TSTP Solution File: HEN007-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN007-3 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 16:24:37 EDT 2022
% Result : Unsatisfiable 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 27 unt; 0 def)
% Number of atoms : 79 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1150,plain,
$false,
inference(avatar_sat_refutation,[],[f565,f590,f846,f1104,f1149]) ).
fof(f1149,plain,
~ spl2_30,
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| ~ spl2_30 ),
inference(resolution,[],[f1122,f12]) ).
fof(f12,plain,
~ less_equal(sF0,sF1),
inference(definition_folding,[],[f9,f11,f10]) ).
fof(f10,plain,
divide(c,b) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
divide(c,a) = sF1,
introduced(function_definition,[]) ).
fof(f9,axiom,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
fof(f1122,plain,
( less_equal(sF0,sF1)
| ~ spl2_30 ),
inference(superposition,[],[f3,f589]) ).
fof(f589,plain,
( divide(sF1,b) = sF0
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl2_30
<=> divide(sF1,b) = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f1104,plain,
( spl2_29
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f1102,f842,f583]) ).
fof(f583,plain,
( spl2_29
<=> less_equal(sF0,divide(sF1,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
fof(f842,plain,
( spl2_38
<=> zero = divide(divide(sF0,divide(sF1,b)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f1102,plain,
( less_equal(sF0,divide(sF1,b))
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1090]) ).
fof(f1090,plain,
( zero != zero
| less_equal(sF0,divide(sF1,b))
| ~ spl2_38 ),
inference(superposition,[],[f2,f1080]) ).
fof(f1080,plain,
( zero = divide(sF0,divide(sF1,b))
| ~ spl2_38 ),
inference(resolution,[],[f1077,f69]) ).
fof(f69,plain,
! [X3] :
( ~ less_equal(X3,zero)
| zero = X3 ),
inference(resolution,[],[f6,f5]) ).
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(f1077,plain,
( less_equal(divide(sF0,divide(sF1,b)),zero)
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1065]) ).
fof(f1065,plain,
( less_equal(divide(sF0,divide(sF1,b)),zero)
| zero != zero
| ~ spl2_38 ),
inference(superposition,[],[f2,f844]) ).
fof(f844,plain,
( zero = divide(divide(sF0,divide(sF1,b)),zero)
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f846,plain,
spl2_38,
inference(avatar_split_clause,[],[f834,f842]) ).
fof(f834,plain,
zero = divide(divide(sF0,divide(sF1,b)),zero),
inference(resolution,[],[f789,f69]) ).
fof(f789,plain,
less_equal(divide(divide(sF0,divide(sF1,b)),zero),zero),
inference(forward_demodulation,[],[f775,f17]) ).
fof(f17,plain,
! [X3] : zero = divide(zero,X3),
inference(resolution,[],[f1,f5]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f775,plain,
less_equal(divide(divide(sF0,divide(sF1,b)),divide(zero,divide(sF1,b))),zero),
inference(superposition,[],[f4,f743]) ).
fof(f743,plain,
zero = divide(divide(sF0,zero),divide(sF1,b)),
inference(resolution,[],[f737,f1]) ).
fof(f737,plain,
less_equal(divide(sF0,zero),divide(sF1,b)),
inference(forward_demodulation,[],[f729,f18]) ).
fof(f18,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f8]) ).
fof(f8,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
fof(f729,plain,
less_equal(divide(sF0,divide(a,b)),divide(sF1,b)),
inference(superposition,[],[f118,f11]) ).
fof(f118,plain,
! [X8] : less_equal(divide(sF0,divide(X8,b)),divide(divide(c,X8),b)),
inference(superposition,[],[f4,f10]) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f590,plain,
( ~ spl2_29
| spl2_30
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f580,f557,f587,f583]) ).
fof(f557,plain,
( spl2_27
<=> zero = divide(divide(sF1,b),sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f580,plain,
( divide(sF1,b) = sF0
| ~ less_equal(sF0,divide(sF1,b))
| ~ spl2_27 ),
inference(resolution,[],[f577,f6]) ).
fof(f577,plain,
( less_equal(divide(sF1,b),sF0)
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f568]) ).
fof(f568,plain,
( zero != zero
| less_equal(divide(sF1,b),sF0)
| ~ spl2_27 ),
inference(superposition,[],[f2,f559]) ).
