TSTP Solution File: ANA003-4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA003-4 : 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_uns --cores 0 -t %d %s
% Computer : n019.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 15:44:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 3 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 22 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f285,plain,
$false,
inference(unit_resulting_resolution,[],[f10,f276,f5]) ).
fof(f5,axiom,
! [X1] :
( ~ less_or_equal(half(X1),n0)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_and_half) ).
fof(f276,plain,
less_or_equal(half(epsilon_0),n0),
inference(subsumption_resolution,[],[f275,f6]) ).
fof(f6,axiom,
! [X3] :
( ~ less_or_equal(delta_1(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f275,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(half(epsilon_0),n0) ),
inference(subsumption_resolution,[],[f274,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ less_or_equal(delta_2(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f274,plain,
( less_or_equal(delta_2(half(epsilon_0)),n0)
| less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(half(epsilon_0),n0) ),
inference(resolution,[],[f259,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( ~ less_or_equal(minimum(X1,X2),n0)
| less_or_equal(X1,n0)
| less_or_equal(X2,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum9) ).
fof(f259,plain,
( less_or_equal(minimum(delta_1(half(epsilon_0)),delta_2(half(epsilon_0))),n0)
| less_or_equal(half(epsilon_0),n0) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f252,plain,
( less_or_equal(minimum(delta_1(half(epsilon_0)),delta_2(half(epsilon_0))),n0)
| less_or_equal(half(epsilon_0),n0)
| less_or_equal(minimum(delta_1(half(epsilon_0)),delta_2(half(epsilon_0))),n0) ),
inference(resolution,[],[f226,f14]) ).
fof(f14,plain,
! [X2,X3] :
( less_or_equal(absolute(add(xs(minimum(X2,X3)),negate(a_real_number))),X2)
| less_or_equal(minimum(X2,X3),n0) ),
inference(resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum3) ).
fof(f11,axiom,
! [X4] :
( less_or_equal(absolute(add(xs(X4),negate(a_real_number))),X4)
| less_or_equal(X4,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f226,plain,
! [X6] :
( ~ less_or_equal(absolute(add(xs(minimum(X6,delta_2(half(epsilon_0)))),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0)
| less_or_equal(minimum(X6,delta_2(half(epsilon_0))),n0) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
! [X6] :
( ~ less_or_equal(absolute(add(xs(minimum(X6,delta_2(half(epsilon_0)))),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(minimum(X6,delta_2(half(epsilon_0))),n0)
| less_or_equal(half(epsilon_0),n0)
| less_or_equal(minimum(X6,delta_2(half(epsilon_0))),n0) ),
inference(resolution,[],[f80,f13]) ).
fof(f13,plain,
! [X0,X1] :
( less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),X1)
| less_or_equal(minimum(X0,X1),n0) ),
inference(resolution,[],[f11,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum7) ).
fof(f80,plain,
! [X1] :
( ~ less_or_equal(absolute(add(xs(X1),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0)
| ~ less_or_equal(absolute(add(xs(X1),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X1,n0) ),
inference(duplicate_literal_removal,[],[f78]) ).
fof(f78,plain,
! [X1] :
( ~ less_or_equal(absolute(add(xs(X1),negate(a_real_number))),delta_1(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X1),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0)
| less_or_equal(X1,n0)
| less_or_equal(half(epsilon_0),n0) ),
inference(resolution,[],[f46,f8]) ).
fof(f8,axiom,
! [X3,X0] :
( less_or_equal(absolute(add(f(X0),negate(f(a_real_number)))),X3)
| ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_1(X3))
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f46,plain,
! [X0] :
( ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0)
| less_or_equal(half(epsilon_0),n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0))) ),
inference(resolution,[],[f25,f9]) ).
fof(f9,axiom,
! [X3,X0] :
( less_or_equal(absolute(add(g(X0),negate(g(a_real_number)))),X3)
| ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_2(X3))
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f25,plain,
! [X0] :
( ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0)) ),
inference(resolution,[],[f12,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X1,X2),X0)
| ~ less_or_equal(X1,half(X0))
| ~ less_or_equal(X2,half(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_sum_of_halves) ).
fof(f12,axiom,
! [X4] :
( ~ less_or_equal(add(absolute(add(f(xs(X4)),negate(f(a_real_number)))),absolute(add(g(xs(X4)),negate(g(a_real_number))))),epsilon_0)
| less_or_equal(X4,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_2) ).
fof(f10,axiom,
~ less_or_equal(epsilon_0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 : n019.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 : Mon Aug 29 15:14:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (2381)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.50 % (2397)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51 % (2404)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.51 % (2381)First to succeed.
% 0.19/0.52 % (2386)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53 % (2381)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (2381)------------------------------
% 0.19/0.53 % (2381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (2381)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (2381)Memory used [KB]: 1663
% 0.19/0.53 % (2381)Time elapsed: 0.125 s
% 0.19/0.53 % (2381)Instructions burned: 14 (million)
% 0.19/0.53 % (2381)------------------------------
% 0.19/0.53 % (2381)------------------------------
% 0.19/0.53 % (2379)Success in time 0.176 s
%------------------------------------------------------------------------------