%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN010-6 : 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 : n007.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 10:19:10 AM UTC 2026
% Result : Unsatisfiable 6.60s 1.95s
% Output : Refutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 24 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f12,axiom,
! [X0] : divide(X0,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f13,plain,
! [X0] : zero = divide(X0,X0),
inference(reorient_equations,[],[f12]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),divide(X1,X2))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f19,axiom,
! [X0] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_property_of_inversion) ).
fof(f33,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(unit_resulting_resolution,[],[f18,f7]) ).
fof(f86,plain,
! [X0,X1] : less_equal(divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),zero),
inference(superposition,[],[f4,f13]) ).
fof(f517,plain,
! [X0,X1] : zero = divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),
inference(unit_resulting_resolution,[],[f6,f5,f86]) ).
fof(f829,plain,
! [X0,X1] :
( zero != zero
| less_equal(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) ),
inference(superposition,[],[f2,f517]) ).
fof(f851,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))),
inference(trivial_inequality_removal,[],[f829]) ).
fof(f878,plain,
! [X0] : divide(identity,divide(identity,X0)) = divide(X0,divide(identity,X0)),
inference(unit_resulting_resolution,[],[f6,f33,f851]) ).
fof(f1054,plain,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
inference(superposition,[],[f21,f878]) ).
fof(f1066,plain,
$false,
inference(forward_subsumption_resolution,[],[f1054,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN010-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.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 10:49:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.60/1.95 % (1236130)Input is clausal, will run a generic CNF schedule.
% 6.60/1.95 % (1236226)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3334062485:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.60/1.95 % (1236228)lrs+10_1_sil=8000:sp=occurrence:random_seed=1176943001:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.60/1.95 % (1236227)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3064900110:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.60/1.95 % (1236225)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=1557436635:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.60/1.95 % (1236230)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2369355906:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.60/1.95 % (1236231)dis-21_1_sil=8000:lcm=predicate:random_seed=3487936710: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)
% 6.60/1.95 % (1236229)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1208557729:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.60/1.95 % (1236231)Instruction limit reached!
% 6.60/1.95 % (1236231)------------------------------
% 6.60/1.95 % (1236231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236231)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236231)Termination reason: Instruction limit
% 6.60/1.95 % (1236231)Termination phase: Saturation
% 6.60/1.95 % (1236231)Time elapsed: 0.059 s
% 6.60/1.95 % (1236231)Peak memory usage: 88 MB
% 6.60/1.95 % (1236231)Instructions burned: 119 (million)
% 6.60/1.95 % (1236228)Instruction limit reached!
% 6.60/1.95 % (1236228)------------------------------
% 6.60/1.95 % (1236228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236228)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236228)Termination reason: Instruction limit
% 6.60/1.95 % (1236228)Termination phase: Saturation
% 6.60/1.95 % (1236228)Time elapsed: 0.068 s
% 6.60/1.95 % (1236228)Peak memory usage: 88 MB
% 6.60/1.95 % (1236228)Instructions burned: 108 (million)
% 6.60/1.95 % (1236229)Instruction limit reached!
% 6.60/1.95 % (1236229)------------------------------
% 6.60/1.95 % (1236229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236229)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236229)Termination reason: Instruction limit
% 6.60/1.95 % (1236229)Termination phase: Saturation
% 6.60/1.95 % (1236229)Time elapsed: 0.071 s
% 6.60/1.95 % (1236229)Peak memory usage: 88 MB
% 6.60/1.95 % (1236229)Instructions burned: 115 (million)
% 6.60/1.95 % (1236230)Instruction limit reached!
