TSTP Solution File: NUM839+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : 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 18:06:55 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 98 ( 31 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 40 ~; 36 |; 3 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 92 ( 85 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f631,plain,
$false,
inference(subsumption_resolution,[],[f627,f183]) ).
fof(f183,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ! [X2] : vplus(X0,X2) != X1
| X0 != X1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| X0 != X1 ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X34,X35] :
( ~ ? [X37] : vplus(X34,X37) = X35
| X34 != X35 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f627,plain,
vplus(vd328,vd330) = vplus(vplus(vd328,vd330),sK1(vplus(vd328,vd330),vplus(vd328,vd330))),
inference(backward_demodulation,[],[f285,f625]) ).
fof(f625,plain,
vd328 = vd329,
inference(subsumption_resolution,[],[f618,f382]) ).
fof(f382,plain,
~ greater(vd329,vd328),
inference(resolution,[],[f201,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X1),vplus(X2,X1))
| ~ greater(X0,X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X1),vplus(X2,X1))
| ~ greater(X0,X2) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1,X0,X2] :
( greater(vplus(X1,X0),vplus(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vplus(X1,X0),vplus(X2,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f201,plain,
~ greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[],[f130,f196]) ).
fof(f196,plain,
! [X2,X1] :
( ~ greater(X2,X1)
| ~ greater(X1,X2) ),
inference(resolution,[],[f158,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ less(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X27,X26] :
( ~ greater(X26,X27)
| ~ less(X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f158,plain,
! [X0,X1] :
( less(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( less(X0,X1)
| ~ greater(X1,X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X24,X25] :
( greater(X24,X25)
=> less(X25,X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f130,plain,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(204), 331, 0)') ).
fof(f618,plain,
( greater(vd329,vd328)
| vd328 = vd329 ),
inference(resolution,[],[f228,f139]) ).
fof(f139,plain,
~ greater(vd328,vd329),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
~ greater(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vd328,vd329),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(204), 332, 0)') ).
fof(f228,plain,
! [X2,X1] :
( greater(X2,X1)
| greater(X1,X2)
| X1 = X2 ),
inference(resolution,[],[f140,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ less(X1,X0) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X22,X23] :
( less(X22,X23)
=> greater(X23,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f140,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( greater(X1,X0)
| X0 = X1
| less(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X27,X26] :
( greater(X26,X27)
| X26 = X27
| less(X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f285,plain,
vplus(vd328,vd330) = vplus(vplus(vd329,vd330),sK1(vplus(vd328,vd330),vplus(vd329,vd330))),
inference(resolution,[],[f148,f130]) ).
fof(f148,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| vplus(X1,sK1(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( vplus(X1,sK1(X0,X1)) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f107,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X2] : vplus(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
<=> greater(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X32,X31] :
( greater(X32,X31)
<=> ? [X33] : vplus(X31,X33) = X32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:21:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (11828)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.44 % (11836)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.47 % (11836)First to succeed.
% 0.18/0.49 % (11836)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (11836)------------------------------
% 0.18/0.49 % (11836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (11836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (11836)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (11836)Memory used [KB]: 6012
% 0.18/0.49 % (11836)Time elapsed: 0.071 s
% 0.18/0.49 % (11836)Instructions burned: 32 (million)
% 0.18/0.49 % (11836)------------------------------
% 0.18/0.49 % (11836)------------------------------
% 0.18/0.49 % (11814)Success in time 0.147 s
%------------------------------------------------------------------------------