%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN010-6 : 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 : n014.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 10:19:19 AM UTC 2026
% Result : Unsatisfiable 0.77s 0.59s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 20 unt; 0 def)
% Number of atoms : 39 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.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/HEN002-0.ax',less_equal_and_equal) ).
fof(f12,axiom,
! [X0] : divide(X0,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f13,plain,
! [X0] : zero = divide(X0,X0),
inference(reorient_equations,[],[f12]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide2) ).
fof(f19,axiom,
! [X0] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_inversion_equals_three) ).
fof(f20,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_inversion) ).
fof(f37,plain,
! [X0] :
( zero != zero
| less_equal(X0,X0) ),
inference(superposition,[],[f2,f13]) ).
fof(f43,plain,
! [X0] : less_equal(X0,X0),
inference(trivial_inequality_removal,[],[f37]) ).
fof(f57,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f58,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f62,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f16,f43]) ).
fof(f79,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(X0,zero)),
inference(resolution,[],[f17,f5]) ).
fof(f141,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,X1),X1)),
inference(superposition,[],[f4,f13]) ).
fof(f336,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f62,f58]) ).
fof(f353,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1) ),
inference(resolution,[],[f141,f6]) ).
fof(f371,plain,
! [X0,X1] : divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1),
inference(forward_subsumption_resolution,[],[f353,f79]) ).
fof(f482,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f336]) ).
fof(f510,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f482]) ).
fof(f525,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f510,f57]) ).
fof(f568,plain,
! [X0,X1] : divide(X0,X1) = divide(divide(X0,X1),X1),
inference(backward_demodulation,[],[f371,f525]) ).
fof(f1221,plain,
! [X0] : divide(identity,X0) = divide(divide(identity,X0),divide(identity,divide(identity,X0))),
inference(superposition,[],[f568,f20]) ).
fof(f1279,plain,
divide(identity,a) != divide(identity,a),
inference(backward_demodulation,[],[f21,f1221]) ).
fof(f1282,plain,
$false,
inference(trivial_inequality_removal,[],[f1279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN010-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:51:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.77/0.59 % (618961)Will run a generic schedule for satisfiability detection.
% 0.77/0.59 % (618969)dis+10_1_sil=32000:sp=arity:random_seed=1195230503:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.77/0.59 % (618967)% WARNING: option uhcvi not known.
% 0.77/0.59 % (618966)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1784887864_2999 on theBenchmark for (2999ds/0Mi)
% 0.77/0.59 % (618967)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1916685923:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.77/0.59 % (618968)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3321332207:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.77/0.59 % (618970)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3614185033:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.77/0.59 % (618972)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2499557244:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.77/0.59 % (618971)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1911246366:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.77/0.59 % TRYING [1]
% 0.77/0.59 % TRYING [2]
% 0.77/0.59 % TRYING [3]
% 0.77/0.59 % TRYING [4]
% 0.77/0.59 % TRYING [5]
% 0.77/0.59 % (618969)Instruction limit reached!
% 0.77/0.59 % (618969)------------------------------
% 0.77/0.59 % (618969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.59 % (618969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.59 % (618969)CaDiCaL version: 2.1.3
% 0.77/0.59 % (618969)Termination reason: Instruction limit
% 0.77/0.59 % (618969)Termination phase: Saturation
% 0.77/0.59 % (618969)Time elapsed: 0.033 s
% 0.77/0.59 % (618969)Peak memory usage: 12 MB
% 0.77/0.59 % (618969)Instructions burned: 107 (million)
% 0.77/0.59 % TRYING [6]
% 0.77/0.59 % (618980)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1777302486:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.77/0.59 % TRYING [1]
% 0.77/0.59 % TRYING [2]
% 0.77/0.59 % TRYING [3]
% 0.77/0.59 % TRYING [4]
% 0.77/0.59 % TRYING [5]
% 0.77/0.59 % TRYING [6]
% 0.77/0.59 % (618970)Instruction limit reached!
% 0.77/0.59 % (618970)------------------------------
% 0.77/0.59 % (618970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.59 % (618970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.59 % (618970)CaDiCaL version: 2.1.3
% 0.77/0.59 % (618970)Termination reason: Instruction limit
% 0.77/0.59 % (618970)Termination phase: Saturation
% 0.77/0.59 % (618970)Time elapsed: 0.072 s
% 0.77/0.59 % (618970)Peak memory usage: 12 MB
% 0.77/0.59 % (618970)Instructions burned: 117 (million)
% 0.77/0.59 % TRYING [7]
% 0.77/0.59 % (618971)Instruction limit reached!
% 0.77/0.59 % (618971)------------------------------
% 0.77/0.59 % (618971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.59 % (618971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.59 % (618971)CaDiCaL version: 2.1.3
% 0.77/0.59 % (618971)Termination reason: Instruction limit
% 0.77/0.59 % (618971)Termination phase: Saturation
% 0.77/0.59 % (618971)Time elapsed: 0.079 s
% 0.77/0.59 % (618971)Peak memory usage: 12 MB
% 0.77/0.59 % (618971)Instructions burned: 133 (million)
% 0.77/0.59 % TRYING [7]
% 0.77/0.59 % (618982)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1574573756:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.77/0.59 % (618983)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=3937365889:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.77/0.59 % (618972)Instruction limit reached!
% 0.77/0.59 % (618972)------------------------------
% 0.77/0.59 % (618972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.59 % (618972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.59 % (618972)CaDiCaL version: 2.1.3
% 0.77/0.59 % (618972)Termination reason: Instruction limit
% 0.77/0.59 % (618972)Termination phase: Saturation
% 0.77/0.59 % (618972)Time elapsed: 0.102 s
% 0.77/0.59 % (618972)Peak memory usage: 12 MB
% 0.77/0.59 % (618972)Instructions burned: 159 (million)
% 0.77/0.59 % (618982) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-618961-618982"...
% 0.77/0.59 % (618986)ott-21_1_sil=16000:fs=off:random_seed=119409392:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.77/0.59 % (618982)...printing done.
% 0.77/0.59 % (618982)Refutation found. Thanks to Tanya!
% 0.77/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.77/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.77/0.59 % (618982)------------------------------
% 0.77/0.59 % (618982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.59 % (618982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.59 % (618982)CaDiCaL version: 2.1.3
% 0.77/0.59 % (618982)Termination reason: Refutation
% 0.77/0.59 % (618982)Time elapsed: 0.029 s
% 0.77/0.59 % (618982)Peak memory usage: 12 MB
% 0.77/0.59 % (618982)Instructions burned: 41 (million)
% 0.77/0.59 % (618961)Success in time 0.169 s
% 0.77/0.59 % Vampire exiting
%------------------------------------------------------------------------------