TSTP Solution File: SWW592_2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW592_2 : TPTP v8.1.0. Released v6.1.0.
% 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 : n012.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 19:08:04 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 43 ( 8 unt; 27 typ; 0 def)
% Number of atoms : 35 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 37 ( 18 ~; 0 |; 10 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 167 ( 9 atm; 10 fun; 141 num; 7 var)
% Number of types : 7 ( 5 usr; 1 ari)
% Number of type conns : 21 ( 12 >; 9 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 21 usr; 12 con; 0-4 aty)
% Number of variables : 10 ( 7 !; 3 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
t1: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
fib1: $int > $int ).
tff(func_def_17,type,
abs1: $int > $int ).
tff(func_def_21,type,
t: ty ).
tff(func_def_22,type,
mk_t1: ( $int * $int * $int * $int ) > t1 ).
tff(func_def_23,type,
a111: t1 > $int ).
tff(func_def_24,type,
a121: t1 > $int ).
tff(func_def_25,type,
a211: t1 > $int ).
tff(func_def_26,type,
a221: t1 > $int ).
tff(func_def_27,type,
mult1: ( t1 * t1 ) > t1 ).
tff(func_def_28,type,
power1: ( t1 * $int ) > t1 ).
tff(func_def_30,type,
sK0: $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(f125,plain,
$false,
inference(subsumption_resolution,[],[f124,f119]) ).
tff(f119,plain,
! [X0: t1] : ( mk_t1(1,0,0,1) = power1(X0,0) ),
inference(cnf_transformation,[],[f73]) ).
tff(f73,plain,
! [X0: t1] : ( mk_t1(1,0,0,1) = power1(X0,0) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X1: t1] : ( mk_t1(1,0,0,1) = power1(X1,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_0) ).
tff(f124,plain,
mk_t1(1,0,0,1) != power1(mk_t1(1,1,1,0),0),
inference(backward_demodulation,[],[f123,f111]) ).
tff(f111,plain,
0 = sK0,
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
( ( mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),sK0) )
& ( 0 = sK0 )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f93,f98]) ).
tff(f98,plain,
( ? [X0: $int] :
( ( mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),X0) )
& ( 0 = X0 )
& ~ $less(X0,0) )
=> ( ( mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),sK0) )
& ( 0 = sK0 )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f93,plain,
? [X0: $int] :
( ( mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),X0) )
& ( 0 = X0 )
& ~ $less(X0,0) ),
inference(flattening,[],[f92]) ).
tff(f92,plain,
? [X0: $int] :
( ( mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),X0) )
& ( 0 = X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f70]) ).
tff(f70,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( 0 = X0 )
=> ( mk_t1($sum(1,0),0,0,1) = power1(mk_t1(1,1,1,0),X0) ) ) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
~ ! [X8: $int] :
( ~ $less(X8,0)
=> ( ( 0 = X8 )
=> ( power1(mk_t1(1,1,1,0),X8) = mk_t1($sum(1,0),0,0,1) ) ) ),
inference(theory_normalization,[],[f35]) ).
tff(f35,negated_conjecture,
~ ! [X8: $int] :
( $lesseq(0,X8)
=> ( ( 0 = X8 )
=> ( power1(mk_t1(1,1,1,0),X8) = mk_t1($sum(1,0),0,0,1) ) ) ),
inference(negated_conjecture,[],[f34]) ).
tff(f34,conjecture,
! [X8: $int] :
( $lesseq(0,X8)
=> ( ( 0 = X8 )
=> ( power1(mk_t1(1,1,1,0),X8) = mk_t1($sum(1,0),0,0,1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_logfib) ).
tff(f123,plain,
mk_t1(1,0,0,1) != power1(mk_t1(1,1,1,0),sK0),
inference(evaluation,[],[f112]) ).
tff(f112,plain,
mk_t1($sum(1,0),0,0,1) != power1(mk_t1(1,1,1,0),sK0),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW592=2 : TPTP v8.1.0. Released v6.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 20:53:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (21449)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.49 % (21461)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.49 % (21453)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (21465)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.49 % (21445)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.19/0.50 % (21457)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (21445)First to succeed.
% 0.19/0.50 % (21448)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (21451)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (21452)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.51 % (21448)Instruction limit reached!
% 0.19/0.51 % (21448)------------------------------
% 0.19/0.51 % (21448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (21448)Termination reason: Unknown
% 0.19/0.51 % (21448)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (21448)Memory used [KB]: 1023
% 0.19/0.51 % (21448)Time elapsed: 0.003 s
% 0.19/0.51 % (21448)Instructions burned: 3 (million)
% 0.19/0.51 % (21448)------------------------------
% 0.19/0.51 % (21448)------------------------------
% 0.19/0.51 % (21450)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (21451)Instruction limit reached!
% 0.19/0.51 % (21451)------------------------------
% 0.19/0.51 % (21451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (21451)Termination reason: Unknown
% 0.19/0.51 % (21451)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (21451)Memory used [KB]: 1023
% 0.19/0.51 % (21451)Time elapsed: 0.002 s
% 0.19/0.51 % (21451)Instructions burned: 2 (million)
% 0.19/0.51 % (21451)------------------------------
% 0.19/0.51 % (21451)------------------------------
% 0.19/0.51 % (21461)Also succeeded, but the first one will report.
% 0.19/0.51 % (21445)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (21445)------------------------------
% 0.19/0.51 % (21445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (21445)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (21445)Memory used [KB]: 5500
% 0.19/0.51 % (21445)Time elapsed: 0.008 s
% 0.19/0.51 % (21445)Instructions burned: 4 (million)
% 0.19/0.51 % (21445)------------------------------
% 0.19/0.51 % (21445)------------------------------
% 0.19/0.51 % (21438)Success in time 0.161 s
%------------------------------------------------------------------------------