TSTP Solution File: FLD037-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD037-3 : 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_uns --cores 0 -t %d %s
% Computer : n002.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 16:05:38 EDT 2022
% Result : Unsatisfiable 0.15s 0.53s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 32 ~; 24 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(subsumption_resolution,[],[f134,f30]) ).
fof(f30,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
fof(f134,plain,
~ product(multiplicative_identity,a,b),
inference(subsumption_resolution,[],[f133,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f133,plain,
( ~ defined(a)
| ~ product(multiplicative_identity,a,b) ),
inference(subsumption_resolution,[],[f129,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f129,plain,
( sum(additive_identity,a,additive_identity)
| ~ defined(a)
| ~ product(multiplicative_identity,a,b) ),
inference(resolution,[],[f127,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f127,plain,
! [X8] :
( ~ product(multiplicative_inverse(a),X8,multiplicative_identity)
| ~ product(multiplicative_identity,X8,b) ),
inference(resolution,[],[f116,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f116,plain,
! [X0] :
( ~ product(X0,multiplicative_inverse(a),multiplicative_identity)
| ~ product(multiplicative_identity,X0,b) ),
inference(subsumption_resolution,[],[f112,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f112,plain,
! [X0] :
( ~ defined(multiplicative_identity)
| ~ product(X0,multiplicative_inverse(a),multiplicative_identity)
| ~ product(multiplicative_identity,X0,b) ),
inference(resolution,[],[f110,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,multiplicative_identity)
| ~ product(X0,X1,b)
| ~ product(X1,multiplicative_inverse(a),X2) ),
inference(resolution,[],[f62,f31]) ).
fof(f31,axiom,
~ product(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( product(X2,X3,X5)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4) ),
inference(resolution,[],[f39,f38]) ).
fof(f38,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| ~ product(X0,X1,X2)
| product(X4,X5,X2) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X0,X1,X2)
| product(X4,X5,X2) )
<=> ~ sP3(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f39,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP3(X4,X0,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1) ),
inference(general_splitting,[],[f7,f38_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD037-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n002.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 29 20:50:58 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.15/0.49 % (8877)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49 % (8884)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.15/0.50 % (8892)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.15/0.50 % (8876)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.50 % (8878)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.50 % (8893)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.50 % (8886)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.51 % (8878)Instruction limit reached!
% 0.15/0.51 % (8878)------------------------------
% 0.15/0.51 % (8878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (8885)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.51 TRYING [1]
% 0.15/0.51 % (8894)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.51 % (8878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (8878)Termination reason: Unknown
% 0.15/0.51 % (8878)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (8878)Memory used [KB]: 5884
% 0.15/0.51 % (8878)Time elapsed: 0.133 s
% 0.15/0.51 % (8878)Instructions burned: 3 (million)
% 0.15/0.51 % (8878)------------------------------
% 0.15/0.51 % (8878)------------------------------
% 0.15/0.53 TRYING [2]
% 0.15/0.53 % (8885)Instruction limit reached!
% 0.15/0.53 % (8885)------------------------------
% 0.15/0.53 % (8885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (8885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (8885)Termination reason: Unknown
% 0.15/0.53 % (8885)Termination phase: Finite model building constraint generation
% 0.15/0.53
% 0.15/0.53 % (8885)Memory used [KB]: 6140
% 0.15/0.53 % (8885)Time elapsed: 0.160 s
% 0.15/0.53 % (8885)Instructions burned: 7 (million)
% 0.15/0.53 % (8885)------------------------------
% 0.15/0.53 % (8885)------------------------------
% 0.15/0.53 % (8886)Instruction limit reached!
% 0.15/0.53 % (8886)------------------------------
% 0.15/0.53 % (8886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (8886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (8886)Termination reason: Unknown
% 0.15/0.53 % (8886)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (8886)Memory used [KB]: 5884
% 0.15/0.53 % (8886)Time elapsed: 0.152 s
% 0.15/0.53 % (8886)Instructions burned: 2 (million)
% 0.15/0.53 % (8886)------------------------------
% 0.15/0.53 % (8886)------------------------------
% 0.15/0.53 % (8884)First to succeed.
% 0.15/0.53 % (8884)Refutation found. Thanks to Tanya!
% 0.15/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.53 % (8884)------------------------------
% 0.15/0.53 % (8884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (8884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (8884)Termination reason: Refutation
% 0.15/0.53
% 0.15/0.53 % (8884)Memory used [KB]: 1535
% 0.15/0.53 % (8884)Time elapsed: 0.156 s
% 0.15/0.53 % (8884)Instructions burned: 11 (million)
% 0.15/0.53 % (8884)------------------------------
% 0.15/0.53 % (8884)------------------------------
% 0.15/0.53 % (8869)Success in time 0.231 s
%------------------------------------------------------------------------------