TSTP Solution File: HEN007-5 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:24:25 EDT 2022
% Result : Unsatisfiable 1.57s 0.59s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 14 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f461,plain,
$false,
inference(subsumption_resolution,[],[f460,f3]) ).
fof(f3,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f460,plain,
zero != divide(zero,zero),
inference(backward_demodulation,[],[f265,f459]) ).
fof(f459,plain,
! [X0] : zero = divide(divide(divide(divide(X0,b),divide(X0,a)),zero),zero),
inference(forward_demodulation,[],[f445,f3]) ).
fof(f445,plain,
! [X0] : zero = divide(divide(divide(divide(X0,b),divide(X0,a)),divide(zero,divide(X0,a))),zero),
inference(superposition,[],[f2,f134]) ).
fof(f134,plain,
! [X0] : zero = divide(divide(divide(X0,b),zero),divide(X0,a)),
inference(unit_resulting_resolution,[],[f1,f21,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( zero != divide(X1,X2)
| divide(X0,X1) != zero
| zero = divide(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
fof(f21,plain,
! [X1] : zero = divide(divide(divide(X1,b),zero),divide(divide(X1,a),b)),
inference(superposition,[],[f2,f7]) ).
fof(f7,axiom,
zero = divide(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
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] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f265,plain,
zero != divide(divide(divide(divide(divide(c,b),divide(c,a)),zero),zero),zero),
inference(unit_resulting_resolution,[],[f3,f63,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( zero != divide(X1,X0)
| divide(X0,X1) != zero
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f63,plain,
zero != divide(divide(divide(divide(c,b),divide(c,a)),zero),zero),
inference(unit_resulting_resolution,[],[f3,f14,f4]) ).
fof(f14,plain,
zero != divide(divide(divide(c,b),divide(c,a)),zero),
inference(unit_resulting_resolution,[],[f3,f8,f4]) ).
fof(f8,axiom,
zero != divide(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_divide2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:57:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.36/0.53 % (6900)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.36/0.55 % (6918)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.57/0.56 % (6904)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.57/0.56 % (6897)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.57/0.56 % (6906)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.57/0.56 % (6901)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.57/0.56 % (6909)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.57/0.57 % (6906)Instruction limit reached!
% 1.57/0.57 % (6906)------------------------------
% 1.57/0.57 % (6906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (6898)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.57/0.57 % (6906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (6906)Termination reason: Unknown
% 1.57/0.57 % (6906)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (6906)Memory used [KB]: 5884
% 1.57/0.57 % (6906)Time elapsed: 0.154 s
% 1.57/0.57 % (6906)Instructions burned: 7 (million)
% 1.57/0.57 % (6906)------------------------------
% 1.57/0.57 % (6906)------------------------------
% 1.57/0.57 % (6898)Instruction limit reached!
% 1.57/0.57 % (6898)------------------------------
% 1.57/0.57 % (6898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (6898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (6898)Termination reason: Unknown
% 1.57/0.57 % (6898)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (6898)Memory used [KB]: 5884
% 1.57/0.57 % (6898)Time elapsed: 0.162 s
% 1.57/0.57 % (6898)Instructions burned: 4 (million)
% 1.57/0.57 % (6898)------------------------------
% 1.57/0.57 % (6898)------------------------------
% 1.57/0.57 % (6896)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.57/0.57 % (6912)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.57/0.58 TRYING [1]
% 1.57/0.58 TRYING [2]
% 1.57/0.58 % (6915)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.57/0.58 % (6920)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.57/0.58 % (6904)Instruction limit reached!
% 1.57/0.58 % (6904)------------------------------
% 1.57/0.58 % (6904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (6904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (6904)Termination reason: Unknown
% 1.57/0.58 % (6904)Termination phase: Saturation
% 1.57/0.58
% 1.57/0.58 % (6904)Memory used [KB]: 5756
% 1.57/0.58 % (6904)Time elapsed: 0.171 s
% 1.57/0.58 % (6904)Instructions burned: 3 (million)
% 1.57/0.58 % (6904)------------------------------
% 1.57/0.58 % (6904)------------------------------
% 1.57/0.58 % (6899)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.57/0.58 % (6909)Instruction limit reached!
% 1.57/0.58 % (6909)------------------------------
% 1.57/0.58 % (6909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (6909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (6909)Termination reason: Unknown
% 1.57/0.58 % (6909)Termination phase: Saturation
% 1.57/0.58
% 1.57/0.58 % (6909)Memory used [KB]: 5884
% 1.57/0.58 % (6909)Time elapsed: 0.171 s
% 1.57/0.58 % (6909)Instructions burned: 3 (million)
% 1.57/0.58 % (6909)------------------------------
% 1.57/0.58 % (6909)------------------------------
% 1.57/0.59 % (6900)First to succeed.
% 1.57/0.59 % (6905)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.59 % (6924)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.57/0.59 % (6900)Refutation found. Thanks to Tanya!
% 1.57/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.59 % (6900)------------------------------
% 1.57/0.59 % (6900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (6900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (6900)Termination reason: Refutation
% 1.57/0.59
% 1.57/0.59 % (6900)Memory used [KB]: 6140
% 1.57/0.59 % (6900)Time elapsed: 0.160 s
% 1.57/0.59 % (6900)Instructions burned: 26 (million)
% 1.57/0.59 % (6900)------------------------------
% 1.57/0.59 % (6900)------------------------------
% 1.57/0.59 % (6895)Success in time 0.241 s
%------------------------------------------------------------------------------