TSTP Solution File: RNG038-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG038-2 : 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 : n001.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 18:15:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(subsumption_resolution,[],[f93,f25]) ).
fof(f25,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f93,plain,
~ product(additive_identity,h(additive_identity,a),additive_identity),
inference(resolution,[],[f84,f72]) ).
fof(f72,plain,
! [X0] : product(additive_identity,h(additive_identity,X0),X0),
inference(resolution,[],[f68,f31]) ).
fof(f31,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(resolution,[],[f16,f10]) ).
fof(f10,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f16,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f68,plain,
! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| product(X0,h(X0,X1),X1) ),
inference(resolution,[],[f57,f10]) ).
fof(f57,plain,
! [X6,X7,X4,X5] :
( ~ sum(X4,X5,additive_identity)
| ~ sum(X4,X5,X6)
| product(X6,h(X6,X7),X7) ),
inference(resolution,[],[f23,f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ~ equalish(X0,additive_identity)
| product(X0,h(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).
fof(f23,axiom,
! [X0,X1,X4,X5] :
( equalish(X4,X5)
| ~ sum(X0,X1,X5)
| ~ sum(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f84,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| ~ product(X0,X1,additive_identity) ),
inference(resolution,[],[f24,f29]) ).
fof(f29,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
fof(f24,axiom,
! [X0,X1,X4,X5] :
( equalish(X4,X5)
| ~ product(X0,X1,X4)
| ~ product(X0,X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG038-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 12:17:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.50 % (30021)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)
% 0.18/0.50 % (30013)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)
% 0.18/0.50 % (30014)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)
% 0.18/0.50 % (30006)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (30005)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)
% 0.18/0.50 % (30021)First to succeed.
% 0.18/0.51 TRYING [1]
% 0.18/0.51 TRYING [2]
% 0.18/0.51 % (30021)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (30021)------------------------------
% 0.18/0.51 % (30021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (30021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (30021)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (30021)Memory used [KB]: 1023
% 0.18/0.51 % (30021)Time elapsed: 0.060 s
% 0.18/0.51 % (30021)Instructions burned: 5 (million)
% 0.18/0.51 % (30021)------------------------------
% 0.18/0.51 % (30021)------------------------------
% 0.18/0.51 % (29998)Success in time 0.166 s
%------------------------------------------------------------------------------