TSTP Solution File: SWV849-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV849-1 : 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 : n028.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 19:01:50 EDT 2022
% Result : Unsatisfiable 1.78s 0.65s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 104 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 129 ( 64 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f548,plain,
$false,
inference(subsumption_resolution,[],[f547,f531]) ).
fof(f531,plain,
~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)),
inference(subsumption_resolution,[],[f530,f526]) ).
fof(f526,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(subsumption_resolution,[],[f523,f519]) ).
fof(f519,plain,
! [X99] :
( ~ hBOOL(hAPP(hAPP(v_P,X99),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(trivial_inequality_removal,[],[f510]) ).
fof(f510,plain,
! [X99] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(hAPP(v_P,X99),v_s1))
| c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(definition_unfolding,[],[f472,f462,f463]) ).
fof(f463,axiom,
v_ca = v_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f462,axiom,
v_ba = v_b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f472,axiom,
! [X99] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(v_b,v_s2))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(hAPP(v_P,X99),v_s1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
fof(f523,plain,
! [X0] :
( ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(resolution,[],[f522,f465]) ).
fof(f465,axiom,
! [X20] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,X20,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X20),v_G)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f522,plain,
! [X100] :
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X100),v_s1))
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(trivial_inequality_removal,[],[f514]) ).
fof(f514,plain,
! [X100] :
( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X100),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(definition_unfolding,[],[f474,f462,f463]) ).
fof(f474,axiom,
! [X100] :
( ~ hBOOL(hAPP(v_b,v_s2))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X100),v_s1))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_15) ).
fof(f530,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| hBOOL(hAPP(v_b,v_s2)) ),
inference(resolution,[],[f528,f466]) ).
fof(f466,axiom,
( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
| hBOOL(hAPP(v_b,v_s2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f528,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(subsumption_resolution,[],[f524,f520]) ).
fof(f520,plain,
! [X99] :
( ~ hBOOL(hAPP(hAPP(v_P,X99),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| hBOOL(hAPP(hAPP(v_P,X99),v_s2)) ),
inference(trivial_inequality_removal,[],[f511]) ).
fof(f511,plain,
! [X99] :
( ~ hBOOL(hAPP(hAPP(v_P,X99),v_s1))
| hBOOL(hAPP(hAPP(v_P,X99),v_s2))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c) ),
inference(definition_unfolding,[],[f471,f462,f463]) ).
fof(f471,axiom,
! [X99] :
( hBOOL(hAPP(hAPP(v_P,X99),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X99),v_s1))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f524,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(resolution,[],[f521,f465]) ).
fof(f521,plain,
! [X100] :
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X100),v_s1))
| hBOOL(hAPP(hAPP(v_P,X100),v_s2)) ),
inference(trivial_inequality_removal,[],[f517]) ).
fof(f517,plain,
! [X100] :
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X100),v_s1))
| c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
| hBOOL(hAPP(hAPP(v_P,X100),v_s2)) ),
inference(definition_unfolding,[],[f473,f462,f463]) ).
fof(f473,axiom,
! [X100] :
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| hBOOL(hAPP(hAPP(v_P,X100),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X100),v_s1))
| c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_14) ).
fof(f547,plain,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)),
inference(resolution,[],[f546,f464]) ).
fof(f464,axiom,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f546,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0))
| hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(subsumption_resolution,[],[f545,f515]) ).
fof(f515,plain,
hBOOL(hAPP(v_b,v_s0)),
inference(definition_unfolding,[],[f459,f462]) ).
fof(f459,axiom,
hBOOL(hAPP(v_ba,v_s0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f545,plain,
! [X0] :
( ~ hBOOL(hAPP(v_b,v_s0))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0))
| hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(resolution,[],[f544,f516]) ).
fof(f516,plain,
c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
inference(definition_unfolding,[],[f460,f463]) ).
fof(f460,axiom,
c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f544,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X0,v_na,X1)
| ~ hBOOL(hAPP(v_b,X0))
| ~ hBOOL(hAPP(hAPP(v_P,X2),X0))
| hBOOL(hAPP(hAPP(v_P,X2),X1)) ),
inference(subsumption_resolution,[],[f533,f538]) ).
