TSTP Solution File: DAT082_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT082_1 : 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_sat --cores 0 -t %d %s
% Computer : n028.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 16:04:50 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 31 ( 15 unt; 16 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 42 ( 0 atm; 9 fun; 29 num; 4 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_12,type,
sK0: ( $int * list ) > $int ).
tff(func_def_13,type,
sK1: ( $int * list ) > list ).
tff(func_def_14,type,
sK2: ( $int * list ) > list ).
tff(func_def_15,type,
sK3: ( $int * list ) > $int ).
tff(func_def_16,type,
sK4: ( $int * list ) > list ).
tff(func_def_17,type,
sK5: ( $int * list ) > $int ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f169,plain,
$false,
inference(evaluation,[],[f168]) ).
tff(f168,plain,
2 != $sum(2,0),
inference(forward_demodulation,[],[f167,f75]) ).
tff(f75,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
0 = length(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f167,plain,
2 != $sum(2,length(nil)),
inference(evaluation,[],[f166]) ).
tff(f166,plain,
2 != $sum(1,$sum(1,length(nil))),
inference(forward_demodulation,[],[f165,f80]) ).
tff(f80,plain,
! [X0: list,X1: $int] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0: list,X1: $int] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(rectify,[],[f35]) ).
tff(f35,plain,
! [X1: list,X0: $int] : ( $sum(1,length(X1)) = length(cons(X0,X1)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3: $int,X4: list] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).
tff(f165,plain,
2 != $sum(1,length(cons(2,nil))),
inference(superposition,[],[f70,f80]) ).
tff(f70,plain,
2 != length(cons(1,cons(2,nil))),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
2 != length(cons(1,cons(2,nil))),
inference(flattening,[],[f16]) ).
tff(f16,negated_conjecture,
( ( ~ 2 )
= length(cons(1,cons(2,nil))) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
2 = length(cons(1,cons(2,nil))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : DAT082=1 : TPTP v8.1.0. Released v6.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:30:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.47 % (10729)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)
% 0.21/0.48 % (10736)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.48 % (10736)First to succeed.
% 0.21/0.48 % (10744)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.49 % (10736)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (10736)------------------------------
% 0.21/0.49 % (10736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (10736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (10736)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (10736)Memory used [KB]: 5500
% 0.21/0.49 % (10736)Time elapsed: 0.085 s
% 0.21/0.49 % (10736)Instructions burned: 7 (million)
% 0.21/0.49 % (10736)------------------------------
% 0.21/0.49 % (10736)------------------------------
% 0.21/0.49 % (10725)Success in time 0.134 s
%------------------------------------------------------------------------------