TSTP Solution File: ANA025-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n019.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 15:44:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 33 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f45,f49]) ).
fof(f49,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f48,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f46,f14]) ).
fof(f14,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f11,f12]) ).
fof(f12,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f11,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Olordered__ab__group__abs(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f46,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_2 ),
inference(resolution,[],[f33,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f33,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_2
<=> c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f45,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f42,f27,f31]) ).
fof(f27,plain,
( spl0_1
<=> c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f42,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_1 ),
inference(resolution,[],[f29,f39]) ).
fof(f39,plain,
! [X0] :
( c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),X0,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(subsumption_resolution,[],[f38,f16]) ).
fof(f16,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f15,f8]) ).
fof(f8,axiom,
! [X6] :
( ~ class_LOrder_Ojoin__semilorder(X6)
| class_Orderings_Oorder(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f15,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[],[f14,f9]) ).
fof(f9,axiom,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| class_LOrder_Ojoin__semilorder(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f38,plain,
! [X0] :
( c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f36,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X5] :
( ~ c_lessequals(X3,X2,X0)
| ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X2,X5,X0)
| c_lessequals(X3,X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f36,plain,
c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
inference(subsumption_resolution,[],[f35,f16]) ).
fof(f35,plain,
( c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f18,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( ~ c_less(X3,X2,X0)
| c_lessequals(X3,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f18,plain,
c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
inference(subsumption_resolution,[],[f17,f13]) ).
fof(f13,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f10,f12]) ).
fof(f10,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f17,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b) ),
inference(resolution,[],[f2,f6]) ).
fof(f6,axiom,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2,axiom,
! [X2,X3,X0] :
( c_lessequals(X3,X2,X0)
| ~ class_Orderings_Olinorder(X0)
| c_less(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f29,plain,
( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f34,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f25,f31,f27]) ).
fof(f25,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(subsumption_resolution,[],[f22,f13]) ).
fof(f22,plain,
( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X2,X3,X4,X5] :
( c_lessequals(c_Orderings_Omax(X3,X2,X4),X5,X4)
| ~ c_lessequals(X2,X5,X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X3,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f7,axiom,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:16:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (10858)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)
% 0.20/0.47 % (10850)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.48 % (10842)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)
% 0.20/0.48 % (10858)Refutation not found, incomplete strategy% (10858)------------------------------
% 0.20/0.48 % (10858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (10850)Instruction limit reached!
% 0.20/0.49 % (10850)------------------------------
% 0.20/0.49 % (10850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (10858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (10858)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (10858)Memory used [KB]: 5884
% 0.20/0.49 % (10858)Time elapsed: 0.106 s
% 0.20/0.49 % (10858)Instructions burned: 2 (million)
% 0.20/0.49 % (10858)------------------------------
% 0.20/0.49 % (10858)------------------------------
% 0.20/0.49 % (10842)Refutation not found, incomplete strategy% (10842)------------------------------
% 0.20/0.49 % (10842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (10842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (10842)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (10842)Memory used [KB]: 5884
% 0.20/0.49 % (10842)Time elapsed: 0.104 s
% 0.20/0.49 % (10842)Instructions burned: 1 (million)
% 0.20/0.49 % (10842)------------------------------
% 0.20/0.49 % (10842)------------------------------
% 0.20/0.49 % (10850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (10850)Termination reason: Unknown
% 0.20/0.49 % (10850)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (10850)Memory used [KB]: 5884
% 0.20/0.49 % (10850)Time elapsed: 0.109 s
% 0.20/0.49 % (10850)Instructions burned: 9 (million)
% 0.20/0.49 % (10850)------------------------------
% 0.20/0.49 % (10850)------------------------------
% 0.20/0.50 % (10845)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)
% 0.20/0.51 % (10844)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)
% 0.20/0.51 % (10845)First to succeed.
% 0.20/0.51 % (10841)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)
% 0.20/0.51 % (10840)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)
% 0.20/0.51 % (10845)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (10845)------------------------------
% 0.20/0.51 % (10845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (10845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (10845)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (10845)Memory used [KB]: 5884
% 0.20/0.51 % (10845)Time elapsed: 0.103 s
% 0.20/0.51 % (10845)Instructions burned: 2 (million)
% 0.20/0.51 % (10845)------------------------------
% 0.20/0.51 % (10845)------------------------------
% 0.20/0.51 % (10832)Success in time 0.159 s
%------------------------------------------------------------------------------