TSTP Solution File: NUM016-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM016-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n024.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 18:03:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 66 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 24 ~; 27 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f47,f56,f58,f61,f64]) ).
fof(f64,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| ~ spl1_3 ),
inference(resolution,[],[f45,f1]) ).
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nothing_is_less_than_itself) ).
fof(f45,plain,
( less(sF0,sF0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl1_3
<=> less(sF0,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f61,plain,
( spl1_1
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f59,f49,f28]) ).
fof(f28,plain,
( spl1_1
<=> prime(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f49,plain,
( spl1_4
<=> less(sF0,prime_divisor(sF0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f59,plain,
( prime(sF0)
| ~ spl1_4 ),
inference(resolution,[],[f51,f20]) ).
fof(f20,plain,
! [X0] :
( ~ less(X0,prime_divisor(X0))
| prime(X0) ),
inference(resolution,[],[f8,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ divides(X0,X1)
| ~ less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',small_divides_large) ).
fof(f8,axiom,
! [X0] :
( divides(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',division_by_prime_divisor) ).
fof(f51,plain,
( less(sF0,prime_divisor(sF0))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f58,plain,
( spl1_1
| spl1_5 ),
inference(avatar_split_clause,[],[f57,f53,f28]) ).
fof(f53,plain,
( spl1_5
<=> prime(prime_divisor(sF0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f57,plain,
( prime(sF0)
| spl1_5 ),
inference(resolution,[],[f55,f9]) ).
fof(f9,axiom,
! [X0] :
( prime(prime_divisor(X0))
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_divsiors) ).
fof(f55,plain,
( ~ prime(prime_divisor(sF0))
| spl1_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( spl1_4
| ~ spl1_5
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f38,f32,f53,f49]) ).
fof(f32,plain,
( spl1_2
<=> less(a,prime_divisor(sF0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f38,plain,
( ~ prime(prime_divisor(sF0))
| less(sF0,prime_divisor(sF0))
| ~ spl1_2 ),
inference(resolution,[],[f14,f34]) ).
fof(f34,plain,
( less(a,prime_divisor(sF0))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f14,plain,
! [X0] :
( ~ less(a,X0)
| less(sF0,X0)
| ~ prime(X0) ),
inference(definition_folding,[],[f12,f13]) ).
fof(f13,plain,
factorial_plus_one(a) = sF0,
introduced(function_definition,[]) ).
fof(f12,axiom,
! [X0] :
( ~ less(a,X0)
| less(factorial_plus_one(a),X0)
| ~ prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_another_prime) ).
fof(f47,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f37,f43,f28]) ).
fof(f37,plain,
( less(sF0,sF0)
| ~ prime(sF0) ),
inference(resolution,[],[f14,f15]) ).
fof(f15,plain,
less(a,sF0),
inference(superposition,[],[f6,f13]) ).
fof(f6,axiom,
! [X0] : less(X0,factorial_plus_one(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_prime_is_less_than_the_next_one) ).
fof(f35,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f26,f32,f28]) ).
fof(f26,plain,
( less(a,prime_divisor(sF0))
| prime(sF0) ),
inference(resolution,[],[f24,f8]) ).
fof(f24,plain,
! [X0] :
( ~ divides(X0,sF0)
| less(a,X0) ),
inference(superposition,[],[f7,f13]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ divides(X0,factorial_plus_one(X1))
| less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_is_smaller) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % 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 : n024.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 : Tue Aug 30 05:51:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (29359)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (29356)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)
% 0.20/0.51 % (29356)Refutation not found, incomplete strategy% (29356)------------------------------
% 0.20/0.51 % (29356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (29356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (29356)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (29356)Memory used [KB]: 5373
% 0.20/0.51 % (29356)Time elapsed: 0.109 s
% 0.20/0.51 % (29356)Instructions burned: 2 (million)
% 0.20/0.51 % (29356)------------------------------
% 0.20/0.51 % (29356)------------------------------
% 0.20/0.51 % (29358)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)
% 0.20/0.51 % (29376)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (29358)First to succeed.
% 0.20/0.51 % (29376)Also succeeded, but the first one will report.
% 0.20/0.51 % (29358)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (29358)------------------------------
% 0.20/0.51 % (29358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (29358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (29358)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (29358)Memory used [KB]: 5373
% 0.20/0.51 % (29358)Time elapsed: 0.105 s
% 0.20/0.51 % (29358)Instructions burned: 2 (million)
% 0.20/0.51 % (29358)------------------------------
% 0.20/0.51 % (29358)------------------------------
% 0.20/0.51 % (29354)Success in time 0.166 s
%------------------------------------------------------------------------------