TSTP Solution File: FLD010-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : 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 16:05:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 24 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f273,plain,
$false,
inference(avatar_sat_refutation,[],[f92,f272]) ).
fof(f272,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f266,f27]) ).
fof(f27,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_identities) ).
fof(f266,plain,
( equalish(additive_identity,multiplicative_identity)
| ~ spl0_3 ),
inference(resolution,[],[f263,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f263,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f259,f14]) ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f259,plain,
( ~ defined(multiplicative_identity)
| equalish(multiplicative_identity,additive_identity)
| ~ spl0_3 ),
inference(resolution,[],[f118,f7]) ).
fof(f7,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f118,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f62,f112]) ).
fof(f112,plain,
( defined(multiplicative_inverse(multiplicative_identity))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_3
<=> defined(multiplicative_inverse(multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f62,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| ~ defined(multiplicative_inverse(multiplicative_identity)) ),
inference(resolution,[],[f35,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f35,plain,
! [X0] :
( ~ equalish(X0,multiplicative_inverse(multiplicative_identity))
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f30,f22]) ).
fof(f30,plain,
! [X0] :
( ~ equalish(multiplicative_inverse(multiplicative_identity),X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f28,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f28,axiom,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inv_not_equal_to_multiplicative_id_2) ).
fof(f92,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f86,f27]) ).
fof(f86,plain,
( equalish(additive_identity,multiplicative_identity)
| spl0_3 ),
inference(resolution,[],[f83,f22]) ).
fof(f83,plain,
( equalish(multiplicative_identity,additive_identity)
| spl0_3 ),
inference(subsumption_resolution,[],[f82,f14]) ).
fof(f82,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity)
| spl0_3 ),
inference(resolution,[],[f79,f15]) ).
fof(f15,axiom,
! [X0] :
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f79,plain,
( ~ defined(multiplicative_inverse(multiplicative_identity))
| spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n025.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:42:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (20287)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)
% 0.19/0.46 % (20279)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)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 TRYING [2]
% 0.19/0.47 % (20279)Instruction limit reached!
% 0.19/0.47 % (20279)------------------------------
% 0.19/0.47 % (20279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (20279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (20279)Termination reason: Unknown
% 0.19/0.47 % (20279)Termination phase: Finite model building SAT solving
% 0.19/0.47
% 0.19/0.47 % (20279)Memory used [KB]: 6012
% 0.19/0.47 % (20279)Time elapsed: 0.066 s
% 0.19/0.47 % (20279)Instructions burned: 7 (million)
% 0.19/0.47 % (20279)------------------------------
% 0.19/0.47 % (20279)------------------------------
% 0.19/0.48 % (20271)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)
% 0.19/0.48 % (20271)Refutation not found, incomplete strategy% (20271)------------------------------
% 0.19/0.48 % (20271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (20287)First to succeed.
% 0.19/0.48 % (20271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (20271)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (20271)Memory used [KB]: 5884
% 0.19/0.48 % (20271)Time elapsed: 0.075 s
% 0.19/0.48 % (20271)Instructions burned: 2 (million)
% 0.19/0.48 % (20271)------------------------------
% 0.19/0.48 % (20271)------------------------------
% 0.19/0.48 % (20287)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (20287)------------------------------
% 0.19/0.48 % (20287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (20287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (20287)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (20287)Memory used [KB]: 6140
% 0.19/0.48 % (20287)Time elapsed: 0.066 s
% 0.19/0.48 % (20287)Instructions burned: 11 (million)
% 0.19/0.48 % (20287)------------------------------
% 0.19/0.48 % (20287)------------------------------
% 0.19/0.48 % (20263)Success in time 0.139 s
%------------------------------------------------------------------------------