TSTP Solution File: ANA010-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA010-2 : 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 : 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 15:44:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 37 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(subsumption_resolution,[],[f42,f5]) ).
fof(f5,axiom,
! [X6] : c_lessequals(v_f(X6),c_times(v_c,v_g(X6),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f42,plain,
~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
inference(superposition,[],[f17,f40]) ).
fof(f40,plain,
! [X0] : c_times(v_c,v_g(X0),t_b) = c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b),
inference(resolution,[],[f31,f5]) ).
fof(f31,plain,
! [X0,X1] :
( ~ c_lessequals(v_f(X1),X0,t_b)
| c_HOL_Oabs(X0,t_b) = X0 ),
inference(resolution,[],[f30,f4]) ).
fof(f4,axiom,
! [X6] : c_lessequals(c_0,v_f(X6),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f30,plain,
! [X4,X5] :
( ~ c_lessequals(c_0,X4,t_b)
| c_HOL_Oabs(X5,t_b) = X5
| ~ c_lessequals(X4,X5,t_b) ),
inference(resolution,[],[f27,f11]) ).
fof(f11,plain,
! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_HOL_Oabs(X0,t_b) = X0 ),
inference(resolution,[],[f1,f10]) ).
fof(f10,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f8,f9]) ).
fof(f9,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f8,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f1,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = X1
| ~ c_lessequals(c_0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f27,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X0,X2,t_b)
| ~ c_lessequals(X2,X1,t_b) ),
inference(resolution,[],[f12,f10]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_lessequals(X3,X1,X2)
| ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X0,X2) ),
inference(resolution,[],[f2,f7]) ).
fof(f7,axiom,
! [X7] :
( class_Orderings_Oorder(X7)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X1,X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f17,plain,
! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
inference(superposition,[],[f6,f14]) ).
fof(f14,plain,
! [X0,X1] : c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b),
inference(resolution,[],[f3,f9]) ).
fof(f3,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X4,X5,X0),X0) = c_times(c_HOL_Oabs(X4,X0),c_HOL_Oabs(X5,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f6,axiom,
! [X6] : ~ c_lessequals(v_f(v_x(X6)),c_times(X6,c_HOL_Oabs(v_g(v_x(X6)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA010-2 : 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
% 0.13/0.34 % Computer : n028.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 15:23:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (17323)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)
% 0.20/0.50 % (17306)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)
% 0.20/0.50 % (17317)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)
% 0.20/0.50 % (17309)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)
% 0.20/0.51 % (17315)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)
% 0.20/0.51 % (17306)First to succeed.
% 0.20/0.51 % (17301)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)
% 0.20/0.51 % (17307)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 % (17306)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 % (17306)------------------------------
% 0.20/0.51 % (17306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17306)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (17306)Memory used [KB]: 5884
% 0.20/0.51 % (17306)Time elapsed: 0.106 s
% 0.20/0.51 % (17306)Instructions burned: 3 (million)
% 0.20/0.51 % (17306)------------------------------
% 0.20/0.51 % (17306)------------------------------
% 0.20/0.51 % (17294)Success in time 0.159 s
%------------------------------------------------------------------------------