fof(f559,plain,
( zero = divide(divide(sF1,b),sF0)
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f565,plain,
spl2_27,
inference(avatar_split_clause,[],[f553,f557]) ).
fof(f553,plain,
zero = divide(divide(sF1,b),sF0),
inference(resolution,[],[f545,f69]) ).
fof(f545,plain,
less_equal(divide(divide(sF1,b),sF0),zero),
inference(superposition,[],[f151,f10]) ).
fof(f151,plain,
! [X11] : less_equal(divide(divide(sF1,X11),divide(c,X11)),zero),
inference(forward_demodulation,[],[f138,f17]) ).
fof(f138,plain,
! [X11] : less_equal(divide(divide(sF1,X11),divide(c,X11)),divide(zero,X11)),
inference(superposition,[],[f4,f20]) ).
fof(f20,plain,
zero = divide(sF1,c),
inference(resolution,[],[f1,f14]) ).
fof(f14,plain,
less_equal(sF1,c),
inference(superposition,[],[f3,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN007-3 : 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_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 23:01:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (10452)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51 % (10444)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (10436)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.52 TRYING [3]
% 0.21/0.52 TRYING [4]
% 0.21/0.53 % (10449)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (10431)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (10431)Refutation not found, incomplete strategy% (10431)------------------------------
% 0.21/0.53 % (10431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (10431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (10431)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (10431)Memory used [KB]: 5373
% 0.21/0.53 % (10431)Time elapsed: 0.116 s
% 0.21/0.53 % (10431)Instructions burned: 1 (million)
% 0.21/0.53 % (10431)------------------------------
% 0.21/0.53 % (10431)------------------------------
% 0.21/0.53 % (10433)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (10441)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (10453)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53 % (10438)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (10437)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (10438)Instruction limit reached!
% 0.21/0.53 % (10438)------------------------------
% 0.21/0.53 % (10438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (10438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (10438)Termination reason: Unknown
% 0.21/0.53 % (10438)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (10438)Memory used [KB]: 5373
% 0.21/0.53 % (10438)Time elapsed: 0.125 s
% 0.21/0.53 % (10438)Instructions burned: 2 (million)
% 0.21/0.53 % (10438)------------------------------
% 0.21/0.53 % (10438)------------------------------
% 0.21/0.54 % (10458)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 % (10459)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.54 % (10445)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54 % (10437)Instruction limit reached!
% 0.21/0.54 % (10437)------------------------------
% 0.21/0.54 % (10437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (10437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (10437)Termination reason: Unknown
% 0.21/0.54 % (10437)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (10437)Memory used [KB]: 5500
% 0.21/0.54 % (10437)Time elapsed: 0.126 s
% 0.21/0.54 % (10437)Instructions burned: 7 (million)
% 0.21/0.54 % (10437)------------------------------
% 0.21/0.54 % (10437)------------------------------
% 0.21/0.54 % (10454)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (10456)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (10432)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (10442)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (10435)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54 % (10434)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (10457)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54 % (10455)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55 TRYING [5]
% 0.21/0.55 % (10450)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.55 % (10448)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (10447)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (10443)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (10440)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (10439)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (10430)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (10446)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (10451)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.56 TRYING [4]
% 0.21/0.56 % (10436)Instruction limit reached!
% 0.21/0.56 % (10436)------------------------------
% 0.21/0.56 % (10436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (10436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (10436)Termination reason: Unknown
% 0.21/0.56 % (10436)Termination phase: Finite model building constraint generation
% 0.21/0.56
% 0.21/0.56 % (10436)Memory used [KB]: 7931
% 0.21/0.56 % (10436)Time elapsed: 0.096 s
% 0.21/0.56 % (10436)Instructions burned: 51 (million)
% 0.21/0.56 % (10436)------------------------------
% 0.21/0.56 % (10436)------------------------------
% 0.21/0.57 TRYING [4]
% 0.21/0.58 % (10433)First to succeed.
% 0.21/0.58 % (10433)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (10433)------------------------------
% 0.21/0.58 % (10433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (10433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (10433)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (10433)Memory used [KB]: 5884
% 0.21/0.58 % (10433)Time elapsed: 0.169 s
% 0.21/0.58 % (10433)Instructions burned: 25 (million)
% 0.21/0.58 % (10433)------------------------------
% 0.21/0.58 % (10433)------------------------------
% 0.21/0.58 % (10429)Success in time 0.226 s
%------------------------------------------------------------------------------