TSTP Solution File: NUM918_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM918_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 : n014.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 18:02:52 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 13 unt; 2 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 55 ( 0 atm; 25 fun; 3 num; 27 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; 3 con; 0-2 aty)
% Number of variables : 27 ( 20 !; 7 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f39,plain,
$false,
inference(equality_resolution,[],[f35]) ).
tff(f35,plain,
! [X0: $int] : ( sK1 != X0 ),
inference(superposition,[],[f28,f6]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f28,plain,
! [X0: $int] : ( sK1 != $sum(X0,0) ),
inference(superposition,[],[f23,f8]) ).
tff(f8,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_145,[]) ).
tff(f23,plain,
! [X2: $int,X3: $int] : ( sK1 != $sum(X2,$sum(X3,$uminus(sK0))) ),
inference(superposition,[],[f19,f5]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
tff(f19,plain,
! [X2: $int] : ( sK1 != $sum(X2,$uminus(sK0)) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X2: $int] : ( sK1 != $sum(X2,$uminus(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,$uminus(X0)) != X1 )
=> ! [X2: $int] : ( sK1 != $sum(X2,$uminus(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
! [X2: $int] : ( $sum(X2,$uminus(X0)) != X1 ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int] :
? [X2: $int] : ( $sum(X2,$uminus(X0)) = X1 ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
? [X2: $int] : ( $difference(X2,X0) = X1 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
? [X2: $int] : ( $difference(X2,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM918=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:17:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % (32613)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)
% 0.21/0.52 % (32612)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)
% 0.21/0.53 % (32620)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)
% 0.21/0.53 % (32628)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (32612)First to succeed.
% 0.21/0.53 % (32621)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (32621)Instruction limit reached!
% 0.21/0.53 % (32621)------------------------------
% 0.21/0.53 % (32621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32621)Termination reason: Unknown
% 0.21/0.53 % (32621)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (32621)Memory used [KB]: 5373
% 0.21/0.53 % (32621)Time elapsed: 0.122 s
% 0.21/0.53 % (32621)Instructions burned: 2 (million)
% 0.21/0.53 % (32621)------------------------------
% 0.21/0.53 % (32621)------------------------------
% 0.21/0.53 % (32627)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)
% 0.21/0.53 % (32620)Instruction limit reached!
% 0.21/0.53 % (32620)------------------------------
% 0.21/0.53 % (32620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32627)Also succeeded, but the first one will report.
% 0.21/0.53 % (32612)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (32612)------------------------------
% 0.21/0.53 % (32612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32612)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (32612)Memory used [KB]: 5373
% 0.21/0.53 % (32612)Time elapsed: 0.112 s
% 0.21/0.53 % (32612)Instructions burned: 2 (million)
% 0.21/0.53 % (32612)------------------------------
% 0.21/0.53 % (32612)------------------------------
% 0.21/0.53 % (32604)Success in time 0.174 s
%------------------------------------------------------------------------------