%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN007-5 : 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 : n018.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 10:19:07 AM UTC 2026
% Result : Unsatisfiable 4.15s 1.55s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 20 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f2,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f3,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0] : divide(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f5,plain,
! [X0] : zero = divide(zero,X0),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f7,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| zero != divide(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f6]) ).
fof(f12,axiom,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
fof(f13,plain,
zero = divide(a,b),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_divide2) ).
fof(f15,plain,
zero != divide(divide(c,b),divide(c,a)),
inference(reorient_equations,[],[f14]) ).
fof(f22,plain,
! [X0] :
( zero != zero
| zero != divide(X0,zero)
| zero = X0 ),
inference(superposition,[],[f7,f5]) ).
fof(f25,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(trivial_inequality_removal,[],[f22]) ).
fof(f46,plain,
! [X0] : zero = divide(divide(divide(X0,b),zero),divide(divide(X0,a),b)),
inference(superposition,[],[f3,f13]) ).
fof(f49,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2)),
inference(superposition,[],[f3,f1]) ).
fof(f56,plain,
! [X2,X0,X1] :
( zero != zero
| zero != divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1)))
| divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),X1) ),
inference(superposition,[],[f7,f3]) ).
fof(f58,plain,
! [X2,X0,X1] :
( zero != divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1)))
| divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),X1) ),
inference(trivial_inequality_removal,[],[f56]) ).
fof(f62,plain,
! [X2,X0,X1] : zero = divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero),
inference(forward_demodulation,[],[f49,f5]) ).
fof(f470,plain,
! [X2,X0,X1] :
( zero != zero
| zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)) ),
inference(superposition,[],[f25,f62]) ).
fof(f485,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(trivial_inequality_removal,[],[f470]) ).
fof(f1797,plain,
! [X0] :
( zero != divide(zero,divide(divide(divide(X0,b),divide(divide(X0,a),b)),divide(zero,divide(divide(X0,a),b))))
| zero = divide(divide(divide(X0,b),divide(divide(X0,a),b)),divide(zero,divide(divide(X0,a),b))) ),
inference(superposition,[],[f58,f46]) ).
fof(f1911,plain,
! [X0] : zero = divide(divide(divide(X0,b),divide(divide(X0,a),b)),divide(zero,divide(divide(X0,a),b))),
inference(forward_subsumption_resolution,[],[f1797,f5]) ).
fof(f1974,plain,
! [X0] : zero = divide(divide(divide(X0,b),divide(divide(X0,a),b)),zero),
inference(forward_demodulation,[],[f1911,f5]) ).
fof(f3018,plain,
! [X0] :
( zero != zero
| zero = divide(divide(X0,b),divide(divide(X0,a),b)) ),
inference(superposition,[],[f25,f1974]) ).
fof(f3054,plain,
! [X0] : zero = divide(divide(X0,b),divide(divide(X0,a),b)),
inference(trivial_inequality_removal,[],[f3018]) ).
fof(f4180,plain,
! [X0] :
( zero != zero
| zero != divide(divide(divide(X0,a),b),divide(X0,b))
| divide(X0,b) = divide(divide(X0,a),b) ),
inference(superposition,[],[f7,f3054]) ).
fof(f4215,plain,
! [X0] :
( zero != divide(divide(divide(X0,a),b),divide(X0,b))
| divide(X0,b) = divide(divide(X0,a),b) ),
inference(trivial_inequality_removal,[],[f4180]) ).
fof(f4232,plain,
! [X0] : divide(X0,b) = divide(divide(X0,a),b),
inference(forward_subsumption_resolution,[],[f4215,f485]) ).
fof(f4287,plain,
! [X0] : zero = divide(divide(X0,b),divide(X0,a)),
inference(superposition,[],[f1,f4232]) ).
fof(f4345,plain,
zero != zero,
inference(superposition,[],[f15,f4287]) ).
fof(f4403,plain,
$false,
inference(trivial_inequality_removal,[],[f4345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:53:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.15/1.55 % (2156945)Input is clausal, will run a generic CNF schedule.
% 4.15/1.55 % (2156954)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=393301506:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.15/1.55 % (2156956)dis-21_1_sil=8000:lcm=predicate:random_seed=3332123550: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)
% 4.15/1.55 % (2156953)lrs+10_1_sil=8000:sp=occurrence:random_seed=112525297:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.15/1.55 % (2156951)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4034793046:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.15/1.55 % (2156950)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=2385592598:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.15/1.55 % (2156952)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3459873812:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.15/1.55 % (2156954)Instruction limit reached!
