%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWC002-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 10:19:22 AM UTC 2026
% Result : Unsatisfiable 4.54s 1.19s
% Output : Refutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
and(n0,n0) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition1) ).
fof(f2,plain,
n0 = and(n0,n0),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
and(n0,n1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition2) ).
fof(f4,plain,
n0 = and(n0,n1),
inference(reorient_equations,[],[f3]) ).
fof(f36,axiom,
! [X0,X1] : circuit(top(X0),X1,bottom(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsume_symmetric) ).
fof(f37,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] : and(table(X0,X1,X2,X3),table(X4,X5,X6,X7)) = table(and(X0,X4),and(X1,X5),and(X2,X6),and(X3,X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_table_definition) ).
fof(f38,axiom,
! [X0] : and(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition5) ).
fof(f44,axiom,
table(n0,n0,n0,n0) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_table) ).
fof(f45,plain,
nil = table(n0,n0,n0,n0),
inference(reorient_equations,[],[f44]) ).
fof(f52,negated_conjecture,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_output_configuration) ).
fof(f68,plain,
! [X0,X1] : ~ circuit(top(X0),X1,bottom(X0)),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f70,plain,
circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X4,X5] : and(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = table(and(X0,X3),n0,and(X1,X4),and(X2,X5)),
inference(superposition,[],[f37,f2]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X4,X5] : table(and(X0,X3),n0,and(X1,X4),and(X2,X5)) = and(table(X0,n0,X1,X2),table(X3,n1,X4,X5)),
inference(superposition,[],[f37,f4]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4,X5] : and(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = table(and(X0,X3),and(X1,X4),n0,and(X2,X5)),
inference(superposition,[],[f37,f2]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4,X5] : table(and(X0,X3),and(X1,X4),n0,and(X2,X5)) = and(table(X0,X1,n0,X2),table(X3,X4,n1,X5)),
inference(superposition,[],[f37,f4]) ).
fof(f4237,plain,
! [X2,X3,X0,X1,X4,X5] : and(table(X0,n0,X1,X2),table(X3,n0,X4,X5)) = and(table(X0,n0,X1,X2),table(X3,n1,X4,X5)),
inference(forward_demodulation,[],[f167,f166]) ).
fof(f4554,plain,
! [X2,X3,X0,X1,X4,X5] : and(table(X0,X1,n0,X2),table(X3,X4,n0,X5)) = and(table(X0,X1,n0,X2),table(X3,X4,n1,X5)),
inference(forward_demodulation,[],[f172,f171]) ).
fof(f7895,plain,
! [X2,X0,X1] : and(nil,table(X0,n0,X1,X2)) = and(nil,table(X0,n1,X1,X2)),
inference(superposition,[],[f4237,f45]) ).
fof(f8019,plain,
! [X2,X0,X1] : table(X0,n1,X1,X2) = and(nil,table(X0,n0,X1,X2)),
inference(forward_demodulation,[],[f7895,f38]) ).
fof(f8024,plain,
! [X2,X0,X1] : table(X0,n0,X1,X2) = table(X0,n1,X1,X2),
inference(forward_demodulation,[],[f8019,f38]) ).
fof(f8162,plain,
! [X2,X0,X1] : and(nil,table(X0,X1,n0,X2)) = and(nil,table(X0,X1,n1,X2)),
inference(superposition,[],[f4554,f45]) ).
fof(f8293,plain,
! [X2,X0,X1] : table(X0,X1,n1,X2) = and(nil,table(X0,X1,n0,X2)),
inference(forward_demodulation,[],[f8162,f38]) ).
fof(f8298,plain,
! [X2,X0,X1] : table(X0,X1,n0,X2) = table(X0,X1,n1,X2),
inference(forward_demodulation,[],[f8293,f38]) ).
fof(f9693,plain,
circuit(top(connect(table(n0,n0,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
inference(superposition,[],[f70,f8024]) ).
fof(f10994,plain,
circuit(top(connect(table(n0,n0,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n0,n1),nil))),
inference(superposition,[],[f9693,f8298]) ).
fof(f11070,plain,
$false,
inference(forward_subsumption_resolution,[],[f10994,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWC002-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.47 % Computer : n011.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 10:52:00 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.52 Running first-order model finding
% 0.25/0.52 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
% 4.54/1.19 % (2218193)Will run a generic schedule for satisfiability detection.
% 4.54/1.19 % (2218198)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1009714938_2999 on theBenchmark for (2999ds/0Mi)
% 4.54/1.19 % TRYING [1]
% 4.54/1.19 % TRYING [2]
% 4.54/1.19 % (2218199)% WARNING: option uhcvi not known.
% 4.54/1.19 % (2218204)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2712783882:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.54/1.19 % (2218200)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=201932708:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.54/1.19 % (2218201)dis+10_1_sil=32000:sp=arity:random_seed=3524365257:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.54/1.19 % (2218202)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2427465229:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.54/1.19 % (2218199)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1663376745:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.54/1.19 % (2218203)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2691427304:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.54/1.19 % TRYING [3]
% 4.54/1.19 % (2218201)Instruction limit reached!
