TSTP Solution File: FLD005-3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD005-3 : 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 : n006.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 16:06:33 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f386,plain,
$false,
inference(subsumption_resolution,[],[f385,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f385,plain,
~ defined(a),
inference(subsumption_resolution,[],[f384,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f384,plain,
( ~ defined(b)
| ~ defined(a) ),
inference(subsumption_resolution,[],[f372,f29]) ).
fof(f29,axiom,
! [X0] : ~ sum(a,X0,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f372,plain,
( sum(a,add(additive_inverse(a),b),b)
| ~ defined(a)
| ~ defined(b) ),
inference(resolution,[],[f280,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ sum(additive_inverse(a),X0,X1)
| ~ defined(X0)
| sum(a,X1,X0) ),
inference(resolution,[],[f64,f31]) ).
fof(f31,plain,
! [X6,X7,X4,X5] :
( ~ sum(X5,X7,additive_identity)
| ~ defined(X4)
| sum(X5,X6,X4)
| ~ sum(X7,X4,X6) ),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f64,plain,
sum(a,additive_inverse(a),additive_identity),
inference(resolution,[],[f58,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f58,plain,
sum(additive_inverse(a),a,additive_identity),
inference(resolution,[],[f4,f27]) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f280,plain,
! [X0] :
( sum(additive_inverse(X0),b,add(additive_inverse(X0),b))
| ~ defined(X0) ),
inference(resolution,[],[f269,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f269,plain,
! [X13] :
( ~ defined(X13)
| sum(X13,b,add(X13,b)) ),
inference(resolution,[],[f19,f28]) ).
fof(f19,axiom,
! [X3,X0] :
( ~ defined(X3)
| sum(X0,X3,add(X0,X3))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD005-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.14/0.34 % Computer : n006.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 20:32:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (9079)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)
% 0.20/0.50 % (9071)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)
% 0.20/0.51 % (9062)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)
% 0.20/0.51 % (9063)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (9061)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)
% 0.20/0.51 % (9060)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (9063)Instruction limit reached!
% 0.20/0.52 % (9063)------------------------------
% 0.20/0.52 % (9063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9063)Termination reason: Unknown
% 0.20/0.52 % (9063)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (9063)Memory used [KB]: 5500
% 0.20/0.52 % (9063)Time elapsed: 0.072 s
% 0.20/0.52 % (9063)Instructions burned: 9 (million)
% 0.20/0.52 % (9063)------------------------------
% 0.20/0.52 % (9063)------------------------------
% 0.20/0.52 % (9056)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)
% 0.20/0.52 % (9079)First to succeed.
% 0.20/0.52 % (9059)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)
% 0.20/0.52 % (9069)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (9079)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (9079)------------------------------
% 0.20/0.52 % (9079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9079)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (9079)Memory used [KB]: 5628
% 0.20/0.52 % (9079)Time elapsed: 0.077 s
% 0.20/0.52 % (9079)Instructions burned: 16 (million)
% 0.20/0.52 % (9079)------------------------------
% 0.20/0.52 % (9079)------------------------------
% 0.20/0.52 % (9055)Success in time 0.172 s
%------------------------------------------------------------------------------