% 4.15/1.55 % (2156954)------------------------------
% 4.15/1.55 % (2156954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55 % (2156954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55 % (2156954)CaDiCaL version: 2.1.3
% 4.15/1.55 % (2156954)Termination reason: Instruction limit
% 4.15/1.55 % (2156954)Termination phase: Saturation
% 4.15/1.55 % (2156954)Time elapsed: 0.038 s
% 4.15/1.55 % (2156954)Peak memory usage: 89 MB
% 4.15/1.55 % (2156954)Instructions burned: 117 (million)
% 4.15/1.55 % (2156955)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1294399074:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.15/1.55 % (2156953)Instruction limit reached!
% 4.15/1.55 % (2156953)------------------------------
% 4.15/1.55 % (2156953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55 % (2156953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55 % (2156953)CaDiCaL version: 2.1.3
% 4.15/1.55 % (2156953)Termination reason: Instruction limit
% 4.15/1.55 % (2156953)Termination phase: Saturation
% 4.15/1.55 % (2156953)Time elapsed: 0.061 s
% 4.15/1.55 % (2156953)Peak memory usage: 88 MB
% 4.15/1.55 % (2156953)Instructions burned: 108 (million)
% 4.15/1.55 % (2156956)Instruction limit reached!
% 4.15/1.55 % (2156956)------------------------------
% 4.15/1.55 % (2156956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55 % (2156956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55 % (2156956)CaDiCaL version: 2.1.3
% 4.15/1.55 % (2156956)Termination reason: Instruction limit
% 4.15/1.55 % (2156956)Termination phase: Saturation
% 4.15/1.55 % (2156956)Time elapsed: 0.076 s
% 4.15/1.55 % (2156956)Peak memory usage: 88 MB
% 4.15/1.55 % (2156956)Instructions burned: 118 (million)
% 4.15/1.55 % (2156955)First to succeed.
% 4.15/1.55 % (2156964)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=1208193977:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.15/1.55 % (2156955)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2156945"
% 4.15/1.55 % (2156964)Also succeeded, but the first one will report.
% 4.15/1.55 % (2156965)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1424845107: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)
% 4.15/1.55 % (2156966)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3547197370:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.15/1.55 % (2156965)Instruction limit reached!
% 4.15/1.55 % (2156965)------------------------------
% 4.15/1.55 % (2156965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55 % (2156965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55 % (2156965)CaDiCaL version: 2.1.3
% 4.15/1.55 % (2156965)Termination reason: Instruction limit
% 4.15/1.55 % (2156965)Termination phase: Saturation
% 4.15/1.55 % (2156965)Time elapsed: 0.113 s
% 4.15/1.55 % (2156965)Peak memory usage: 90 MB
% 4.15/1.55 % (2156965)Instructions burned: 189 (million)
% 4.15/1.55 % (2156966)Instruction limit reached!
% 4.15/1.55 % (2156966)------------------------------
% 4.15/1.55 % (2156966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55 % (2156966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55 % (2156966)CaDiCaL version: 2.1.3
% 4.15/1.55 % (2156966)Termination reason: Instruction limit
% 4.15/1.55 % (2156966)Termination phase: Saturation
% 4.15/1.55 % (2156966)Time elapsed: 0.127 s
% 4.15/1.55 % (2156966)Peak memory usage: 89 MB
% 4.15/1.55 % (2156966)Instructions burned: 220 (million)
% 4.15/1.55 % (2156955)Refutation found. Thanks to Tanya!
% 4.15/1.55 % SZS status Unsatisfiable for theBenchmark
% 4.15/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.55 % (2156955)------------------------------
% 4.15/1.55 % (2156955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55 % (2156955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55 % (2156955)CaDiCaL version: 2.1.3
% 4.15/1.55 % (2156955)Termination reason: Refutation
% 4.15/1.55 % (2156955)Time elapsed: 0.094 s
% 4.15/1.55 % (2156955)Peak memory usage: 90 MB
% 4.15/1.55 % (2156955)Instructions burned: 163 (million)
% 4.15/1.55 % (2156955)------------------------------
% 4.15/1.55 % (2156955)------------------------------
% 4.15/1.55 % (2156945)Success in time 0.5 s
% 4.15/1.55 % Vampire exiting
%------------------------------------------------------------------------------