TSTP Solution File: FLD070-3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD070-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n018.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 16:07:02 EDT 2022
% Result : Unsatisfiable 1.78s 0.59s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(subsumption_resolution,[],[f120,f31]) ).
fof(f31,axiom,
~ less_or_equal(additive_identity,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
fof(f120,plain,
less_or_equal(additive_identity,add(a,b)),
inference(resolution,[],[f92,f30]) ).
fof(f30,axiom,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f92,plain,
! [X5] :
( ~ less_or_equal(X5,b)
| less_or_equal(X5,add(a,b)) ),
inference(resolution,[],[f71,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f71,plain,
! [X6,X5] :
( ~ defined(X5)
| ~ less_or_equal(X6,X5)
| less_or_equal(X6,add(a,X5)) ),
inference(resolution,[],[f66,f22]) ).
fof(f22,axiom,
! [X3,X0,X5] :
( ~ less_or_equal(X3,X5)
| less_or_equal(X0,X5)
| ~ less_or_equal(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f66,plain,
! [X0] :
( less_or_equal(X0,add(a,X0))
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f64,plain,
! [X0] :
( less_or_equal(X0,add(a,X0))
| ~ defined(X0)
| ~ defined(X0) ),
inference(resolution,[],[f61,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f61,plain,
! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| ~ defined(X1)
| less_or_equal(X0,add(a,X1)) ),
inference(subsumption_resolution,[],[f60,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f60,plain,
! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| ~ defined(X1)
| less_or_equal(X0,add(a,X1))
| ~ defined(a) ),
inference(resolution,[],[f58,f19]) ).
fof(f19,axiom,
! [X3,X0] :
( sum(X0,X3,add(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ sum(a,X0,X1)
| less_or_equal(X2,X1)
| ~ sum(additive_identity,X0,X2) ),
inference(resolution,[],[f24,f29]) ).
fof(f29,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X5,X4)
| less_or_equal(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD070-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.13/0.34 % Computer : n018.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 20:49:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (11346)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58 % (11345)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (11344)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)
% 0.20/0.58 % (11346)Instruction limit reached!
% 0.20/0.58 % (11346)------------------------------
% 0.20/0.58 % (11346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (11346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (11346)Termination reason: Unknown
% 0.20/0.58 % (11346)Termination phase: Blocked clause elimination
% 0.20/0.58
% 0.20/0.58 % (11346)Memory used [KB]: 895
% 0.20/0.58 % (11346)Time elapsed: 0.004 s
% 0.20/0.58 % (11346)Instructions burned: 3 (million)
% 0.20/0.58 % (11346)------------------------------
% 0.20/0.58 % (11346)------------------------------
% 0.20/0.58 TRYING [1]
% 0.20/0.58 % (11354)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)
% 0.20/0.58 TRYING [2]
% 0.20/0.58 TRYING [3]
% 0.20/0.58 % (11345)Instruction limit reached!
% 0.20/0.58 % (11345)------------------------------
% 0.20/0.58 % (11345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (11345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (11345)Termination reason: Unknown
% 0.20/0.58 % (11345)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (11345)Memory used [KB]: 5500
% 0.20/0.58 % (11345)Time elapsed: 0.149 s
% 0.20/0.58 % (11345)Instructions burned: 8 (million)
% 0.20/0.58 % (11345)------------------------------
% 0.20/0.58 % (11345)------------------------------
% 0.20/0.59 % (11362)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.59 % (11361)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)
% 1.78/0.59 % (11361)First to succeed.
% 1.78/0.59 % (11360)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)
% 1.78/0.59 % (11361)Refutation found. Thanks to Tanya!
% 1.78/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.78/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.59 % (11361)------------------------------
% 1.78/0.59 % (11361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (11361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (11361)Termination reason: Refutation
% 1.78/0.59
% 1.78/0.59 % (11361)Memory used [KB]: 5500
% 1.78/0.59 % (11361)Time elapsed: 0.158 s
% 1.78/0.59 % (11361)Instructions burned: 4 (million)
% 1.78/0.59 % (11361)------------------------------
% 1.78/0.59 % (11361)------------------------------
% 1.78/0.59 % (11337)Success in time 0.235 s
%------------------------------------------------------------------------------