TSTP Solution File: ANA038-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue Apr 30 10:31:20 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 9 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 89 ( 46 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f22,f55,f58,f61,f77]) ).
fof(f77,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f66,f4]) ).
fof(f4,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f66,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ spl0_6 ),
inference(resolution,[],[f64,f8]) ).
fof(f8,axiom,
! [X8] :
( class_Orderings_Olinorder(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f64,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ spl0_6 ),
inference(resolution,[],[f62,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f62,plain,
( ~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
| ~ spl0_6 ),
inference(resolution,[],[f54,f2]) ).
fof(f2,axiom,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f54,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_6
<=> ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f61,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f51,f1]) ).
fof(f1,axiom,
c_lessequals(c_0,v_g(v_xa),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f51,plain,
( ~ c_lessequals(c_0,v_g(v_xa),t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_5
<=> c_lessequals(c_0,v_g(v_xa),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f58,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f56,f4]) ).
fof(f56,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_4 ),
inference(resolution,[],[f47,f9]) ).
fof(f9,axiom,
! [X8] :
( class_Ring__and__Field_Opordered__semiring(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f47,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_4
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f55,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f24,f17,f53,f49,f45]) ).
fof(f17,plain,
( spl0_2
<=> ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b)
| ~ c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f24,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
| ~ c_lessequals(c_0,v_g(v_xa),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) )
| ~ spl0_2 ),
inference(resolution,[],[f18,f7]) ).
fof(f7,axiom,
! [X3,X6,X7,X5] :
( c_lessequals(c_times(X5,X7,X3),c_times(X6,X7,X3),X3)
| ~ c_lessequals(X5,X6,X3)
| ~ c_lessequals(c_0,X7,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
fof(f18,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f22,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f21]) ).
fof(f21,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f20,f4]) ).
fof(f20,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f15,f10]) ).
fof(f10,axiom,
! [X8] :
( class_Orderings_Oorder(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f15,plain,
( ~ class_Orderings_Oorder(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_1
<=> class_Orderings_Oorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f19,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f17,f13]) ).
fof(f11,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b)
| ~ c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Oorder(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 00:18:33 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (15823)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (15825)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,1,1,1]
% 0.14/0.37 TRYING [1,1,1,1]
% 0.14/0.37 TRYING [2,1,1,1]
% 0.14/0.37 TRYING [3,1,1,1]
% 0.14/0.38 TRYING [4,1,1,1]
% 0.14/0.38 % (15824)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (15827)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (15828)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (15830)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (15826)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (15829)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 Detected maximum model sizes of [max,1,1,1]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [5,1,1,1]
% 0.14/0.38 TRYING [2,1,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (15826)First to succeed.
% 0.14/0.38 TRYING [3,1,1,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (15829)Also succeeded, but the first one will report.
% 0.14/0.38 % (15828)Also succeeded, but the first one will report.
% 0.14/0.38 % (15826)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (15826)------------------------------
% 0.14/0.38 % (15826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (15826)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (15826)Memory used [KB]: 774
% 0.14/0.38 % (15826)Time elapsed: 0.005 s
% 0.14/0.38 % (15826)Instructions burned: 4 (million)
% 0.14/0.38 % (15826)------------------------------
% 0.14/0.38 % (15826)------------------------------
% 0.14/0.38 % (15823)Success in time 0.021 s
%------------------------------------------------------------------------------