TSTP Solution File: FLD013-5 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD013-5 : 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 : n025.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 16:06:37 EDT 2022
% Result : Unsatisfiable 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f262,plain,
$false,
inference(subsumption_resolution,[],[f261,f37]) ).
fof(f37,axiom,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_11) ).
fof(f261,plain,
sum(additive_identity,u,v),
inference(resolution,[],[f250,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(f250,plain,
sum(u,additive_identity,v),
inference(resolution,[],[f178,f169]) ).
fof(f169,plain,
sum(d,a,u),
inference(resolution,[],[f156,f5]) ).
fof(f156,plain,
sum(a,d,u),
inference(resolution,[],[f124,f34]) ).
fof(f34,axiom,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_8) ).
fof(f124,plain,
! [X11] :
( ~ sum(additive_identity,c,X11)
| sum(a,X11,u) ),
inference(subsumption_resolution,[],[f123,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f123,plain,
! [X11] :
( ~ sum(additive_identity,c,X11)
| sum(a,X11,u)
| ~ defined(a) ),
inference(resolution,[],[f40,f46]) ).
fof(f46,plain,
! [X10,X11,X12] :
( ~ sum(X10,X11,a)
| sum(X10,X12,u)
| ~ sum(X11,c,X12) ),
inference(resolution,[],[f1,f35]) ).
fof(f35,axiom,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_9) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f40,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f178,plain,
! [X3] :
( ~ sum(d,a,X3)
| sum(X3,additive_identity,v) ),
inference(resolution,[],[f56,f36]) ).
fof(f36,axiom,
sum(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_10) ).
fof(f56,plain,
! [X14,X15,X13] :
( ~ sum(X15,b,X14)
| sum(X13,additive_identity,X14)
| ~ sum(X15,a,X13) ),
inference(resolution,[],[f2,f38]) ).
fof(f38,plain,
sum(a,additive_identity,b),
inference(resolution,[],[f5,f33]) ).
fof(f33,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : FLD013-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 20:43:29 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.46 % (22107)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)
% 0.15/0.46 % (22110)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.46 % (22100)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.46 % (22102)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.46 % (22108)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)
% 0.15/0.47 % (22099)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (22119)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)
% 0.15/0.47 % (22117)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.47 % (22115)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)
% 0.15/0.48 % (22100)Instruction limit reached!
% 0.15/0.48 % (22100)------------------------------
% 0.15/0.48 % (22100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (22100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (22100)Termination reason: Unknown
% 0.15/0.48 % (22100)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (22100)Memory used [KB]: 5373
% 0.15/0.48 % (22100)Time elapsed: 0.004 s
% 0.15/0.48 % (22100)Instructions burned: 3 (million)
% 0.15/0.48 % (22100)------------------------------
% 0.15/0.48 % (22100)------------------------------
% 0.15/0.49 % (22099)Instruction limit reached!
% 0.15/0.49 % (22099)------------------------------
% 0.15/0.49 % (22099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (22099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (22099)Termination reason: Unknown
% 0.15/0.49 % (22099)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (22099)Memory used [KB]: 5500
% 0.15/0.49 % (22099)Time elapsed: 0.116 s
% 0.15/0.49 % (22099)Instructions burned: 7 (million)
% 0.15/0.49 % (22099)------------------------------
% 0.15/0.49 % (22099)------------------------------
% 0.15/0.50 % (22096)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51 % (22112)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)
% 0.15/0.51 % (22115)First to succeed.
% 0.15/0.52 % (22093)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)
% 0.15/0.52 % (22109)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.52 % (22115)Refutation found. Thanks to Tanya!
% 0.15/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52 % (22115)------------------------------
% 0.15/0.52 % (22115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (22115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (22115)Termination reason: Refutation
% 0.15/0.52
% 0.15/0.52 % (22115)Memory used [KB]: 5500
% 0.15/0.52 % (22115)Time elapsed: 0.135 s
% 0.15/0.52 % (22115)Instructions burned: 17 (million)
% 0.15/0.52 % (22115)------------------------------
% 0.15/0.52 % (22115)------------------------------
% 0.15/0.52 % (22091)Success in time 0.201 s
%------------------------------------------------------------------------------