%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN008-2 : 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 : n026.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 5.82s 1.87s
% Output : Refutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X3,X5)
| ~ quotient(X0,X1,X2)
| ~ quotient(X2,X3,X7)
| less_equal(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
fof(f11,axiom,
! [X0] : quotient(zero,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
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(f17,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLEb) ).
fof(f18,axiom,
quotient(a,c,aQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aQc) ).
fof(f19,axiom,
quotient(b,c,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bQc) ).
fof(f20,negated_conjecture,
~ less_equal(aQc,bQc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aQcLEbQc) ).
fof(f48,plain,
~ less_equal(divide(aQc,bQc),zero),
inference(unit_resulting_resolution,[],[f15,f13,f8,f20]) ).
fof(f55,plain,
quotient(a,b,zero),
inference(unit_resulting_resolution,[],[f1,f17]) ).
fof(f3263,plain,
~ quotient(a,b,zero),
inference(unit_resulting_resolution,[],[f4,f19,f11,f18,f8,f48]) ).
fof(f3383,plain,
$false,
inference(forward_subsumption_resolution,[],[f3263,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n026.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:53:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 5.82/1.87 % (2659462)Input is clausal, will run a generic CNF schedule.
% 5.82/1.87 % (2659539)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3073077711:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.82/1.87 % (2659537)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=877222183:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.82/1.87 % (2659543)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2065090550:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.82/1.87 % (2659542)lrs+10_1_sil=8000:sp=occurrence:random_seed=1606488414:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.82/1.87 % (2659541)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4058922002:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.82/1.87 % (2659542)Refutation not found, incomplete strategy
% 5.82/1.87 % (2659542)------------------------------
% 5.82/1.87 % (2659542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659542)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659542)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.87 % (2659542)Time elapsed: 0.002 s
% 5.82/1.87 % (2659542)Peak memory usage: 88 MB
% 5.82/1.87 % (2659542)Instructions burned: 1 (million)
% 5.82/1.87 % (2659545)dis-21_1_sil=8000:lcm=predicate:random_seed=2734956405: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)
% 5.82/1.87 % (2659544)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2077116829:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.82/1.87 % (2659543)Instruction limit reached!
% 5.82/1.87 % (2659543)------------------------------
% 5.82/1.87 % (2659543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659543)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659543)Termination reason: Instruction limit
% 5.82/1.87 % (2659543)Termination phase: Saturation
% 5.82/1.87 % (2659543)Time elapsed: 0.048 s
% 5.82/1.87 % (2659543)Peak memory usage: 88 MB
% 5.82/1.87 % (2659543)Instructions burned: 116 (million)
% 5.82/1.87 % (2659545)Instruction limit reached!
% 5.82/1.87 % (2659545)------------------------------
% 5.82/1.87 % (2659545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659545)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659545)Termination reason: Instruction limit
% 5.82/1.87 % (2659545)Termination phase: Saturation
% 5.82/1.87 % (2659545)Time elapsed: 0.064 s
% 5.82/1.87 % (2659545)Peak memory usage: 88 MB
% 5.82/1.87 % (2659545)Instructions burned: 118 (million)
% 5.82/1.87 % (2659562)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=3842998205:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.82/1.87 % (2659544)Instruction limit reached!
% 5.82/1.87 % (2659544)------------------------------
% 5.82/1.87 % (2659544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659544)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659544)Termination reason: Instruction limit
% 5.82/1.87 % (2659544)Termination phase: Saturation
% 5.82/1.87 % (2659544)Time elapsed: 0.166 s
% 5.82/1.87 % (2659544)Peak memory usage: 89 MB
% 5.82/1.87 % (2659544)Instructions burned: 182 (million)
% 5.82/1.87 % (2659563)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2411500876: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)
% 5.82/1.87 % (2659542)------------------------------
% 5.82/1.87 % (2659542)------------------------------
% 5.82/1.87 % (2659562)Instruction limit reached!
% 5.82/1.87 % (2659562)------------------------------
% 5.82/1.87 % (2659562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659562)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659562)Termination reason: Instruction limit
% 5.82/1.87 % (2659562)Termination phase: Saturation
% 5.82/1.87 % (2659562)Time elapsed: 0.086 s
% 5.82/1.87 % (2659562)Peak memory usage: 89 MB
% 5.82/1.87 % (2659562)Instructions burned: 143 (million)
% 5.82/1.87 % (2659563)First to succeed.
% 5.82/1.87 % (2659563)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2659462"
% 5.82/1.87 % (2659539)Also succeeded, but the first one will report.
% 5.82/1.87 % (2659566)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2813312374:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.82/1.87 % (2659567)lrs+10_64_to=lpo:sil=8000:random_seed=3067395578:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.82/1.87 % (2659568)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1486096618:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.82/1.87 % (2659566)Instruction limit reached!
% 5.82/1.87 % (2659566)------------------------------
% 5.82/1.87 % (2659566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659566)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659566)Termination reason: Instruction limit
% 5.82/1.87 % (2659566)Termination phase: Saturation
% 5.82/1.87 % (2659566)Time elapsed: 0.087 s
% 5.82/1.87 % (2659566)Peak memory usage: 87 MB
% 5.82/1.87 % (2659566)Instructions burned: 221 (million)
% 5.82/1.87 % (2659567)Instruction limit reached!
% 5.82/1.87 % (2659567)------------------------------
% 5.82/1.87 % (2659567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659567)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659567)Termination reason: Instruction limit
% 5.82/1.87 % (2659567)Termination phase: Saturation
% 5.82/1.87 % (2659567)Time elapsed: 0.088 s
% 5.82/1.87 % (2659567)Peak memory usage: 88 MB
% 5.82/1.87 % (2659567)Instructions burned: 127 (million)
% 5.82/1.87 % (2659568)Instruction limit reached!
% 5.82/1.87 % (2659568)------------------------------
% 5.82/1.87 % (2659568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659568)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659568)Termination reason: Instruction limit
% 5.82/1.87 % (2659568)Termination phase: Saturation
% 5.82/1.87 % (2659568)Time elapsed: 0.111 s
% 5.82/1.87 % (2659568)Peak memory usage: 88 MB
% 5.82/1.87 % (2659568)Instructions burned: 194 (million)
% 5.82/1.87 % (2659563)Refutation found. Thanks to Tanya!
% 5.82/1.87 % SZS status Unsatisfiable for theBenchmark
% 5.82/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 5.82/1.87 % (2659563)------------------------------
% 5.82/1.87 % (2659563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.87 % (2659563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.87 % (2659563)CaDiCaL version: 2.1.3
% 5.82/1.87 % (2659563)Termination reason: Refutation
% 5.82/1.87 % (2659563)Time elapsed: 0.047 s
% 5.82/1.87 % (2659563)Peak memory usage: 89 MB
% 5.82/1.87 % (2659563)Instructions burned: 94 (million)
% 5.82/1.87 % (2659563)------------------------------
% 5.82/1.87 % (2659563)------------------------------
% 5.82/1.87 % (2659462)Success in time 0.738 s
% 5.82/1.87 % Vampire exiting
%------------------------------------------------------------------------------