TSTP Solution File: SYN039-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN039-1 : 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 : n017.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 19:25:16 EDT 2022
% Result : Unsatisfiable 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 62 ( 1 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 233 ( 115 ~; 109 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f237,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f41,f47,f63,f84,f91,f108,f147,f149,f157,f164,f170,f219,f236]) ).
fof(f236,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f225,f89,f32,f29]) ).
fof(f29,plain,
( spl0_1
<=> ! [X0] : ~ p(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f32,plain,
( spl0_2
<=> ! [X1] : ~ s(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f89,plain,
( spl0_8
<=> ! [X9,X11,X10] :
( s(f1(X9,X10),X11)
| ~ p(X9,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f225,plain,
( ! [X16] : ~ p(X16,X16)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f90,f33]) ).
fof(f33,plain,
( ! [X1] : ~ s(X1,X1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f90,plain,
( ! [X10,X11,X9] :
( s(f1(X9,X10),X11)
| ~ p(X9,X9) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f219,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f212,f33]) ).
fof(f212,plain,
( ! [X34,X32,X33] : s(f1(X32,X33),X34)
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f176,f167]) ).
fof(f167,plain,
( ! [X0,X1] : ~ q(X1,f1(X0,X1))
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f107,f30]) ).
fof(f30,plain,
( ! [X0] : ~ p(X0,X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f107,plain,
( ! [X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| ~ q(X1,f1(X0,X1)) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_9
<=> ! [X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| ~ q(X1,f1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f176,plain,
( ! [X10,X11,X12,X13] :
( q(f1(X10,X11),X13)
| s(f1(X10,X11),X12) )
| ~ spl0_1 ),
inference(resolution,[],[f30,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| s(f1(X0,X1),X3)
| q(f1(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_5) ).
fof(f170,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f168,f30]) ).
fof(f168,plain,
( ! [X0,X1] : p(f1(X0,X1),f1(X0,X1))
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f62,f40]) ).
fof(f40,plain,
( ! [X3,X0] : s(X3,X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_4
<=> ! [X0,X3] : s(X3,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f62,plain,
( ! [X0,X1] :
( ~ s(X1,X1)
| p(f1(X0,X1),f1(X0,X1)) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_7
<=> ! [X0,X1] :
( ~ s(X1,X1)
| p(f1(X0,X1),f1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f164,plain,
( spl0_1
| spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f162,f155,f32,f29]) ).
fof(f155,plain,
( spl0_11
<=> ! [X6,X5,X7] :
( s(X6,f1(X5,X7))
| ~ p(X5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f162,plain,
( ! [X10,X11] :
( ~ s(X11,X11)
| ~ p(X10,X10) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f161,plain,
( ! [X10,X11] :
( ~ p(X10,X10)
| ~ p(X10,X10)
| ~ s(X11,X11) )
| ~ spl0_11 ),
inference(resolution,[],[f156,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ s(X0,f1(X0,X1))
| ~ p(X0,X0)
| ~ s(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
fof(f156,plain,
( ! [X6,X7,X5] :
( s(X6,f1(X5,X7))
| ~ p(X5,X5) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f157,plain,
( spl0_11
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f76,f35,f32,f155]) ).
fof(f35,plain,
( spl0_3
<=> ! [X2] : ~ q(X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f76,plain,
( ! [X8,X6,X7,X5] :
( ~ s(X8,X8)
| s(X6,f1(X5,X7))
| ~ p(X5,X5) )
| ~ spl0_3 ),
inference(resolution,[],[f73,f21]) ).
fof(f21,axiom,
! [X3,X0,X1] :
( ~ s(X0,f1(X0,X1))
| s(X3,X0)
| ~ s(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_21) ).
fof(f73,plain,
( ! [X14,X15,X13] :
( s(f1(X13,X14),X15)
| ~ p(X13,X13) )
| ~ spl0_3 ),
inference(resolution,[],[f14,f36]) ).
fof(f36,plain,
( ! [X2] : ~ q(X2,X2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( q(f1(X0,X1),X2)
| s(f1(X0,X1),X3)
| ~ p(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
fof(f149,plain,
( spl0_2
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f148,f35,f29,f32]) ).
fof(f148,plain,
( ! [X0] : ~ s(X0,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f98,f145]) ).
fof(f145,plain,
( ! [X16,X14,X15,X13] :
( ~ s(X16,X16)
| s(X13,f1(X14,X15)) )
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f133,f21]) ).
fof(f133,plain,
( ! [X34,X32,X33] : s(f1(X32,X33),X34)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f117,f36]) ).
fof(f117,plain,
( ! [X2,X3,X0,X1] :
( q(f1(X0,X1),X3)
| s(f1(X0,X1),X2) )
| ~ spl0_1 ),
inference(resolution,[],[f5,f30]) ).
