TSTP Solution File: HEN009-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN009-2 : 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 : n002.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 16:24:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 69 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 34 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f267,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f264,f266]) ).
fof(f266,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f261,f164]) ).
fof(f164,plain,
~ less_equal(idQa,idQ__idQ_idQa),
inference(subsumption_resolution,[],[f162,f21]) ).
fof(f21,axiom,
idQa != idQ__idQ_idQa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_inversion_equals_three) ).
fof(f162,plain,
( ~ less_equal(idQa,idQ__idQ_idQa)
| idQa = idQ__idQ_idQa ),
inference(resolution,[],[f150,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f150,plain,
less_equal(idQ__idQ_idQa,idQa),
inference(subsumption_resolution,[],[f142,f83]) ).
fof(f83,plain,
less_equal(idQ_idQa,idQ_idQa),
inference(resolution,[],[f35,f19]) ).
fof(f19,axiom,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa) ).
fof(f35,plain,
! [X10,X11] :
( ~ quotient(X10,idQa,X11)
| less_equal(X11,idQ_idQa) ),
inference(subsumption_resolution,[],[f34,f7]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f34,plain,
! [X10,X11] :
( ~ less_equal(X10,identity)
| less_equal(X11,idQ_idQa)
| ~ quotient(X10,idQa,X11) ),
inference(resolution,[],[f19,f17]) ).
fof(f17,axiom,
! [X2,X10,X0,X1,X9] :
( ~ quotient(X1,X2,X10)
| ~ quotient(X0,X2,X9)
| less_equal(X9,X10)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz) ).
fof(f142,plain,
( ~ less_equal(idQ_idQa,idQ_idQa)
| less_equal(idQ__idQ_idQa,idQa) ),
inference(resolution,[],[f37,f19]) ).
fof(f37,plain,
! [X6,X5] :
( ~ quotient(identity,X5,X6)
| ~ less_equal(X6,idQ_idQa)
| less_equal(idQ__idQ_idQa,X5) ),
inference(resolution,[],[f20,f15]) ).
fof(f15,axiom,
! [X2,X10,X0,X1,X9] :
( ~ quotient(X0,X2,X10)
| ~ quotient(X0,X1,X9)
| ~ less_equal(X9,X2)
| less_equal(X10,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f20,axiom,
quotient(identity,idQ_idQa,idQ__idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
fof(f261,plain,
( less_equal(idQa,idQ__idQ_idQa)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl0_11
<=> less_equal(idQa,idQ__idQ_idQa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f264,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl0_10 ),
inference(subsumption_resolution,[],[f257,f126]) ).
fof(f126,plain,
less_equal(idQ_idQa,a),
inference(subsumption_resolution,[],[f117,f68]) ).
fof(f68,plain,
less_equal(idQa,idQa),
inference(resolution,[],[f28,f18]) ).
fof(f18,axiom,
quotient(identity,a,idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f28,plain,
! [X10,X11] :
( ~ quotient(X10,a,X11)
| less_equal(X11,idQa) ),
inference(subsumption_resolution,[],[f27,f7]) ).
fof(f27,plain,
! [X10,X11] :
( less_equal(X11,idQa)
| ~ quotient(X10,a,X11)
| ~ less_equal(X10,identity) ),
inference(resolution,[],[f18,f17]) ).
fof(f117,plain,
( ~ less_equal(idQa,idQa)
| less_equal(idQ_idQa,a) ),
inference(resolution,[],[f30,f18]) ).
fof(f30,plain,
! [X6,X5] :
( ~ quotient(identity,X5,X6)
| less_equal(idQ_idQa,X5)
| ~ less_equal(X6,idQa) ),
inference(resolution,[],[f19,f15]) ).
fof(f257,plain,
( ~ less_equal(idQ_idQa,a)
| spl0_10 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_10
<=> less_equal(idQ_idQa,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f262,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f110,f259,f255]) ).
fof(f110,plain,
( less_equal(idQa,idQ__idQ_idQa)
| ~ less_equal(idQ_idQa,a) ),
inference(resolution,[],[f24,f20]) ).
fof(f24,plain,
! [X8,X7] :
( ~ quotient(identity,X7,X8)
| ~ less_equal(X7,a)
| less_equal(idQa,X8) ),
inference(resolution,[],[f18,f16]) ).
fof(f16,axiom,
! [X2,X10,X0,X1,X9] :
( ~ quotient(X2,X1,X9)
| ~ quotient(X2,X0,X10)
| ~ less_equal(X0,X1)
| less_equal(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.13/0.34 % Computer : n002.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 : Mon Aug 29 23:06:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (16549)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50 % (16561)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (16553)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (16547)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)
% 0.19/0.51 % (16553)Instruction limit reached!
% 0.19/0.51 % (16553)------------------------------
% 0.19/0.51 % (16553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16553)Termination reason: Unknown
% 0.19/0.51 % (16553)Termination phase: Finite model building constraint generation
% 0.19/0.51
% 0.19/0.51 % (16553)Memory used [KB]: 6140
% 0.19/0.51 % (16553)Time elapsed: 0.067 s
% 0.19/0.51 % (16553)Instructions burned: 8 (million)
% 0.19/0.51 % (16553)------------------------------
% 0.19/0.51 % (16553)------------------------------
% 0.19/0.51 % (16547)First to succeed.
% 0.19/0.51 % (16547)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (16547)------------------------------
% 0.19/0.51 % (16547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16547)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (16547)Memory used [KB]: 6012
% 0.19/0.51 % (16547)Time elapsed: 0.108 s
% 0.19/0.51 % (16547)Instructions burned: 9 (million)
% 0.19/0.51 % (16547)------------------------------
% 0.19/0.51 % (16547)------------------------------
% 0.19/0.51 % (16537)Success in time 0.16 s
%------------------------------------------------------------------------------