TSTP Solution File: SWV911-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV911-1 : 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_uns --cores 0 -t %d %s
% Computer : n005.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 18:54:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f589,plain,
$false,
inference(avatar_sat_refutation,[],[f575,f585,f588]) ).
fof(f588,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f586,f570]) ).
fof(f570,plain,
( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f568,plain,
( spl0_1
<=> hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f586,plain,
~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(resolution,[],[f581,f579]) ).
fof(f579,plain,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(resolution,[],[f532,f529]) ).
fof(f529,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f532,axiom,
! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f581,plain,
! [X1] :
( hBOOL(hAPP(hAPP(v_Q_H,X1),v_xb(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X1),v_xa)) ),
inference(resolution,[],[f533,f529]) ).
fof(f533,axiom,
! [X71,X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X64,X71),v_xa))
| hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f585,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f582,f572]) ).
fof(f572,plain,
( spl0_2
<=> hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f582,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(resolution,[],[f580,f576]) ).
fof(f576,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(resolution,[],[f531,f528]) ).
fof(f528,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f531,axiom,
! [X76,X64] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f580,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) ),
inference(resolution,[],[f533,f528]) ).
fof(f575,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f530,f572,f568]) ).
fof(f530,axiom,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV911-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 20:05:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (28393)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)
% 0.19/0.53 % (28375)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (28374)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)
% 0.19/0.54 % (28384)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)
% 0.19/0.54 % (28394)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)
% 0.19/0.54 % (28380)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.54 % (28379)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)
% 0.19/0.54 % (28383)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)
% 0.19/0.54 % (28380)Instruction limit reached!
% 0.19/0.54 % (28380)------------------------------
% 0.19/0.54 % (28380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (28380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (28380)Termination reason: Unknown
% 0.19/0.54 % (28380)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (28380)Memory used [KB]: 1791
% 0.19/0.54 % (28380)Time elapsed: 0.005 s
% 0.19/0.54 % (28380)Instructions burned: 7 (million)
% 0.19/0.54 % (28380)------------------------------
% 0.19/0.54 % (28380)------------------------------
% 0.19/0.54 % (28383)Instruction limit reached!
% 0.19/0.54 % (28383)------------------------------
% 0.19/0.54 % (28383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28376)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)
% 0.19/0.55 % (28383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28383)Termination reason: Unknown
% 0.19/0.55 % (28383)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (28383)Memory used [KB]: 1791
% 0.19/0.55 % (28383)Time elapsed: 0.005 s
% 0.19/0.55 % (28383)Instructions burned: 6 (million)
% 0.19/0.55 % (28383)------------------------------
% 0.19/0.55 % (28383)------------------------------
% 0.19/0.55 % (28376)Instruction limit reached!
% 0.19/0.55 % (28376)------------------------------
% 0.19/0.55 % (28376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28376)Termination reason: Unknown
% 0.19/0.55 % (28376)Termination phase: Function definition elimination
% 0.19/0.55
% 0.19/0.55 % (28376)Memory used [KB]: 1791
% 0.19/0.55 % (28376)Time elapsed: 0.005 s
% 0.19/0.55 % (28376)Instructions burned: 3 (million)
% 0.19/0.55 % (28376)------------------------------
% 0.19/0.55 % (28376)------------------------------
% 0.19/0.55 % (28384)Instruction limit reached!
% 0.19/0.55 % (28384)------------------------------
% 0.19/0.55 % (28384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28384)Termination reason: Unknown
% 0.19/0.55 % (28384)Termination phase: Function definition elimination
% 0.19/0.55
% 0.19/0.55 % (28384)Memory used [KB]: 1791
% 0.19/0.55 % (28384)Time elapsed: 0.005 s
% 0.19/0.55 % (28384)Instructions burned: 3 (million)
% 0.19/0.55 % (28384)------------------------------
% 0.19/0.55 % (28384)------------------------------
% 0.19/0.55 % (28391)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)
% 0.19/0.55 % (28369)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.56 % (28388)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.56 % (28372)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.56 % (28397)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.56 % (28382)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)
% 0.19/0.56 % (28371)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.56 % (28370)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.57 % (28370)Instruction limit reached!
% 0.19/0.57 % (28370)------------------------------
% 0.19/0.57 % (28370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (28370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (28370)Termination reason: Unknown
% 0.19/0.57 % (28370)Termination phase: General splitting
% 0.19/0.57
% 0.19/0.57 % (28370)Memory used [KB]: 1791
% 0.19/0.57 % (28370)Time elapsed: 0.006 s
% 0.19/0.57 % (28370)Instructions burned: 5 (million)
% 0.19/0.57 % (28370)------------------------------
% 0.19/0.57 % (28370)------------------------------
% 0.19/0.57 % (28371)First to succeed.
% 0.19/0.57 % (28371)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (28371)------------------------------
% 0.19/0.57 % (28371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (28371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (28371)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (28371)Memory used [KB]: 6396
% 0.19/0.57 % (28371)Time elapsed: 0.141 s
% 0.19/0.57 % (28371)Instructions burned: 7 (million)
% 0.19/0.57 % (28371)------------------------------
% 0.19/0.57 % (28371)------------------------------
% 0.19/0.57 % (28367)Success in time 0.214 s
%------------------------------------------------------------------------------