%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 10:20:16 AM UTC 2026
% Result : Unsatisfiable 0.18s 1.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 47 ( 20 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 14 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f10,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f52,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f75,axiom,
! [X2,X0,X1] :
( def_89(X0,X1)
| f_ADD_(X2,X0) != X1
| f_SUB_(X1,X0) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f76,axiom,
! [X0,X1] :
( X0 != X1
| ~ def_89(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f91,axiom,
! [X0] : f_ADD_(n0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
fof(f152,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f155,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f156,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f157,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f159,plain,
! [X2,X0] :
( def_89(X0,f_ADD_(X2,X0))
| f_SUB_(f_ADD_(X2,X0),X0) = X2 ),
inference(equality_resolution,[],[f75]) ).
fof(f160,plain,
! [X1] : ~ def_89(X1,X1),
inference(equality_resolution,[],[f76]) ).
fof(f163,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(superposition,[],[f5,f153]) ).
fof(f165,plain,
~ p_LES_EQU_(n1,n0),
inference(superposition,[],[f72,f91]) ).
fof(f167,plain,
n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(resolution,[],[f10,f157]) ).
fof(f239,plain,
! [X0] :
( def_89(X0,X0)
| n0 = f_SUB_(X0,X0) ),
inference(superposition,[],[f159,f91]) ).
fof(f241,plain,
! [X0] : n0 = f_SUB_(X0,X0),
inference(forward_subsumption_resolution,[],[f239,f160]) ).
fof(f486,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1)
| p_LES_EQU_(n1,n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(superposition,[],[f52,f163]) ).
fof(f489,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f486,f165]) ).
fof(f490,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f489,f154]) ).
fof(f491,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(forward_subsumption_resolution,[],[f490,f156]) ).
fof(f492,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1),
inference(forward_subsumption_resolution,[],[f491,f155]) ).
fof(f493,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(forward_demodulation,[],[f492,f241]) ).
fof(f494,plain,
$false,
inference(forward_subsumption_resolution,[],[f493,f167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 % Computer : n006.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8046.5625MB
% 0.12/0.42 % OS : Linux 6.8.0-71-generic
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Sun Sep 27 10:57:11 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.46 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.46/1.30 % (2804194)Input is clausal, will run a generic CNF schedule.
% 3.46/1.30 % (2804204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2311472770:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.46/1.30 % (2804202)lrs+10_1_sil=8000:sp=occurrence:random_seed=602038593:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.46/1.30 % (2804200)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2584696596:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.46/1.30 % (2804199)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1393713423:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.46/1.30 % (2804205)dis-21_1_sil=8000:lcm=predicate:random_seed=3698261033:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.46/1.30 % (2804201)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1031416093:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.30 % (2804203)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4040018823:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.30 % (2804204)First to succeed.
% 0.18/1.30 % (2804204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2804194"
% 0.18/1.30 % (2804203)Also succeeded, but the first one will report.
% 0.18/1.30 % (2804202)Instruction limit reached!
% 0.18/1.30 % (2804202)------------------------------
% 0.18/1.30 % (2804202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (2804202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (2804202)CaDiCaL version: 2.1.3
% 0.18/1.30 % (2804202)Termination reason: Instruction limit
% 0.18/1.30 % (2804202)Termination phase: Saturation
% 0.18/1.30 % (2804202)Time elapsed: 0.065 s
% 0.18/1.30 % (2804202)Peak memory usage: 88 MB
% 0.18/1.30 % (2804202)Instructions burned: 107 (million)
% 0.18/1.30 % (2804205)Instruction limit reached!
% 0.18/1.30 % (2804205)------------------------------
% 0.18/1.30 % (2804205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (2804205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (2804205)CaDiCaL version: 2.1.3
% 0.18/1.30 % (2804205)Termination reason: Instruction limit
% 0.18/1.30 % (2804205)Termination phase: Saturation
% 0.18/1.30 % (2804205)Time elapsed: 0.069 s
% 0.18/1.30 % (2804205)Peak memory usage: 89 MB
% 0.18/1.30 % (2804205)Instructions burned: 118 (million)
% 0.18/1.30 % (2804214)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3912651799:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.18/1.30 % (2804213)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2834640961:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.30 % (2804213)Refutation not found, incomplete strategy
% 0.18/1.30 % (2804213)------------------------------
% 0.18/1.30 % (2804213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (2804213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (2804213)CaDiCaL version: 2.1.3
% 0.18/1.30 % (2804213)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.30 % (2804213)Time elapsed: 0.002 s
% 0.18/1.30 % (2804213)Peak memory usage: 88 MB
% 0.18/1.30 % (2804213)Instructions burned: 1 (million)
% 0.18/1.30 % (2804214)Also succeeded, but the first one will report.
% 0.18/1.30 % (2804204)Refutation found. Thanks to Tanya!
% 0.18/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.30 % (2804204)------------------------------
% 0.18/1.30 % (2804204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (2804204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (2804204)CaDiCaL version: 2.1.3
% 0.18/1.30 % (2804204)Termination reason: Refutation
% 0.18/1.30 % (2804204)Time elapsed: 0.016 s
% 0.18/1.30 % (2804204)Peak memory usage: 88 MB
% 0.18/1.30 % (2804204)Instructions burned: 23 (million)
% 0.18/1.30 % (2804204)------------------------------
% 0.18/1.30 % (2804204)------------------------------
% 0.18/1.30 % (2804194)Success in time 0.438 s
% 0.18/1.30 % Vampire exiting
%------------------------------------------------------------------------------