293963)Instructions burned: 133 (million)
% 2.14/0.87 % (1293972)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3203615346:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.14/0.87 % (1293973)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=420943197:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.14/0.87 % (1293974)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=2907408376:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.14/0.87 % (1293964)Instruction limit reached!
% 2.14/0.87 % (1293964)------------------------------
% 2.14/0.87 % (1293964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293964)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293964)Termination reason: Instruction limit
% 2.14/0.87 % (1293964)Termination phase: Saturation
% 2.14/0.87 % (1293964)Time elapsed: 0.107 s
% 2.14/0.87 % (1293964)Peak memory usage: 15 MB
% 2.14/0.87 % (1293964)Instructions burned: 159 (million)
% 2.14/0.87 % (1293978)ott-21_1_sil=16000:fs=off:random_seed=4076034165:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.14/0.87 % TRYING [1]
% 2.14/0.87 % TRYING [2]
% 2.14/0.87 % TRYING [3]
% 2.14/0.87 % (1293973)Instruction limit reached!
% 2.14/0.87 % (1293973)------------------------------
% 2.14/0.87 % (1293973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293973)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293973)Termination reason: Instruction limit
% 2.14/0.87 % (1293973)Termination phase: Saturation
% 2.14/0.87 % (1293973)Time elapsed: 0.084 s
% 2.14/0.87 % (1293973)Peak memory usage: 14 MB
% 2.14/0.87 % (1293973)Instructions burned: 132 (million)
% 2.14/0.87 % TRYING [5]
% 2.14/0.87 % (1293980)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1752032745:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.14/0.87 % TRYING [4]
% 2.14/0.87 % (1293978)Instruction limit reached!
% 2.14/0.87 % (1293978)------------------------------
% 2.14/0.87 % (1293978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293978)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293978)Termination reason: Instruction limit
% 2.14/0.87 % (1293978)Termination phase: Saturation
% 2.14/0.87 % (1293978)Time elapsed: 0.101 s
% 2.14/0.87 % (1293978)Peak memory usage: 14 MB
% 2.14/0.87 % (1293978)Instructions burned: 180 (million)
% 2.14/0.87 % (1293982)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3094314124:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.14/0.87 % TRYING [1]
% 2.14/0.87 % TRYING [2]
% 2.14/0.87 % TRYING [5]
% 2.14/0.87 % TRYING [3]
% 2.14/0.87 % (1293972)Instruction limit reached!
% 2.14/0.87 % (1293972)------------------------------
% 2.14/0.87 % (1293972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293972)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293972)Termination reason: Instruction limit
% 2.14/0.87 % (1293972)Termination phase: Finite model building constraint generation
% 2.14/0.87 % (1293972)Time elapsed: 0.282 s
% 2.14/0.87 % (1293972)Peak memory usage: 33 MB
% 2.14/0.87 % (1293972)Instructions burned: 718 (million)
% 2.14/0.87 % (1293984)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1061341052:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.14/0.87 % (1293959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1293953-1293959"...
% 2.14/0.87 % (1293959)...printing done.
% 2.14/0.87 % (1293959)Refutation found. Thanks to Tanya!
% 2.14/0.87 % SZS status Theorem for theBenchmark
% 2.14/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.87 % (1293959)------------------------------
% 2.14/0.87 % (1293959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.87 % (1293959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.87 % (1293959)CaDiCaL version: 2.1.3
% 2.14/0.87 % (1293959)Termination reason: Refutation
% 2.14/0.87 % (1293959)Time elapsed: 0.408 s
% 2.14/0.87 % (1293959)Peak memory usage: 19 MB
% 2.14/0.87 % (1293959)Instructions burned: 628 (million)
% 2.14/0.87 % (1293953)Success in time 0.453 s
% 2.14/0.87 % Vampire exiting
%------------------------------------------------------------------------------