%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN007-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 10:19:16 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN001-0.ax',well_defined) ).
fof(f12,axiom,
! [X0] : quotient(X0,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ less_equal(X1,X2)
| ~ less_equal(X0,X1)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X0,X3,X4)
| ~ less_equal(X2,X3)
| ~ quotient(X0,X1,X2)
| less_equal(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f16,axiom,
less_equal(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy) ).
fof(f17,axiom,
quotient(z,y,zQy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQy) ).
fof(f18,axiom,
quotient(z,x,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQx) ).
fof(f19,negated_conjecture,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
fof(f21,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[],[f2,f12]) ).
fof(f67,plain,
! [X0] :
( ~ less_equal(X0,x)
| less_equal(X0,y) ),
inference(resolution,[],[f14,f16]) ).
fof(f71,plain,
! [X0] :
( ~ quotient(z,x,X0)
| zQx = X0 ),
inference(resolution,[],[f9,f18]) ).
fof(f80,plain,
! [X0,X1] :
( ~ quotient(z,X1,X0)
| ~ less_equal(X0,y)
| less_equal(zQy,X1) ),
inference(resolution,[],[f15,f17]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X2,X3,X0)
| ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),X3) ),
inference(resolution,[],[f15,f8]) ).
fof(f127,plain,
zQx = divide(z,x),
inference(resolution,[],[f71,f8]) ).
fof(f184,plain,
! [X0] :
( ~ less_equal(divide(z,X0),y)
| less_equal(zQy,X0) ),
inference(resolution,[],[f80,f8]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(resolution,[],[f86,f8]) ).
fof(f528,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f233,f21]) ).
fof(f698,plain,
less_equal(divide(z,zQx),x),
inference(superposition,[],[f528,f127]) ).
fof(f731,plain,
less_equal(divide(z,zQx),y),
inference(resolution,[],[f698,f67]) ).
fof(f747,plain,
less_equal(zQy,zQx),
inference(resolution,[],[f731,f184]) ).
fof(f762,plain,
$false,
inference(forward_subsumption_resolution,[],[f747,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN007-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:50:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (43957)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (43966)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=326074858:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (43963)% WARNING: option uhcvi not known.
% 0.10/0.46 % (43962)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1522945045_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (43964)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1020884335:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (43965)dis+10_1_sil=32000:sp=arity:random_seed=3408815112:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (43968)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3146542837:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (43967)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3623029996:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % (43963)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3930655736:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % TRYING [5]
% 0.10/0.46 % (43965) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-43957-43965"...
% 0.10/0.46 % (43965)...printing done.
% 0.10/0.46 % (43965)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.46 % (43965)------------------------------
% 0.35/0.46 % (43965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.46 % (43965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.46 % (43965)CaDiCaL version: 2.1.3
% 0.35/0.46 % (43965)Termination reason: Refutation
% 0.35/0.46 % (43965)Time elapsed: 0.016 s
% 0.35/0.46 % (43965)Peak memory usage: 11 MB
% 0.35/0.46 % (43965)Instructions burned: 21 (million)
% 0.35/0.46 % (43957)Success in time 0.057 s
% 0.35/0.46 % Vampire exiting
%------------------------------------------------------------------------------