% 6.60/1.95 % (1236230)------------------------------
% 6.60/1.95 % (1236230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236230)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236230)Termination reason: Instruction limit
% 6.60/1.95 % (1236230)Termination phase: Saturation
% 6.60/1.95 % (1236230)Time elapsed: 0.109 s
% 6.60/1.95 % (1236230)Peak memory usage: 89 MB
% 6.60/1.95 % (1236230)Instructions burned: 181 (million)
% 6.60/1.95 % (1236251)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2973427793:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.60/1.95 % (1236250)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=2915652234:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.60/1.95 % (1236250)Refutation not found, incomplete strategy
% 6.60/1.95 % (1236250)------------------------------
% 6.60/1.95 % (1236250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236250)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236250)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.95 % (1236250)Time elapsed: 0.003 s
% 6.60/1.95 % (1236250)Peak memory usage: 88 MB
% 6.60/1.95 % (1236250)Instructions burned: 1 (million)
% 6.60/1.95 % (1236252)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=656138077:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.60/1.95 % (1236252)Refutation not found, incomplete strategy
% 6.60/1.95 % (1236252)------------------------------
% 6.60/1.95 % (1236252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236252)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236252)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.95 % (1236252)Time elapsed: 0.003 s
% 6.60/1.95 % (1236252)Peak memory usage: 88 MB
% 6.60/1.95 % (1236252)Instructions burned: 3 (million)
% 6.60/1.95 % (1236253)lrs+10_64_to=lpo:sil=8000:random_seed=1536429257:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.60/1.95 % (1236253)Instruction limit reached!
% 6.60/1.95 % (1236253)------------------------------
% 6.60/1.95 % (1236253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236253)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236253)Termination reason: Instruction limit
% 6.60/1.95 % (1236253)Termination phase: Saturation
% 6.60/1.95 % (1236253)Time elapsed: 0.070 s
% 6.60/1.95 % (1236253)Peak memory usage: 88 MB
% 6.60/1.95 % (1236253)Instructions burned: 128 (million)
% 6.60/1.95 % (1236251)Instruction limit reached!
% 6.60/1.95 % (1236251)------------------------------
% 6.60/1.95 % (1236251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236251)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236251)Termination reason: Instruction limit
% 6.60/1.95 % (1236251)Termination phase: Saturation
% 6.60/1.95 % (1236251)Time elapsed: 0.118 s
% 6.60/1.95 % (1236251)Peak memory usage: 90 MB
% 6.60/1.95 % (1236251)Instructions burned: 189 (million)
% 6.60/1.95 % (1236226)First to succeed.
% 6.60/1.95 % (1236250)------------------------------
% 6.60/1.95 % (1236250)------------------------------
% 6.60/1.95 % (1236226)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1236130"
% 6.60/1.95 % (1236252)------------------------------
% 6.60/1.95 % (1236252)------------------------------
% 6.60/1.95 % (1236271)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2288367233:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.60/1.95 % (1236272)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2228087602:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.60/1.95 % (1236271)Also succeeded, but the first one will report.
% 6.60/1.95 % (1236272)Also succeeded, but the first one will report.
% 6.60/1.95 % (1236273)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4282267290:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.60/1.95 % (1236225)Also succeeded, but the first one will report.
% 6.60/1.95 % (1236275)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4249561064:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.60/1.95 % (1236227)Also succeeded, but the first one will report.
% 6.60/1.95 % (1236226)Refutation found. Thanks to Tanya!
% 6.60/1.95 % SZS status Unsatisfiable for theBenchmark
% 6.60/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 6.60/1.95 % (1236226)------------------------------
% 6.60/1.95 % (1236226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.95 % (1236226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.95 % (1236226)CaDiCaL version: 2.1.3
% 6.60/1.95 % (1236226)Termination reason: Refutation
% 6.60/1.95 % (1236226)Time elapsed: 0.457 s
% 6.60/1.95 % (1236226)Peak memory usage: 129 MB
% 6.60/1.95 % (1236226)Instructions burned: 987 (million)
% 6.60/1.95 % (1236226)------------------------------
% 6.60/1.95 % (1236226)------------------------------
% 6.60/1.95 % (1236130)Success in time 0.853 s
% 6.60/1.95 % Vampire exiting
%------------------------------------------------------------------------------