TSTP Solution File: ANA018-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA018-2 : 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 : n012.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 10:30:55 EDT 2024
% Result : Unsatisfiable 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 35 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(unit_resulting_resolution,[],[f20,f22,f1,f41,f9]) ).
fof(f9,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_0,X4,X1)
| c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f41,plain,
~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(v_xa),t_b),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b),
inference(unit_resulting_resolution,[],[f18,f3,f37,f7]) ).
fof(f7,axiom,
! [X1,X6,X7,X5] :
( ~ c_lessequals(X7,X5,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X5,X6,X1)
| c_lessequals(X7,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f37,plain,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b),
inference(superposition,[],[f4,f33]) ).
fof(f33,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(unit_resulting_resolution,[],[f14,f6]) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f14,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(unit_resulting_resolution,[],[f5,f11]) ).
fof(f11,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_OrderedGroup_Osemigroup__mult(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f5,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,axiom,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f18,plain,
class_Orderings_Oorder(t_b),
inference(unit_resulting_resolution,[],[f16,f10]) ).
fof(f10,axiom,
! [X8] :
( ~ class_LOrder_Ojoin__semilorder(X8)
| class_Orderings_Oorder(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f16,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(unit_resulting_resolution,[],[f5,f12]) ).
fof(f12,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_LOrder_Ojoin__semilorder(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f22,plain,
c_lessequals(c_0,v_ca,t_b),
inference(unit_resulting_resolution,[],[f18,f2,f8]) ).
fof(f8,axiom,
! [X1,X7,X5] :
( ~ c_less(X7,X5,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X7,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f2,axiom,
c_less(c_0,v_ca,t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f20,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(unit_resulting_resolution,[],[f5,f13]) ).
fof(f13,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_Ring__and__Field_Opordered__semiring(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.33 % Computer : n012.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 00:01:26 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % (15192)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35 % (15196)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.35 % (15197)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.35 % (15199)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.35 % (15198)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.35 TRYING [1]
% 0.15/0.35 TRYING [2]
% 0.15/0.35 % (15199)First to succeed.
% 0.15/0.35 % (15199)Refutation found. Thanks to Tanya!
% 0.15/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.35 % (15199)------------------------------
% 0.15/0.35 % (15199)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.35 % (15199)Termination reason: Refutation
% 0.15/0.35
% 0.15/0.35 % (15199)Memory used [KB]: 764
% 0.15/0.35 % (15199)Time elapsed: 0.004 s
% 0.15/0.35 % (15199)Instructions burned: 5 (million)
% 0.15/0.35 % (15199)------------------------------
% 0.15/0.35 % (15199)------------------------------
% 0.15/0.35 % (15192)Success in time 0.018 s
%------------------------------------------------------------------------------