fof(f98,plain,
( ! [X0,X1] :
( ~ s(X0,X0)
| ~ s(X1,f1(X1,X0)) )
| ~ spl0_1 ),
inference(resolution,[],[f3,f30]) ).
fof(f3,axiom,
! [X0,X1] :
( p(f1(X0,X1),f1(X0,X1))
| ~ s(X1,X1)
| ~ s(X0,f1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_3) ).
fof(f147,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f133,f33]) ).
fof(f108,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f35,f106]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ q(X2,X2)
| p(f1(X0,X1),f1(X0,X1))
| ~ q(X1,f1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_7) ).
fof(f91,plain,
( spl0_8
| spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f72,f45,f29,f89]) ).
fof(f45,plain,
( spl0_5
<=> ! [X0,X1] :
( ~ p(X0,X0)
| ~ q(X1,f1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f72,plain,
( ! [X10,X11,X9,X12] :
( ~ p(X12,X12)
| s(f1(X9,X10),X11)
| ~ p(X9,X9) )
| ~ spl0_5 ),
inference(resolution,[],[f14,f46]) ).
fof(f46,plain,
( ! [X0,X1] :
( ~ q(X1,f1(X0,X1))
| ~ p(X0,X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f84,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f74,f35,f32,f29]) ).
fof(f74,plain,
( ! [X0] : ~ p(X0,X0)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f73,f33]) ).
fof(f63,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f9,f35,f61]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ q(X2,X2)
| ~ s(X1,X1)
| p(f1(X0,X1),f1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_9) ).
fof(f47,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f16,f35,f45]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ q(X2,X2)
| ~ p(X0,X0)
| ~ q(X1,f1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
fof(f41,plain,
( spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f27,f35,f32,f39]) ).
fof(f27,axiom,
! [X2,X3,X0,X1] :
( ~ q(X2,X2)
| ~ s(X1,X1)
| s(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_27) ).
fof(f37,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f35,f32,f29]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ q(X2,X2)
| ~ s(X1,X1)
| ~ p(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SYN039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Tue Aug 30 20:47:05 EDT 2022
% 0.10/0.35 % CPUTime :
% 0.16/0.50 % (15823)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50 % (15830)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.50 % (15820)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)
% 0.16/0.50 % (15828)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.16/0.50 % (15822)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.50 % (15831)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.16/0.51 % (15838)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)
% 0.16/0.51 % (15839)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.16/0.51 % (15830)Instruction limit reached!
% 0.16/0.51 % (15830)------------------------------
% 0.16/0.51 % (15830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (15830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (15830)Termination reason: Unknown
% 0.16/0.51 % (15830)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (15830)Memory used [KB]: 5756
% 0.16/0.51 % (15830)Time elapsed: 0.004 s
% 0.16/0.51 % (15830)Instructions burned: 2 (million)
% 0.16/0.51 % (15830)------------------------------
% 0.16/0.51 % (15830)------------------------------
% 0.16/0.51 % (15822)Instruction limit reached!
% 0.16/0.51 % (15822)------------------------------
% 0.16/0.51 % (15822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (15822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (15822)Termination reason: Unknown
% 0.16/0.51 % (15822)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (15822)Memory used [KB]: 5884
% 0.16/0.51 % (15822)Time elapsed: 0.106 s
% 0.16/0.51 % (15822)Instructions burned: 4 (million)
% 0.16/0.51 % (15822)------------------------------
% 0.16/0.51 % (15822)------------------------------
% 0.16/0.52 % (15836)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.16/0.52 % (15831)Instruction limit reached!
% 0.16/0.52 % (15831)------------------------------
% 0.16/0.52 % (15831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (15831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (15831)Termination reason: Unknown
% 0.16/0.52 % (15831)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (15831)Memory used [KB]: 5884
% 0.16/0.52 % (15831)Time elapsed: 0.109 s
% 0.16/0.52 % (15831)Instructions burned: 8 (million)
% 0.16/0.52 % (15831)------------------------------
% 0.16/0.52 % (15831)------------------------------
% 0.16/0.52 % (15823)First to succeed.
% 0.16/0.52 % (15823)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (15823)------------------------------
% 0.16/0.53 % (15823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (15823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (15823)Termination reason: Refutation
% 0.16/0.53
% 0.16/0.53 % (15823)Memory used [KB]: 5884
% 0.16/0.53 % (15823)Time elapsed: 0.120 s
% 0.16/0.53 % (15823)Instructions burned: 7 (million)
% 0.16/0.53 % (15823)------------------------------
% 0.16/0.53 % (15823)------------------------------
% 0.16/0.53 % (15813)Success in time 0.165 s
%------------------------------------------------------------------------------