%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN003-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:19:04 AM UTC 2026
% Result : Unsatisfiable 3.51s 1.45s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 27 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( divide(X0,X1) = zero
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f8,negated_conjecture,
divide(a,a) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
fof(f9,plain,
zero != divide(a,a),
inference(reorient_equations,[],[f8]) ).
fof(f14,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f20,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(resolution,[],[f14,f2]) ).
fof(f21,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f14,f3]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X2),X1)
| less_equal(divide(divide(X0,X1),divide(X2,X1)),zero) ),
inference(superposition,[],[f4,f1]) ).
fof(f89,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(resolution,[],[f27,f3]) ).
fof(f109,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f89,f21]) ).
fof(f135,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f109,f14]) ).
fof(f216,plain,
! [X0] :
( zero != zero
| zero = divide(X0,X0) ),
inference(superposition,[],[f20,f135]) ).
fof(f234,plain,
! [X0] : zero = divide(X0,X0),
inference(trivial_inequality_removal,[],[f216]) ).
fof(f290,plain,
zero != zero,
inference(superposition,[],[f9,f234]) ).
fof(f291,plain,
$false,
inference(trivial_inequality_removal,[],[f290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN003-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:51:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.51/1.45 % (335581)Input is clausal, will run a generic CNF schedule.
% 3.51/1.45 % (335587)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2730467924:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.45 % (335592)dis-21_1_sil=8000:lcm=predicate:random_seed=618666651: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)
% 3.51/1.45 % (335592)Refutation not found, incomplete strategy
% 3.51/1.45 % (335592)------------------------------
% 3.51/1.45 % (335592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.45 % (335592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.45 % (335592)CaDiCaL version: 2.1.3
% 3.51/1.45 % (335592)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.45 % (335592)Time elapsed: 0.002 s
% 3.51/1.45 % (335592)Peak memory usage: 88 MB
% 3.51/1.45 % (335591)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1338230646:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.45 % (335590)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=629831082:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.45 % (335586)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=3146488451:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.45 % (335588)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1410459953:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.45 % (335589)lrs+10_1_sil=8000:sp=occurrence:random_seed=3168355323:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.45 % (335591)First to succeed.
% 3.51/1.45 % (335589)Also succeeded, but the first one will report.
% 3.51/1.45 % (335591)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-335581"
% 3.51/1.45 % (335590)Instruction limit reached!
% 3.51/1.45 % (335590)------------------------------
% 3.51/1.45 % (335590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.45 % (335590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.45 % (335590)CaDiCaL version: 2.1.3
% 3.51/1.45 % (335590)Termination reason: Instruction limit
% 3.51/1.45 % (335590)Termination phase: Saturation
% 3.51/1.45 % (335590)Time elapsed: 0.067 s
% 3.51/1.45 % (335590)Peak memory usage: 88 MB
% 3.51/1.45 % (335590)Instructions burned: 115 (million)
% 3.51/1.45 % (335600)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=941562143:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.51/1.45 % (335600)Refutation not found, incomplete strategy
% 3.51/1.45 % (335600)------------------------------
% 3.51/1.45 % (335600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.45 % (335600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.45 % (335600)CaDiCaL version: 2.1.3
% 3.51/1.45 % (335600)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.45 % (335600)Time elapsed: 0.001 s
% 3.51/1.45 % (335600)Peak memory usage: 87 MB
% 3.51/1.45 % (335592)------------------------------
% 3.51/1.45 % (335592)------------------------------
% 3.51/1.45 % (335591)Refutation found. Thanks to Tanya!
% 3.51/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.45 % (335591)------------------------------
% 3.51/1.45 % (335591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.45 % (335591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.45 % (335591)CaDiCaL version: 2.1.3
% 3.51/1.45 % (335591)Termination reason: Refutation
% 3.51/1.45 % (335591)Time elapsed: 0.007 s
% 3.51/1.45 % (335591)Peak memory usage: 88 MB
% 3.51/1.45 % (335591)Instructions burned: 9 (million)
% 3.51/1.45 % (335591)------------------------------
% 3.51/1.45 % (335591)------------------------------
% 3.51/1.45 % (335581)Success in time 0.412 s
% 3.51/1.45 % Vampire exiting
%------------------------------------------------------------------------------