%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN007-2 : 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 : n016.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 0.17s 1.70s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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(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/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
fof(f14,axiom,
! [X2,X0,X1] :
( less_equal(X0,X2)
| ~ less_equal(X1,X2)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
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/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f16,axiom,
less_equal(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy) ).
fof(f17,axiom,
quotient(z,y,zQy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQy) ).
fof(f18,axiom,
quotient(z,x,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zQx) ).
fof(f19,negated_conjecture,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
fof(f190,plain,
~ less_equal(divide(z,zQx),y),
inference(unit_resulting_resolution,[],[f15,f19,f8,f17]) ).
fof(f616,plain,
less_equal(zQx,zQx),
inference(unit_resulting_resolution,[],[f4,f13,f18,f13,f13,f18]) ).
fof(f3179,plain,
~ less_equal(divide(z,zQx),x),
inference(unit_resulting_resolution,[],[f14,f16,f190]) ).
fof(f3842,plain,
less_equal(divide(z,zQx),x),
inference(unit_resulting_resolution,[],[f15,f18,f8,f616]) ).
fof(f3846,plain,
$false,
inference(forward_subsumption_resolution,[],[f3842,f3179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n016.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:55:38 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.17/1.70 % (2446110)Input is clausal, will run a generic CNF schedule.
% 0.17/1.70 % (2446183)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2060483501:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.70 % (2446184)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=958734218:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.70 % (2446182)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=573119280:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.70 % (2446185)lrs+10_1_sil=8000:sp=occurrence:random_seed=451113328:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.70 % (2446185)Refutation not found, incomplete strategy
% 0.17/1.70 % (2446185)------------------------------
% 0.17/1.70 % (2446185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446185)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446185)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (2446185)Time elapsed: 0.002 s
% 0.17/1.70 % (2446185)Peak memory usage: 88 MB
% 0.17/1.70 % (2446185)Instructions burned: 1 (million)
% 0.17/1.70 % (2446188)dis-21_1_sil=8000:lcm=predicate:random_seed=304652434: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)
% 0.17/1.70 % (2446187)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2029097695:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.70 % (2446186)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1097031331:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.70 % (2446186)Instruction limit reached!
% 0.17/1.70 % (2446186)------------------------------
% 0.17/1.70 % (2446186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446186)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446186)Termination reason: Instruction limit
% 0.17/1.70 % (2446186)Termination phase: Saturation
% 0.17/1.70 % (2446186)Time elapsed: 0.050 s
% 0.17/1.70 % (2446186)Peak memory usage: 88 MB
% 0.17/1.70 % (2446186)Instructions burned: 117 (million)
% 0.17/1.70 % (2446188)Instruction limit reached!
% 0.17/1.70 % (2446188)------------------------------
% 0.17/1.70 % (2446188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446188)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446188)Termination reason: Instruction limit
% 0.17/1.70 % (2446188)Termination phase: Saturation
% 0.17/1.70 % (2446188)Time elapsed: 0.058 s
% 0.17/1.70 % (2446188)Peak memory usage: 88 MB
% 0.17/1.70 % (2446188)Instructions burned: 118 (million)
% 0.17/1.70 % (2446187)Instruction limit reached!
% 0.17/1.70 % (2446187)------------------------------
% 0.17/1.70 % (2446187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446187)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446187)Termination reason: Instruction limit
% 0.17/1.70 % (2446187)Termination phase: Saturation
% 0.17/1.70 % (2446187)Time elapsed: 0.112 s
% 0.17/1.70 % (2446187)Peak memory usage: 88 MB
% 0.17/1.70 % (2446187)Instructions burned: 181 (million)
% 0.17/1.70 % (2446196)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=4219897918:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.17/1.70 % (2446197)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3655696703: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)
% 0.17/1.70 % (2446185)------------------------------
% 0.17/1.70 % (2446185)------------------------------
% 0.17/1.70 % (2446197)First to succeed.
% 0.17/1.70 % (2446197)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2446110"
% 0.17/1.70 % (2446198)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2649698175:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.17/1.70 % (2446196)Instruction limit reached!
% 0.17/1.70 % (2446196)------------------------------
% 0.17/1.70 % (2446196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446196)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446196)Termination reason: Instruction limit
% 0.17/1.70 % (2446196)Termination phase: Saturation
% 0.17/1.70 % (2446196)Time elapsed: 0.083 s
% 0.17/1.70 % (2446196)Peak memory usage: 88 MB
% 0.17/1.70 % (2446196)Instructions burned: 144 (million)
% 0.17/1.70 % (2446183)Also succeeded, but the first one will report.
% 0.17/1.70 % (2446198)Instruction limit reached!
% 0.17/1.70 % (2446198)------------------------------
% 0.17/1.70 % (2446198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446198)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446198)Termination reason: Instruction limit
% 0.17/1.70 % (2446198)Termination phase: Saturation
% 0.17/1.70 % (2446198)Time elapsed: 0.086 s
% 0.17/1.70 % (2446198)Peak memory usage: 87 MB
% 0.17/1.70 % (2446198)Instructions burned: 220 (million)
% 0.17/1.70 % (2446201)lrs+10_64_to=lpo:sil=8000:random_seed=2921199519:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.17/1.70 % (2446203)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=290401502:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.17/1.70 % (2446201)Also succeeded, but the first one will report.
% 0.17/1.70 % (2446204)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1676853497:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 0.17/1.70 % (2446203)Instruction limit reached!
% 0.17/1.70 % (2446203)------------------------------
% 0.17/1.70 % (2446203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446203)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446203)Termination reason: Instruction limit
% 0.17/1.70 % (2446203)Termination phase: Saturation
% 0.17/1.70 % (2446203)Time elapsed: 0.083 s
% 0.17/1.70 % (2446203)Peak memory usage: 88 MB
% 0.17/1.70 % (2446203)Instructions burned: 196 (million)
% 0.17/1.70 % (2446197)Refutation found. Thanks to Tanya!
% 0.17/1.70 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.70 % (2446197)------------------------------
% 0.17/1.70 % (2446197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2446197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2446197)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2446197)Termination reason: Refutation
% 0.17/1.70 % (2446197)Time elapsed: 0.053 s
% 0.17/1.70 % (2446197)Peak memory usage: 89 MB
% 0.17/1.70 % (2446197)Instructions burned: 105 (million)
% 0.17/1.70 % (2446197)------------------------------
% 0.17/1.70 % (2446197)------------------------------
% 0.17/1.70 % (2446110)Success in time 0.637 s
% 0.17/1.70 % Vampire exiting
%------------------------------------------------------------------------------