%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 10:19:17 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 65 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 34 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X2,X3,X7)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X3,X5)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X1,X2)
| less_equal(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',closure) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X3)
| ~ quotient(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',well_defined) ).
fof(f11,axiom,
! [X0] : quotient(zero,X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f12,axiom,
! [X0] : quotient(X0,X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4] :
( ~ less_equal(X2,X3)
| ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| less_equal(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f17,axiom,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEb) ).
fof(f18,axiom,
quotient(a,c,aQc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aQc) ).
fof(f19,axiom,
quotient(b,c,bQc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bQc) ).
fof(f20,negated_conjecture,
~ less_equal(aQc,bQc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aQcLEbQc) ).
fof(f22,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[],[f2,f12]) ).
fof(f35,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f64,plain,
! [X0,X1] :
( ~ quotient(X0,zero,X1)
| X0 = X1 ),
inference(resolution,[],[f9,f13]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X2,X3)
| ~ quotient(X0,X1,X2)
| less_equal(X3,X1) ),
inference(resolution,[],[f22,f15]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X3,X0,zero)
| ~ quotient(X3,X1,X4)
| ~ quotient(X4,X2,X5)
| ~ quotient(X0,X1,X2)
| less_equal(X5,zero) ),
inference(resolution,[],[f4,f11]) ).
fof(f166,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f64,f8]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X5,X1,X3)
| ~ quotient(X2,X3,X4)
| ~ quotient(X0,X1,X2)
| less_equal(X4,zero)
| ~ less_equal(X0,X5) ),
inference(resolution,[],[f93,f1]) ).
fof(f447,plain,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(divide(X0,X2),X1) ),
inference(resolution,[],[f84,f8]) ).
fof(f679,plain,
! [X2,X0,X1] :
( ~ quotient(X0,bQc,X1)
| ~ quotient(X2,c,X0)
| less_equal(X1,zero)
| ~ less_equal(X2,b) ),
inference(resolution,[],[f225,f19]) ).
fof(f1115,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f447,f8]) ).
fof(f1584,plain,
! [X0,X1] :
( ~ quotient(X0,c,X1)
| less_equal(divide(X1,bQc),zero)
| ~ less_equal(X0,b) ),
inference(resolution,[],[f679,f8]) ).
fof(f3615,plain,
( less_equal(divide(aQc,bQc),zero)
| ~ less_equal(a,b) ),
inference(resolution,[],[f1584,f18]) ).
fof(f3627,plain,
less_equal(divide(aQc,bQc),zero),
inference(forward_subsumption_resolution,[],[f3615,f17]) ).
fof(f3687,plain,
zero = divide(aQc,bQc),
inference(resolution,[],[f3627,f35]) ).
fof(f3881,plain,
less_equal(divide(aQc,zero),bQc),
inference(superposition,[],[f1115,f3687]) ).
fof(f3887,plain,
less_equal(aQc,bQc),
inference(forward_demodulation,[],[f3881,f166]) ).
fof(f3907,plain,
$false,
inference(forward_subsumption_resolution,[],[f3887,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:53:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.17/0.56 % (3360256)Will run a generic schedule for satisfiability detection.
% 0.17/0.56 % (3360267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3097683415:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.56 % (3360262)% WARNING: option uhcvi not known.
% 0.17/0.56 % (3360261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4280761785_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.56 % (3360263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2206627584:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.56 % (3360265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1650502612:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.56 % (3360262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=30965955:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.56 % (3360266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1121813368:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.56 % (3360264)dis+10_1_sil=32000:sp=arity:random_seed=108791922:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % TRYING [5]
% 0.17/0.56 % TRYING [6]
% 0.17/0.56 % (3360267)Instruction limit reached!
% 0.17/0.56 % (3360267)------------------------------
% 0.17/0.56 % (3360267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (3360267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (3360267)CaDiCaL version: 2.1.3
% 0.17/0.56 % (3360267)Termination reason: Instruction limit
% 0.17/0.56 % (3360267)Termination phase: Saturation
% 0.17/0.56 % (3360267)Time elapsed: 0.054 s
% 0.17/0.56 % (3360267)Peak memory usage: 12 MB
% 0.17/0.56 % (3360267)Instructions burned: 160 (million)
% 0.17/0.56 % (3360275)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1519376603:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.56 % TRYING [1]
% 0.17/0.56 % TRYING [2]
% 0.17/0.56 % TRYING [3]
% 0.17/0.56 % TRYING [4]
% 0.17/0.56 % (3360265)Instruction limit reached!
% 0.17/0.56 % (3360265)------------------------------
% 0.17/0.56 % (3360265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (3360265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (3360265)CaDiCaL version: 2.1.3
% 0.17/0.56 % (3360265)Termination reason: Instruction limit
% 0.17/0.56 % (3360265)Termination phase: Saturation
% 0.17/0.56 % (3360265)Time elapsed: 0.064 s
% 0.17/0.56 % (3360265)Peak memory usage: 12 MB
% 0.17/0.56 % (3360265)Instructions burned: 116 (million)
% 0.17/0.56 % TRYING [5]
% 0.17/0.56 % (3360264)Instruction limit reached!
% 0.17/0.56 % (3360264)------------------------------
% 0.17/0.56 % (3360264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (3360264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (3360264)CaDiCaL version: 2.1.3
% 0.17/0.56 % (3360264)Termination reason: Instruction limit
% 0.17/0.56 % (3360264)Termination phase: Saturation
% 0.17/0.56 % (3360264)Time elapsed: 0.066 s
% 0.17/0.56 % (3360264)Peak memory usage: 12 MB
% 0.17/0.56 % (3360264)Instructions burned: 103 (million)
% 0.17/0.56 % TRYING [7]
% 0.17/0.56 % (3360266)Instruction limit reached!
% 0.17/0.56 % (3360266)------------------------------
% 0.17/0.56 % (3360266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (3360266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (3360266)CaDiCaL version: 2.1.3
% 0.17/0.56 % (3360266)Termination reason: Instruction limit
% 0.17/0.56 % (3360266)Termination phase: Saturation
% 0.17/0.56 % (3360266)Time elapsed: 0.079 s
% 0.17/0.56 % (3360266)Peak memory usage: 12 MB
% 0.17/0.56 % TRYING [6]
% 0.17/0.56 % (3360266)Instructions burned: 131 (million)
% 0.17/0.56 % (3360277)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=490012505:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.17/0.56 % (3360278)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=324137447:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.17/0.56 % (3360262) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3360256-3360262"...
% 0.17/0.56 % (3360262)...printing done.
% 0.17/0.56 % (3360262)Refutation found. Thanks to Tanya!
% 0.17/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.56 % (3360262)------------------------------
% 0.17/0.56 % (3360262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.56 % (3360262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.56 % (3360262)CaDiCaL version: 2.1.3
% 0.17/0.56 % (3360262)Termination reason: Refutation
% 0.17/0.56 % (3360262)Time elapsed: 0.096 s
% 0.17/0.56 % (3360262)Peak memory usage: 12 MB
% 0.17/0.56 % (3360262)Instructions burned: 144 (million)
% 0.17/0.56 % (3360256)Success in time 0.14 s
% 0.17/0.56 % Vampire exiting
%------------------------------------------------------------------------------