TSTP Solution File: NUM839+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM839+2 : 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 : n011.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 14 unt; 0 def)
% Number of atoms : 94 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 38 ~; 33 |; 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 : 87 ( 80 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f831,plain,
$false,
inference(subsumption_resolution,[],[f817,f177]) ).
fof(f177,plain,
! [X2,X0] : vplus(X0,X2) != X0,
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| X0 != X1 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| X0 != X1 ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( X0 != X1
| ~ ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X35,X34] :
( X34 != X35
| ~ ? [X36] : vplus(X35,X36) = X34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f817,plain,
vplus(vd328,vd330) = vplus(vplus(vd328,vd330),sK1(vplus(vd328,vd330),vplus(vd328,vd330))),
inference(backward_demodulation,[],[f349,f808]) ).
fof(f808,plain,
vd328 = vd329,
inference(subsumption_resolution,[],[f800,f495]) ).
fof(f495,plain,
~ greater(vd329,vd328),
inference(resolution,[],[f282,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X2,X1,X0] :
( ~ greater(X2,X1)
| greater(vplus(X2,X0),vplus(X1,X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X2,X0] :
( greater(X2,X1)
=> greater(vplus(X2,X0),vplus(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f282,plain,
~ greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[],[f212,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ greater(X1,X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X26,X27] :
( ~ less(X26,X27)
| ~ greater(X26,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f212,plain,
less(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(resolution,[],[f161,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| less(X0,X1) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,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/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f161,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/sandbox2/benchmark/theBenchmark.p','holds(antec(204), 331, 0)') ).
fof(f800,plain,
( vd328 = vd329
| greater(vd329,vd328) ),
inference(resolution,[],[f251,f156]) ).
fof(f156,plain,
~ greater(vd328,vd329),
inference(cnf_transformation,[],[f46]) ).
fof(f46,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/sandbox2/benchmark/theBenchmark.p','holds(conseq(204), 332, 0)') ).
fof(f251,plain,
! [X6,X5] :
( greater(X6,X5)
| greater(X5,X6)
| X5 = X6 ),
inference(resolution,[],[f137,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( less(X1,X0)
=> greater(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X23,X22] :
( less(X22,X23)
=> greater(X23,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f137,plain,
! [X0,X1] :
( less(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( less(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X26,X27] :
( less(X26,X27)
| greater(X26,X27)
| X26 = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f349,plain,
vplus(vd328,vd330) = vplus(vplus(vd329,vd330),sK1(vplus(vd329,vd330),vplus(vd328,vd330))),
inference(resolution,[],[f135,f212]) ).
fof(f135,plain,
! [X0,X1] :
( ~ less(X0,X1)
| vplus(X0,sK1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( vplus(X0,sK1(X0,X1)) = X1
| ~ less(X0,X1) )
& ( less(X0,X1)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK1(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X0,X2) = X1
| ~ less(X0,X1) )
& ( less(X0,X1)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X0,X2) = X1
| ~ less(X0,X1) )
& ( less(X0,X1)
| ! [X2] : vplus(X0,X2) != X1 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
<=> less(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X29,X28] :
( ? [X30] : vplus(X29,X30) = X28
<=> less(X29,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n011.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 : Tue Aug 30 08:57:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (6232)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (6250)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (6232)Instruction limit reached!
% 0.19/0.51 % (6232)------------------------------
% 0.19/0.51 % (6232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6223)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (6229)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (6224)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (6232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6226)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)
% 0.19/0.52 % (6232)Termination reason: Unknown
% 0.19/0.52 % (6232)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (6232)Memory used [KB]: 1535
% 0.19/0.52 % (6232)Time elapsed: 0.091 s
% 0.19/0.52 % (6232)Instructions burned: 51 (million)
% 0.19/0.52 % (6232)------------------------------
% 0.19/0.52 % (6232)------------------------------
% 0.19/0.52 % (6250)First to succeed.
% 0.19/0.52 % (6250)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (6250)------------------------------
% 0.19/0.52 % (6250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6250)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (6250)Memory used [KB]: 6012
% 0.19/0.52 % (6250)Time elapsed: 0.122 s
% 0.19/0.52 % (6250)Instructions burned: 42 (million)
% 0.19/0.52 % (6250)------------------------------
% 0.19/0.52 % (6250)------------------------------
% 0.19/0.52 % (6219)Success in time 0.171 s
%------------------------------------------------------------------------------