%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV018-1 : 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 : n001.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 10:20:14 AM UTC 2026
% Result : Unsatisfiable 3.43s 1.44s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 14 unt; 2 def)
% Number of atoms : 83 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 20 ~; 43 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f27,axiom,
! [X0] :
( int_level(X0) != fifo_length
| p_Full(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f28,axiom,
! [X0] :
( ~ p_Full(X0)
| int_level(X0) = fifo_length ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f55,axiom,
! [X0] :
( p_Wr_error(plus(X0,n1))
| ~ p_Wr(X0)
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f57,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| int_level(plus(X0,n1)) = int_level(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f58,plain,
! [X0] :
( gt(fifo_length,int_level(X0))
| ~ p_Wr(X0)
| p_Rd(X0)
| p_Reset(X0)
| int_level(X0) = int_level(plus(X0,n1)) ),
inference(reorient_equations,[],[f57]) ).
fof(f113,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
p_Full(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f117,negated_conjecture,
( ~ p_Full(plus(t_139,n1))
| ~ p_Wr_error(plus(t_139,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f122,definition,
( spl0_1
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f124,plain,
( ~ p_Wr_error(plus(t_139,n1))
| spl0_1 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f126,definition,
( spl0_2
<=> p_Full(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f128,plain,
( ~ p_Full(plus(t_139,n1))
| spl0_2 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f117,f126,f122]) ).
fof(f130,plain,
fifo_length = int_level(t_139),
inference(resolution,[],[f28,f115]) ).
fof(f160,plain,
( ~ p_Wr(t_139)
| p_Rd(t_139)
| gt(fifo_length,int_level(t_139))
| p_Reset(t_139)
| spl0_1 ),
inference(resolution,[],[f55,f124]) ).
fof(f167,plain,
( p_Rd(t_139)
| gt(fifo_length,int_level(t_139))
| p_Reset(t_139)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f160,f114]) ).
fof(f168,plain,
( gt(fifo_length,int_level(t_139))
| p_Reset(t_139)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f167,f113]) ).
fof(f169,plain,
( gt(fifo_length,int_level(t_139))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f168,f116]) ).
fof(f170,plain,
( gt(fifo_length,fifo_length)
| spl0_1 ),
inference(forward_demodulation,[],[f169,f130]) ).
fof(f171,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f170,f22]) ).
fof(f172,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f186,plain,
( gt(fifo_length,fifo_length)
| ~ p_Wr(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| fifo_length = int_level(plus(t_139,n1)) ),
inference(superposition,[],[f58,f130]) ).
fof(f187,plain,
( ~ p_Wr(t_139)
| p_Rd(t_139)
| p_Reset(t_139)
| fifo_length = int_level(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f186,f22]) ).
fof(f190,plain,
( p_Rd(t_139)
| p_Reset(t_139)
| fifo_length = int_level(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f187,f114]) ).
fof(f191,plain,
( p_Reset(t_139)
| fifo_length = int_level(plus(t_139,n1)) ),
inference(forward_subsumption_resolution,[],[f190,f113]) ).
fof(f192,plain,
fifo_length = int_level(plus(t_139,n1)),
inference(forward_subsumption_resolution,[],[f191,f116]) ).
fof(f194,plain,
( fifo_length != fifo_length
| p_Full(plus(t_139,n1)) ),
inference(superposition,[],[f27,f192]) ).
fof(f195,plain,
p_Full(plus(t_139,n1)),
inference(trivial_inequality_removal,[],[f194]) ).
fof(f196,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f195,f128]) ).
fof(f197,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f196]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f129]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f172]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f197]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f216,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV018-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 11:01:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.43/1.44 % (3386108)Input is clausal, will run a generic CNF schedule.
% 3.43/1.44 % (3386115)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1366332538:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.43/1.44 % (3386116)lrs+10_1_sil=8000:sp=occurrence:random_seed=1976758181:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.43/1.44 % (3386118)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1413431399:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.43/1.44 % (3386116)First to succeed.
% 3.43/1.44 % (3386116)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3386108"
% 3.43/1.44 % (3386113)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=920846920:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.43/1.44 % (3386114)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3003908068:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.43/1.44 % (3386118)Also succeeded, but the first one will report.
% 3.43/1.44 % (3386117)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4030034073:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.43/1.44 % (3386119)dis-21_1_sil=8000:lcm=predicate:random_seed=3817221081: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)
% 3.43/1.44 % (3386117)Also succeeded, but the first one will report.
% 3.43/1.44 % (3386119)Instruction limit reached!
% 3.43/1.44 % (3386119)------------------------------
% 3.43/1.44 % (3386119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.44 % (3386119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.44 % (3386119)CaDiCaL version: 2.1.3
% 3.43/1.44 % (3386119)Termination reason: Instruction limit
% 3.43/1.44 % (3386119)Termination phase: Saturation
% 3.43/1.44 % (3386119)Time elapsed: 0.072 s
% 3.43/1.44 % (3386119)Peak memory usage: 88 MB
% 3.43/1.44 % (3386119)Instructions burned: 117 (million)
% 3.43/1.44 % (3386127)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=1211000314:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.43/1.44 % (3386127)Refutation not found, incomplete strategy
% 3.43/1.44 % (3386127)------------------------------
% 3.43/1.44 % (3386127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.44 % (3386127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.44 % (3386127)CaDiCaL version: 2.1.3
% 3.43/1.44 % (3386127)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.44 % (3386127)Time elapsed: 0.002 s
% 3.43/1.44 % (3386127)Peak memory usage: 88 MB
% 3.43/1.44 % (3386127)Instructions burned: 1 (million)
% 3.43/1.44 % (3386116)Refutation found. Thanks to Tanya!
% 3.43/1.44 % SZS status Unsatisfiable for theBenchmark
% 3.43/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.44 % (3386116)------------------------------
% 3.43/1.44 % (3386116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.44 % (3386116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.44 % (3386116)CaDiCaL version: 2.1.3
% 3.43/1.44 % (3386116)Termination reason: Refutation
% 3.43/1.44 % (3386116)Time elapsed: 0.005 s
% 3.43/1.44 % (3386116)Peak memory usage: 89 MB
% 3.43/1.44 % (3386116)Instructions burned: 4 (million)
% 3.43/1.44 % (3386116)------------------------------
% 3.43/1.44 % (3386116)------------------------------
% 3.43/1.44 % (3386108)Success in time 0.403 s
% 3.43/1.44 % Vampire exiting
%------------------------------------------------------------------------------