TSTP Solution File: HEN005-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN005-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n019.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 16:24:34 EDT 2022
% Result : Unsatisfiable 1.69s 0.60s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 18 unt; 0 def)
% Number of atoms : 66 ( 11 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 65 ( 33 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f261,plain,
$false,
inference(subsumption_resolution,[],[f253,f12]) ).
fof(f12,axiom,
~ less_equal(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_less_equal) ).
fof(f253,plain,
less_equal(x,z),
inference(resolution,[],[f244,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f244,plain,
quotient(x,z,zero),
inference(superposition,[],[f8,f231]) ).
fof(f231,plain,
zero = divide(x,z),
inference(subsumption_resolution,[],[f230,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f230,plain,
( ~ less_equal(zero,divide(x,z))
| zero = divide(x,z) ),
inference(resolution,[],[f218,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f218,plain,
less_equal(divide(x,z),zero),
inference(resolution,[],[f196,f2]) ).
fof(f196,plain,
quotient(divide(x,z),zero,zero),
inference(superposition,[],[f8,f192]) ).
fof(f192,plain,
zero = divide(divide(x,z),zero),
inference(subsumption_resolution,[],[f191,f5]) ).
fof(f191,plain,
( zero = divide(divide(x,z),zero)
| ~ less_equal(zero,divide(divide(x,z),zero)) ),
inference(resolution,[],[f174,f6]) ).
fof(f174,plain,
less_equal(divide(divide(x,z),zero),zero),
inference(resolution,[],[f169,f8]) ).
fof(f169,plain,
! [X5] :
( ~ quotient(x,z,X5)
| less_equal(divide(X5,zero),zero) ),
inference(resolution,[],[f159,f53]) ).
fof(f53,plain,
quotient(x,y,zero),
inference(superposition,[],[f8,f47]) ).
fof(f47,plain,
zero = divide(x,y),
inference(resolution,[],[f29,f10]) ).
fof(f10,axiom,
less_equal(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy) ).
fof(f29,plain,
! [X2,X3] :
( ~ less_equal(X2,X3)
| zero = divide(X2,X3) ),
inference(resolution,[],[f21,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| divide(X0,X1) = X2 ),
inference(resolution,[],[f9,f8]) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X8)
| ~ quotient(X0,X1,X2)
| X2 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_defined) ).
fof(f159,plain,
! [X6,X7] :
( ~ quotient(X6,y,zero)
| ~ quotient(X6,z,X7)
| less_equal(divide(X7,zero),zero) ),
inference(resolution,[],[f113,f31]) ).
fof(f31,plain,
! [X1] : quotient(zero,X1,zero),
inference(superposition,[],[f8,f27]) ).
fof(f27,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f17,f14]) ).
fof(f14,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_existence) ).
fof(f17,plain,
! [X1] :
( ~ less_equal(X1,zero)
| zero = X1 ),
inference(resolution,[],[f6,f5]) ).
fof(f113,plain,
! [X21,X22,X23,X20] :
( ~ quotient(X23,z,X22)
| ~ quotient(X20,z,X21)
| ~ quotient(X20,y,X23)
| less_equal(divide(X21,zero),X22) ),
inference(resolution,[],[f80,f11]) ).
fof(f11,axiom,
less_equal(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yLEz) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ less_equal(X3,X5)
| ~ quotient(X2,X5,X0)
| less_equal(divide(X0,zero),X1)
| ~ quotient(X2,X3,X4)
| ~ quotient(X4,X5,X1) ),
inference(resolution,[],[f24,f8]) ).
fof(f24,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ quotient(X11,zero,X7)
| less_equal(X7,X8)
| ~ quotient(X9,X13,X12)
| ~ less_equal(X13,X10)
| ~ quotient(X12,X10,X8)
| ~ quotient(X9,X10,X11) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X1,X2,X4)
| less_equal(X6,X7)
| ~ quotient(X0,X2,X5)
| ~ quotient(X3,X2,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X1,X3) ),
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN005-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 23:00:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.55/0.57 % (30908)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)
% 1.55/0.57 % (30900)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)
% 1.69/0.58 % (30892)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.69/0.58 % (30890)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)
% 1.69/0.59 % (30886)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)
% 1.69/0.59 % (30886)Refutation not found, incomplete strategy% (30886)------------------------------
% 1.69/0.59 % (30886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (30886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (30886)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.59
% 1.69/0.59 % (30886)Memory used [KB]: 5373
% 1.69/0.59 % (30886)Time elapsed: 0.165 s
% 1.69/0.59 % (30886)Instructions burned: 1 (million)
% 1.69/0.59 % (30886)------------------------------
% 1.69/0.59 % (30886)------------------------------
% 1.69/0.59 % (30892)Instruction limit reached!
% 1.69/0.59 % (30892)------------------------------
% 1.69/0.59 % (30892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (30892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (30892)Termination reason: Unknown
% 1.69/0.59 % (30892)Termination phase: Saturation
% 1.69/0.59
% 1.69/0.60 % (30892)Memory used [KB]: 5500
% 1.69/0.60 % (30892)Time elapsed: 0.096 s
% 1.69/0.60 % (30892)Instructions burned: 7 (million)
% 1.69/0.60 % (30892)------------------------------
% 1.69/0.60 % (30892)------------------------------
% 1.69/0.60 % (30898)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.69/0.60 % (30900)First to succeed.
% 1.69/0.60 % (30888)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)
% 1.69/0.60 % (30900)Refutation found. Thanks to Tanya!
% 1.69/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.69/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.60 % (30900)------------------------------
% 1.69/0.60 % (30900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (30900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (30900)Termination reason: Refutation
% 1.69/0.60
% 1.69/0.60 % (30900)Memory used [KB]: 1023
% 1.69/0.60 % (30900)Time elapsed: 0.099 s
% 1.69/0.60 % (30900)Instructions burned: 14 (million)
% 1.69/0.60 % (30900)------------------------------
% 1.69/0.60 % (30900)------------------------------
% 1.69/0.60 % (30884)Success in time 0.248 s
%------------------------------------------------------------------------------