%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN008-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 10:19:08 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.21s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 23 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f10,axiom,
! [X0] : divide(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f11,plain,
! [X0] : zero = divide(zero,X0),
inference(reorient_equations,[],[f10]) ).
fof(f14,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
fof(f15,negated_conjecture,
~ less_equal(divide(a,c),divide(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_c_LE_b_divide_c) ).
fof(f22,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f14]) ).
fof(f33,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f69,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f22]) ).
fof(f76,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f69,f11]) ).
fof(f118,plain,
! [X0] : zero = divide(divide(a,X0),divide(b,X0)),
inference(resolution,[],[f76,f33]) ).
fof(f317,plain,
! [X0] :
( zero != zero
| less_equal(divide(a,X0),divide(b,X0)) ),
inference(superposition,[],[f2,f118]) ).
fof(f335,plain,
! [X0] : less_equal(divide(a,X0),divide(b,X0)),
inference(trivial_inequality_removal,[],[f317]) ).
fof(f436,plain,
$false,
inference(resolution,[],[f335,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN008-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.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 10:50:37 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.17/1.21 % (44773)Input is clausal, will run a generic CNF schedule.
% 0.17/1.21 % (44778)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=1756495914:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.21 % (44779)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3008343580:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.21 % (44780)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3014788126:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.21 % (44782)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3477975495:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.21 % (44781)lrs+10_1_sil=8000:sp=occurrence:random_seed=3045507212:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.21 % (44784)dis-21_1_sil=8000:lcm=predicate:random_seed=2705525871: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)
% 0.17/1.21 % (44784)Refutation not found, incomplete strategy
% 0.17/1.21 % (44784)------------------------------
% 0.17/1.21 % (44784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.21 % (44784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.21 % (44784)CaDiCaL version: 2.1.3
% 0.17/1.21 % (44784)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.21 % (44784)Time elapsed: 0.001 s
% 0.17/1.21 % (44784)Peak memory usage: 88 MB
% 0.17/1.21 % (44781)First to succeed.
% 0.17/1.21 % (44781)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-44773"
% 0.17/1.21 % (44783)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3757003965:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.21 % (44783)Also succeeded, but the first one will report.
% 0.17/1.21 % (44782)Instruction limit reached!
% 0.17/1.21 % (44782)------------------------------
% 0.17/1.21 % (44782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.21 % (44782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.21 % (44782)CaDiCaL version: 2.1.3
% 0.17/1.21 % (44782)Termination reason: Instruction limit
% 0.17/1.21 % (44782)Termination phase: Saturation
% 0.17/1.21 % (44782)Time elapsed: 0.070 s
% 0.17/1.21 % (44782)Peak memory usage: 88 MB
% 0.17/1.21 % (44782)Instructions burned: 114 (million)
% 0.17/1.21 % (44792)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=2612320352:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.17/1.21 % (44792)Refutation not found, incomplete strategy
% 0.17/1.21 % (44792)------------------------------
% 0.17/1.21 % (44792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.21 % (44792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.21 % (44792)CaDiCaL version: 2.1.3
% 0.17/1.21 % (44792)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.21 % (44792)Time elapsed: 0.001 s
% 0.17/1.21 % (44792)Peak memory usage: 88 MB
% 0.17/1.21 % (44784)------------------------------
% 0.17/1.21 % (44784)------------------------------
% 0.17/1.21 % (44781)Refutation found. Thanks to Tanya!
% 0.17/1.21 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.21 % (44781)------------------------------
% 0.17/1.21 % (44781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.21 % (44781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.21 % (44781)CaDiCaL version: 2.1.3
% 0.17/1.21 % (44781)Termination reason: Refutation
% 0.17/1.21 % (44781)Time elapsed: 0.009 s
% 0.17/1.21 % (44781)Peak memory usage: 88 MB
% 0.17/1.21 % (44781)Instructions burned: 12 (million)
% 0.17/1.21 % (44781)------------------------------
% 0.17/1.21 % (44781)------------------------------
% 0.17/1.21 % (44773)Success in time 0.396 s
% 0.17/1.21 % Vampire exiting
%------------------------------------------------------------------------------