%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:36:17 AM UTC 2026
% Result : Unsatisfiable 0.41s 0.31s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,X0))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sh_1) ).
fof(f2,negated_conjecture,
nand(nand(a,a),nand(b,a)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_meredith_2_basis_1) ).
fof(f3,plain,
a != nand(nand(a,a),nand(b,a)),
inference(reorient_equations,[],[f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : nand(nand(nand(X0,nand(X1,X2)),nand(nand(X3,nand(X0,nand(X1,X2))),nand(X0,nand(X1,X2)))),nand(X3,X0)) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X0,X1] : nand(X2,nand(nand(X0,X2),X2)) = nand(nand(nand(X1,X2),nand(nand(nand(X2,nand(nand(X0,X2),X2)),nand(X1,X2)),nand(X1,X2))),X0),
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X3,X0,X1] : nand(nand(X0,nand(nand(X3,X0),X0)),nand(X3,nand(X1,nand(nand(X0,X1),X1)))) = X3,
inference(superposition,[],[f5,f1]) ).
fof(f42,plain,
! [X0,X1] : nand(X0,nand(nand(X0,X0),X0)) = nand(nand(X1,nand(nand(nand(X0,nand(nand(X0,X0),X0)),X1),X1)),X0),
inference(superposition,[],[f11,f1]) ).
fof(f55,plain,
! [X0,X1] : nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))) = nand(nand(X1,nand(nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X1),X1)),nand(X0,nand(nand(X0,X0),X0))),
inference(superposition,[],[f42,f1]) ).
fof(f75,plain,
! [X0,X1] : nand(nand(X1,nand(nand(X0,X1),X1)),nand(X0,nand(nand(X0,X0),X0))) = X0,
inference(forward_demodulation,[],[f55,f11]) ).
fof(f91,plain,
! [X0] : nand(X0,nand(nand(X0,X0),X0)) = nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X0),
inference(superposition,[],[f42,f75]) ).
fof(f103,plain,
! [X0] : nand(X0,X0) = nand(X0,nand(nand(X0,X0),X0)),
inference(forward_demodulation,[],[f91,f11]) ).
fof(f118,plain,
! [X0,X1] : nand(nand(X1,nand(nand(X0,X1),X1)),nand(X0,X0)) = X0,
inference(superposition,[],[f75,f103]) ).
fof(f1281,plain,
! [X0,X1] : nand(X1,nand(nand(nand(nand(X0,X1),nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1))),X1),X1)) = nand(nand(nand(X0,X1),nand(nand(nand(X0,X1),nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1))),nand(X0,X1))),nand(nand(X0,X1),nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1)))),
inference(superposition,[],[f6,f42]) ).
fof(f1359,plain,
! [X0,X1] : nand(X1,nand(nand(nand(nand(X0,X1),nand(X0,X1)),X1),X1)) = nand(nand(nand(X0,X1),nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1))),nand(nand(X0,X1),nand(X0,X1))),
inference(forward_demodulation,[],[f1281,f103]) ).
fof(f1381,plain,
! [X0,X1] : nand(X0,X1) = nand(X1,nand(nand(nand(nand(X0,X1),nand(X0,X1)),X1),X1)),
inference(forward_demodulation,[],[f1359,f118]) ).
fof(f1524,plain,
! [X0,X1] : nand(nand(X1,nand(nand(X1,X1),X1)),nand(X0,X1)) = X1,
inference(superposition,[],[f1,f1381]) ).
fof(f1553,plain,
! [X0,X1] : nand(nand(X1,X1),nand(X0,X1)) = X1,
inference(forward_demodulation,[],[f1524,f103]) ).
fof(f1632,plain,
a != a,
inference(superposition,[],[f3,f1553]) ).
fof(f1686,plain,
$false,
inference(trivial_inequality_removal,[],[f1632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n016.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 21:12:49 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.41/0.31 % (4015980)Will run a generic schedule for satisfiability detection.
% 0.41/0.31 % (4015986)% WARNING: option uhcvi not known.
% 0.41/0.31 % (4015986)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3285215869:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.31 % (4015989)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1076405975:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.31 % (4015985)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3447316321_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.31 % (4015987)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3753559616:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.31 % (4015988)dis+10_1_sil=32000:sp=arity:random_seed=3001989080:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.31 % (4015990)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=627988880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.31 % (4015991)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3010261073:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.31 % TRYING [1]
% 0.41/0.31 % TRYING [2]
% 0.41/0.31 % TRYING [3]
% 0.41/0.31 % TRYING [4]
% 0.41/0.31 % TRYING [5]
% 0.41/0.31 % (4015988)Instruction limit reached!
% 0.41/0.31 % (4015988)------------------------------
% 0.41/0.31 % (4015988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (4015988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (4015988)CaDiCaL version: 2.1.3
% 0.41/0.31 % (4015988)Termination reason: Instruction limit
% 0.41/0.31 % (4015988)Termination phase: Saturation
% 0.41/0.31 % (4015988)Time elapsed: 0.059 s
% 0.41/0.31 % (4015988)Peak memory usage: 11 MB
% 0.41/0.31 % (4015988)Instructions burned: 104 (million)
% 0.41/0.31 % (4015987) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4015980-4015987"...
% 0.41/0.31 % (4015987)...printing done.
% 0.41/0.31 % (4015989)Instruction limit reached!
% 0.41/0.31 % (4015989)------------------------------
% 0.41/0.31 % (4015989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (4015989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (4015989)CaDiCaL version: 2.1.3
% 0.41/0.31 % (4015989)Termination reason: Instruction limit
% 0.41/0.31 % (4015989)Termination phase: Saturation
% 0.41/0.31 % (4015989)Time elapsed: 0.073 s
% 0.41/0.31 % (4015989)Peak memory usage: 12 MB
% 0.41/0.31 % (4015989)Instructions burned: 117 (million)
% 0.41/0.31 % (4015987)Refutation found. Thanks to Tanya!
% 0.41/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.31 % (4015987)------------------------------
% 0.41/0.31 % (4015987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.31 % (4015987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.31 % (4015987)CaDiCaL version: 2.1.3
% 0.41/0.31 % (4015987)Termination reason: Refutation
% 0.41/0.31 % (4015987)Time elapsed: 0.071 s
% 0.41/0.31 % (4015987)Peak memory usage: 12 MB
% 0.41/0.31 % (4015987)Instructions burned: 124 (million)
% 0.41/0.31 % (4015980)Success in time 0.102 s
% 0.41/0.31 % Vampire exiting
%------------------------------------------------------------------------------