TSTP Solution File: ARI081_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI081_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n001.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 15:45:23 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 23 ( 8 ~; 0 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 61 ( 0 atm; 16 fun; 35 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 4 !; 6 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(f25,plain,
$false,
inference(subsumption_resolution,[],[f24,f22]) ).
tff(f22,plain,
13 = sK0,
inference(evaluation,[],[f21]) ).
tff(f21,plain,
$sum(6,7) = sK0,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( $sum(6,7) = sK0 )
& ( $sum(7,6) = sK1 )
& ( sK0 != sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
( ( $sum(6,7) = X0 )
& ( $sum(7,6) = X1 )
& ( X0 != X1 ) )
=> ( ( $sum(6,7) = sK0 )
& ( $sum(7,6) = sK1 )
& ( sK0 != sK1 ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ( $sum(6,7) = X0 )
& ( $sum(7,6) = X1 )
& ( X0 != X1 ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X1: $int,X0: $int] :
( ( X0 != X1 )
& ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
( ( ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
( ( ( $sum(7,6) = X1 )
& ( $sum(6,7) = X0 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communative_sum_6_7) ).
tff(f24,plain,
13 != sK0,
inference(superposition,[],[f19,f23]) ).
tff(f23,plain,
13 = sK1,
inference(evaluation,[],[f20]) ).
tff(f20,plain,
$sum(7,6) = sK1,
inference(cnf_transformation,[],[f18]) ).
tff(f19,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI081=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.13/0.34 % Computer : n001.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 : Mon Aug 29 15:41:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.57 % (25731)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.19/0.57 % (25732)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.19/0.57 % (25739)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (25739)Instruction limit reached!
% 0.19/0.57 % (25739)------------------------------
% 0.19/0.57 % (25739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25739)Termination reason: Unknown
% 0.19/0.57 % (25739)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (25739)Memory used [KB]: 5373
% 0.19/0.57 % (25739)Time elapsed: 0.003 s
% 0.19/0.57 % (25739)Instructions burned: 2 (million)
% 0.19/0.57 % (25739)------------------------------
% 0.19/0.57 % (25739)------------------------------
% 0.19/0.57 % (25731)First to succeed.
% 0.19/0.58 % (25731)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (25731)------------------------------
% 0.19/0.58 % (25731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (25731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (25731)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (25731)Memory used [KB]: 5373
% 0.19/0.58 % (25731)Time elapsed: 0.148 s
% 0.19/0.58 % (25731)Instructions burned: 1 (million)
% 0.19/0.58 % (25731)------------------------------
% 0.19/0.58 % (25731)------------------------------
% 0.19/0.58 % (25722)Success in time 0.228 s
%------------------------------------------------------------------------------