% 4.54/1.19 % (2218201)------------------------------
% 4.54/1.19 % (2218201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (2218201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (2218201)CaDiCaL version: 2.1.3
% 4.54/1.19 % (2218201)Termination reason: Instruction limit
% 4.54/1.19 % (2218201)Termination phase: Saturation
% 4.54/1.19 % (2218201)Time elapsed: 0.088 s
% 4.54/1.19 % (2218201)Peak memory usage: 12 MB
% 4.54/1.19 % (2218201)Instructions burned: 104 (million)
% 4.54/1.19 % (2218202)Instruction limit reached!
% 4.54/1.19 % (2218202)------------------------------
% 4.54/1.19 % (2218202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (2218202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (2218202)CaDiCaL version: 2.1.3
% 4.54/1.19 % (2218202)Termination reason: Instruction limit
% 4.54/1.19 % (2218202)Termination phase: Saturation
% 4.54/1.19 % (2218202)Time elapsed: 0.101 s
% 4.54/1.19 % (2218202)Peak memory usage: 13 MB
% 4.54/1.19 % (2218202)Instructions burned: 116 (million)
% 4.54/1.19 % (2218212)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1157334908:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.54/1.19 % (2218203)Instruction limit reached!
% 4.54/1.19 % (2218203)------------------------------
% 4.54/1.19 % (2218203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (2218203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (2218203)CaDiCaL version: 2.1.3
% 4.54/1.19 % (2218203)Termination reason: Instruction limit
% 4.54/1.19 % (2218203)Termination phase: Saturation
% 4.54/1.19 % (2218203)Time elapsed: 0.133 s
% 4.54/1.19 % (2218203)Peak memory usage: 12 MB
% 4.54/1.19 % (2218203)Instructions burned: 132 (million)
% 4.54/1.19 % (2218204)Instruction limit reached!
% 4.54/1.19 % (2218204)------------------------------
% 4.54/1.19 % (2218204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (2218204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (2218204)CaDiCaL version: 2.1.3
% 4.54/1.19 % (2218204)Termination reason: Instruction limit
% 4.54/1.19 % (2218204)Termination phase: Saturation
% 4.54/1.19 % (2218204)Time elapsed: 0.141 s
% 4.54/1.19 % (2218204)Peak memory usage: 13 MB
% 4.54/1.19 % (2218204)Instructions burned: 159 (million)
% 4.54/1.19 % (2218213)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1156096084:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.54/1.19 % TRYING [1]
% 4.54/1.19 % TRYING [2]
% 4.54/1.19 % TRYING [3]
% 4.54/1.19 % (2218215)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=2159648864:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.54/1.19 % (2218216)ott-21_1_sil=16000:fs=off:random_seed=1153087239:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.54/1.19 % TRYING [4]
% 4.54/1.19 % (2218213)Instruction limit reached!
% 4.54/1.19 % (2218213)------------------------------
% 4.54/1.19 % (2218213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (2218213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (2218213)CaDiCaL version: 2.1.3
% 4.54/1.19 % (2218213)Termination reason: Instruction limit
% 4.54/1.19 % (2218213)Termination phase: Saturation
% 4.54/1.19 % (2218213)Time elapsed: 0.123 s
% 4.54/1.19 % (2218213)Peak memory usage: 13 MB
% 4.54/1.19 % (2218213)Instructions burned: 131 (million)
% 4.54/1.19 % (2218220)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2214272658:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 4.54/1.19 % (2218216)Instruction limit reached!
% 4.54/1.19 % (2218216)------------------------------
% 4.54/1.19 % (2218216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (2218216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (2218216)CaDiCaL version: 2.1.3
% 4.54/1.19 % (2218216)Termination reason: Instruction limit
% 4.54/1.19 % (2218216)Termination phase: Saturation
% 4.54/1.19 % (2218216)Time elapsed: 0.143 s
% 4.54/1.19 % (2218216)Peak memory usage: 11 MB
% 4.54/1.19 % (2218216)Instructions burned: 180 (million)
% 4.54/1.19 % (2218222)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1211848045:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 4.54/1.19 % TRYING [1]
% 4.54/1.19 % TRYING [2]
% 4.54/1.19 % TRYING [3]
% 4.54/1.19 % (2218199) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2218193-2218199"...
% 4.54/1.19 % (2218199)...printing done.
% 4.54/1.19 % (2218199)Refutation found. Thanks to Tanya!
% 4.54/1.19 % SZS status Unsatisfiable for theBenchmark
% 4.54/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.54/1.19 % (2218199)------------------------------
% 4.54/1.19 % (2218199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (2218199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (2218199)CaDiCaL version: 2.1.3
% 4.54/1.19 % (2218199)Termination reason: Refutation
% 4.54/1.19 % (2218199)Time elapsed: 0.575 s
% 4.54/1.19 % (2218199)Peak memory usage: 19 MB
% 4.54/1.19 % (2218199)Instructions burned: 668 (million)
% 4.54/1.19 % (2218193)Success in time 0.649 s
% 4.54/1.19 % Vampire exiting
%------------------------------------------------------------------------------