TSTP Solution File: ANA039-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA039-2 : 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 : n029.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 10:31:27 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 45 ( 8 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 52 ~; 46 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f22,f55,f58,f63,f79,f82]) ).
fof(f82,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f67,f71]) ).
fof(f71,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_7
<=> class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f67,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| ~ spl0_6 ),
inference(resolution,[],[f65,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( c_lessequals(X2,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).
fof(f65,plain,
( ~ c_lessequals(v_c,c_HOL_Oabs(v_c,t_a),t_a)
| ~ spl0_6 ),
inference(resolution,[],[f54,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f54,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
| ~ c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_6
<=> ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
| ~ c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f79,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f77,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f77,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_7 ),
inference(resolution,[],[f72,f10]) ).
fof(f10,axiom,
! [X8] :
( class_OrderedGroup_Olordered__ab__group__abs(X8)
| ~ class_Ring__and__Field_Oordered__idom(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f72,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f63,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f61,f3]) ).
fof(f61,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_5 ),
inference(resolution,[],[f59,f10]) ).
fof(f59,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl0_5 ),
inference(resolution,[],[f51,f5]) ).
fof(f5,axiom,
! [X2,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f51,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a)
| spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_5
<=> c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a) ),
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,f3]) ).
fof(f56,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_4 ),
inference(resolution,[],[f47,f8]) ).
fof(f8,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_a)
| spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_4
<=> class_Ring__and__Field_Opordered__semiring(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f55,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f23,f17,f53,f49,f45]) ).
fof(f17,plain,
( spl0_2
<=> ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),X0,t_a)
| ~ c_lessequals(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f23,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
| ~ c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f18,f7]) ).
fof(f7,axiom,
! [X2,X1,X6,X7] :
( c_lessequals(c_times(X2,X7,X1),c_times(X6,X7,X1),X1)
| ~ c_lessequals(X2,X6,X1)
| ~ c_lessequals(c_0,X7,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
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_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),X0,t_a) )
| ~ 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,f3]) ).
fof(f20,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_1 ),
inference(resolution,[],[f15,f9]) ).
fof(f9,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_a)
| spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_1
<=> class_Orderings_Oorder(t_a) ),
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_h(v_x),t_a),X0,t_a)
| ~ c_lessequals(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
| ~ class_Orderings_Oorder(t_a) ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f6,axiom,
! [X3,X1,X4,X5] :
( c_lessequals(X5,X4,X1)
| ~ c_lessequals(X5,X3,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n029.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 : Tue Apr 30 00:33:34 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (11840)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (11841)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (11843)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)
% 0.12/0.35 % (11844)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (11842)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (11845)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 % (11847)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)
% 0.12/0.35 % (11846)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36 % (11843)First to succeed.
% 0.12/0.36 TRYING [2]
% 0.12/0.36 Detected minimum model sizes of [1,1,1]
% 0.12/0.36 Detected maximum model sizes of [max,1,1]
% 0.12/0.36 Detected minimum model sizes of [1,1,1]
% 0.12/0.36 Detected maximum model sizes of [max,1,1]
% 0.12/0.36 TRYING [1,1,1]
% 0.12/0.36 TRYING [1,1,1]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2,1,1]
% 0.12/0.36 TRYING [2,1,1]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (11843)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (11843)------------------------------
% 0.12/0.36 % (11843)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36 % (11843)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (11843)Memory used [KB]: 776
% 0.12/0.36 % (11843)Time elapsed: 0.005 s
% 0.12/0.36 % (11843)Instructions burned: 4 (million)
% 0.12/0.36 % (11843)------------------------------
% 0.12/0.36 % (11843)------------------------------
% 0.12/0.36 % (11840)Success in time 0.017 s
%------------------------------------------------------------------------------