TSTP Solution File: ANA025-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA025-2 : 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 : n023.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 : Sun May 5 04:31:57 EDT 2024
% Result : Unsatisfiable 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 34 ~; 34 |; 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 : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f41,f57]) ).
fof(f57,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f55,f21]) ).
fof(f21,plain,
c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
inference(resolution,[],[f19,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(f19,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(subsumption_resolution,[],[f18,f13]) ).
fof(f13,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f10,f12]) ).
fof(f12,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
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(f18,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| ~ class_Orderings_Olinorder(t_b)
| c_lessequals(X1,X0,t_b) ),
inference(resolution,[],[f17,f2]) ).
fof(f2,axiom,
! [X2,X3,X0] :
( c_less(X2,X3,X0)
| ~ class_Orderings_Olinorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f17,plain,
! [X0,X1] :
( ~ c_less(X0,X1,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f5,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(f14,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f11,f12]) ).
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(f5,axiom,
! [X2,X3,X0] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X3,X2,X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f55,plain,
( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b)
| spl0_2 ),
inference(resolution,[],[f51,f35]) ).
fof(f35,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_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> 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_2])]) ).
fof(f51,plain,
! [X0,X1] :
( c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b)
| ~ c_lessequals(X0,c_0,t_b) ),
inference(subsumption_resolution,[],[f48,f14]) ).
fof(f48,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_0,t_b)
| c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(resolution,[],[f20,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(f20,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,t_b)
| ~ c_lessequals(X0,X1,t_b)
| c_lessequals(X0,X2,t_b) ),
inference(resolution,[],[f4,f16]) ).
fof(f4,axiom,
! [X2,X3,X0,X5] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X3,X2,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(f41,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f40,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f37,f14]) ).
fof(f37,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_1 ),
inference(resolution,[],[f31,f1]) ).
fof(f31,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(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_1
<=> 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_1])]) ).
fof(f36,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f27,f33,f29]) ).
fof(f27,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) ),
inference(subsumption_resolution,[],[f24,f13]) ).
fof(f24,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(X3,X5,X4)
| ~ c_lessequals(X2,X5,X4)
| ~ class_Orderings_Olinorder(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
% 0.07/0.13 % Problem : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 15:33:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (23362)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (23366)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 Detected minimum model sizes of [1,1,1]
% 0.16/0.38 Detected maximum model sizes of [max,1,1]
% 0.16/0.38 TRYING [1,1,1]
% 0.16/0.38 TRYING [2,1,1]
% 0.16/0.38 TRYING [3,1,1]
% 0.16/0.38 % (23363)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 TRYING [4,1,1]
% 0.16/0.38 % (23364)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (23365)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)
% 0.16/0.38 % (23367)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (23368)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (23369)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)
% 0.16/0.38 Detected minimum model sizes of [1,1,1]
% 0.16/0.38 Detected maximum model sizes of [max,1,1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [5,1,1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [1,1,1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 % (23368)First to succeed.
% 0.16/0.38 TRYING [2,1,1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 % (23365)Also succeeded, but the first one will report.
% 0.16/0.38 TRYING [3,1,1]
% 0.16/0.38 % (23368)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23362"
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [4]
% 0.16/0.38 % (23368)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38 % (23368)------------------------------
% 0.16/0.38 % (23368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (23368)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (23368)Memory used [KB]: 766
% 0.16/0.38 % (23368)Time elapsed: 0.004 s
% 0.16/0.38 % (23368)Instructions burned: 4 (million)
% 0.16/0.38 % (23362)Success in time 0.02 s
%------------------------------------------------------------------------------