%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:20:15 AM UTC 2026
% Result : Unsatisfiable 3.73s 1.43s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 70 ( 26 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 59 ( 26 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : gt(plus(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X0] :
( gt(X0,minus(X0,n1))
| ~ gt(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f11,axiom,
! [X0,X1] :
( gt(X0,X1)
| ~ gt(plus(X0,n1),X1)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ gt(plus(X0,n1),X1)
| X0 = X1 ),
inference(reorient_equations,[],[f11]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X0,X1)
| ~ gt(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f18,axiom,
! [X0] :
( X0 = n0
| gt(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f19,plain,
! [X0] :
( gt(X0,n0)
| n0 = X0 ),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f24,axiom,
! [X0] : plus(n0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f29,axiom,
! [X0] :
( int_level(X0) != n0
| p_Empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f30,plain,
! [X0] :
( n0 != int_level(X0)
| p_Empty(X0) ),
inference(reorient_equations,[],[f29]) ).
fof(f90,axiom,
! [X0] :
( int_level(plus(X0,n1)) = minus(int_level(X0),n1)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(f113,negated_conjecture,
level(t_139) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,plain,
n1 = level(t_139),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f116,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f117,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f118,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f123,plain,
n1 = int_level(t_139),
inference(superposition,[],[f26,f114]) ).
fof(f126,plain,
gt(n1,n0),
inference(superposition,[],[f2,f24]) ).
fof(f132,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ gt(X1,X0) ),
inference(resolution,[],[f16,f22]) ).
fof(f138,plain,
! [X0] :
( ~ gt(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f132,f19]) ).
fof(f175,plain,
! [X0] :
( ~ gt(plus(n0,n1),X0)
| n0 = X0
| n0 = X0 ),
inference(resolution,[],[f12,f138]) ).
fof(f176,plain,
! [X0] :
( ~ gt(plus(n0,n1),X0)
| n0 = X0 ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f177,plain,
! [X0] :
( ~ gt(n1,X0)
| n0 = X0 ),
inference(forward_demodulation,[],[f176,f24]) ).
fof(f193,plain,
( n0 = minus(n1,n1)
| ~ gt(n1,n0) ),
inference(resolution,[],[f177,f3]) ).
fof(f194,plain,
n0 = minus(n1,n1),
inference(forward_subsumption_resolution,[],[f193,f126]) ).
fof(f763,plain,
( minus(n1,n1) = int_level(plus(t_139,n1))
| p_Wr(t_139)
| ~ p_Rd(t_139)
| ~ gt(n1,n0)
| p_Reset(t_139) ),
inference(superposition,[],[f90,f123]) ).
fof(f768,plain,
( minus(n1,n1) = int_level(plus(t_139,n1))
| ~ p_Rd(t_139)
| ~ gt(n1,n0)
| p_Reset(t_139) ),
inference(forward_subsumption_resolution,[],[f763,f115]) ).
fof(f769,plain,
( minus(n1,n1) = int_level(plus(t_139,n1))
| ~ gt(n1,n0)
| p_Reset(t_139) ),
inference(forward_subsumption_resolution,[],[f768,f116]) ).
fof(f770,plain,
( minus(n1,n1) = int_level(plus(t_139,n1))
| p_Reset(t_139) ),
inference(forward_subsumption_resolution,[],[f769,f126]) ).
fof(f771,plain,
minus(n1,n1) = int_level(plus(t_139,n1)),
inference(forward_subsumption_resolution,[],[f770,f117]) ).
fof(f772,plain,
n0 = int_level(plus(t_139,n1)),
inference(forward_demodulation,[],[f771,f194]) ).
fof(f776,plain,
( n0 != n0
| p_Empty(plus(t_139,n1)) ),
inference(superposition,[],[f30,f772]) ).
fof(f777,plain,
p_Empty(plus(t_139,n1)),
inference(trivial_inequality_removal,[],[f776]) ).
fof(f778,plain,
$false,
inference(forward_subsumption_resolution,[],[f777,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n001.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 11:03:30 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/1.43 % (3386935)Input is clausal, will run a generic CNF schedule.