fof(f538,plain,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)),
inference(subsumption_resolution,[],[f537,f531]) ).
fof(f537,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))
| hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)) ),
inference(resolution,[],[f535,f464]) ).
fof(f535,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0))
| hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)) ),
inference(subsumption_resolution,[],[f534,f515]) ).
fof(f534,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))
| hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ hBOOL(hAPP(v_b,v_s0)) ),
inference(resolution,[],[f475,f516]) ).
fof(f475,axiom,
! [X90,X44,X99,X95] :
( ~ c_Natural_Oevaln(v_c,X44,X95,X90)
| ~ hBOOL(hAPP(hAPP(v_P,X99),X44))
| ~ hBOOL(hAPP(v_b,X44))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X95)),v_G))
| hBOOL(hAPP(hAPP(v_P,X99),X90)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_16) ).
fof(f533,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,X2),X0))
| hBOOL(hAPP(hAPP(v_P,X2),X1))
| ~ hBOOL(hAPP(v_b,X0))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))
| ~ c_Natural_Oevaln(v_c,X0,v_na,X1) ),
inference(resolution,[],[f476,f465]) ).
fof(f476,axiom,
! [X101,X95,X102,X100] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X95,v_n(X95),t_a)
| ~ hBOOL(hAPP(v_b,X102))
| ~ c_Natural_Oevaln(v_c,X102,X95,X101)
| ~ hBOOL(hAPP(hAPP(v_P,X100),X102))
| hBOOL(hAPP(hAPP(v_P,X100),X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV849-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 20:10:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.57 % (13702)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58 % (13710)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.58 % (13702)Instruction limit reached!
% 0.21/0.58 % (13702)------------------------------
% 0.21/0.58 % (13702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (13702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (13702)Termination reason: Unknown
% 0.21/0.58 % (13702)Termination phase: Function definition elimination
% 0.21/0.58
% 0.21/0.58 % (13702)Memory used [KB]: 1407
% 0.21/0.58 % (13702)Time elapsed: 0.004 s
% 0.21/0.58 % (13702)Instructions burned: 2 (million)
% 0.21/0.58 % (13702)------------------------------
% 0.21/0.58 % (13702)------------------------------
% 0.21/0.58 % (13718)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.59 % (13700)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)
% 0.21/0.60 % (13716)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.43/0.60 % (13708)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.43/0.61 % (13701)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.78/0.63 % (13716)First to succeed.
% 1.78/0.63 % (13694)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)
% 1.78/0.64 % (13701)Instruction limit reached!
% 1.78/0.64 % (13701)------------------------------
% 1.78/0.64 % (13701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.64 % (13701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.64 % (13701)Termination reason: Unknown
% 1.78/0.64 % (13701)Termination phase: Property scanning
% 1.78/0.64
% 1.78/0.64 % (13701)Memory used [KB]: 1407
% 1.78/0.64 % (13701)Time elapsed: 0.007 s
% 1.78/0.64 % (13701)Instructions burned: 7 (million)
% 1.78/0.64 % (13701)------------------------------
% 1.78/0.64 % (13701)------------------------------
% 1.78/0.64 % (13699)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.78/0.64 % (13697)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)
% 1.78/0.64 % (13717)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.78/0.64 % (13698)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.78/0.65 % (13706)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.78/0.65 % (13709)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.78/0.65 % (13719)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.78/0.65 % (13716)Refutation found. Thanks to Tanya!
% 1.78/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.78/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.65 % (13716)------------------------------
% 1.78/0.65 % (13716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.65 % (13716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.65 % (13716)Termination reason: Refutation
% 1.78/0.65
% 1.78/0.65 % (13716)Memory used [KB]: 1535
% 1.78/0.65 % (13716)Time elapsed: 0.160 s
% 1.78/0.65 % (13716)Instructions burned: 23 (million)
% 1.78/0.65 % (13716)------------------------------
% 1.78/0.65 % (13716)------------------------------
% 1.78/0.65 % (13693)Success in time 0.291 s
%------------------------------------------------------------------------------