% 3.73/1.43 % (3386942)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2058533243:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.43 % (3386943)lrs+10_1_sil=8000:sp=occurrence:random_seed=2447078607:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.43 % (3386944)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1715983708:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.43 % (3386945)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1348422905:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.43 % (3386940)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=3070800808:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.43 % (3386941)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3529969933:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.43 % (3386946)dis-21_1_sil=8000:lcm=predicate:random_seed=2259519133: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)
% 3.73/1.43 % (3386945)First to succeed.
% 3.73/1.43 % (3386945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3386935"
% 3.73/1.43 % (3386943)Instruction limit reached!
% 3.73/1.43 % (3386943)------------------------------
% 3.73/1.43 % (3386943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.43 % (3386943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.43 % (3386943)CaDiCaL version: 2.1.3
% 3.73/1.43 % (3386943)Termination reason: Instruction limit
% 3.73/1.43 % (3386943)Termination phase: Saturation
% 3.73/1.43 % (3386943)Time elapsed: 0.065 s
% 3.73/1.43 % (3386943)Peak memory usage: 87 MB
% 3.73/1.43 % (3386943)Instructions burned: 108 (million)
% 3.73/1.43 % (3386946)Instruction limit reached!
% 3.73/1.43 % (3386946)------------------------------
% 3.73/1.43 % (3386946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.43 % (3386946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.43 % (3386946)CaDiCaL version: 2.1.3
% 3.73/1.43 % (3386946)Termination reason: Instruction limit
% 3.73/1.43 % (3386946)Termination phase: Saturation
% 3.73/1.43 % (3386946)Time elapsed: 0.070 s
% 3.73/1.43 % (3386946)Peak memory usage: 88 MB
% 3.73/1.43 % (3386946)Instructions burned: 118 (million)
% 3.73/1.43 % (3386944)Instruction limit reached!
% 3.73/1.43 % (3386944)------------------------------
% 3.73/1.43 % (3386944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.43 % (3386944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.43 % (3386944)CaDiCaL version: 2.1.3
% 3.73/1.43 % (3386944)Termination reason: Instruction limit
% 3.73/1.43 % (3386944)Termination phase: Saturation
% 3.73/1.43 % (3386944)Time elapsed: 0.072 s
% 3.73/1.43 % (3386944)Peak memory usage: 88 MB
% 3.73/1.43 % (3386944)Instructions burned: 115 (million)
% 3.73/1.43 % (3386956)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1537085643:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.73/1.43 % (3386955)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1329668478: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)
% 3.73/1.43 % (3386954)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=3288795847:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.73/1.43 % (3386954)Refutation not found, incomplete strategy
% 3.73/1.43 % (3386954)------------------------------
% 3.73/1.43 % (3386954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.43 % (3386954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.43 % (3386954)CaDiCaL version: 2.1.3
% 3.73/1.43 % (3386954)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.43 % (3386954)Time elapsed: 0.002 s
% 3.73/1.43 % (3386954)Peak memory usage: 88 MB
% 3.73/1.43 % (3386954)Instructions burned: 1 (million)
% 3.73/1.43 % (3386955)Also succeeded, but the first one will report.
% 3.73/1.43 % (3386956)Also succeeded, but the first one will report.
% 3.73/1.43 % (3386945)Refutation found. Thanks to Tanya!
% 3.73/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.43 % (3386945)------------------------------
% 3.73/1.43 % (3386945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.43 % (3386945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.43 % (3386945)CaDiCaL version: 2.1.3
% 3.73/1.43 % (3386945)Termination reason: Refutation
% 3.73/1.43 % (3386945)Time elapsed: 0.019 s
% 3.73/1.43 % (3386945)Peak memory usage: 89 MB
% 3.73/1.43 % (3386945)Instructions burned: 25 (million)
% 3.73/1.43 % (3386945)------------------------------
% 3.73/1.43 % (3386945)------------------------------
% 3.73/1.43 % (3386935)Success in time 0.454 s
% 3.73/1.43 % Vampire exiting
%------------------------------------------------------------------------------