TSTP Solution File: ANA020-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA020-2 : 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 : n006.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 04:31:46 EDT 2024
% Result : Unsatisfiable 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f26,f23,f29,f9]) ).
fof(f9,axiom,
! [X0,X1,X4] :
( ~ c_lessequals(c_0,X1,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ c_lessequals(c_0,X4,X0)
| c_lessequals(c_0,c_times(X1,X4,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f29,plain,
~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(superposition,[],[f14,f21]) ).
fof(f21,plain,
c_0 = c_HOL_Oabs(c_0,t_a),
inference(unit_resulting_resolution,[],[f19,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_0 = c_HOL_Oabs(c_0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1) ).
fof(f19,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(unit_resulting_resolution,[],[f5,f12]) ).
fof(f12,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f5,axiom,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f14,plain,
~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f1,axiom,
c_0 = v_f(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f13,plain,
~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(forward_demodulation,[],[f4,f3]) ).
fof(f3,axiom,
c_0 = v_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,axiom,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f23,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(unit_resulting_resolution,[],[f19,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f26,plain,
c_lessequals(c_0,v_c,t_a),
inference(unit_resulting_resolution,[],[f17,f2,f8]) ).
fof(f8,axiom,
! [X2,X3,X0] :
( ~ c_less(X2,X3,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f2,axiom,
c_less(c_0,v_c,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f17,plain,
class_Orderings_Oorder(t_a),
inference(unit_resulting_resolution,[],[f5,f11]) ).
fof(f11,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Orderings_Oorder(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f15,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(unit_resulting_resolution,[],[f5,f10]) ).
fof(f10,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__cancel__semiring(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ANA020-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 15:31:52 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % (8680)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (8683)WARNING: value z3 for option sas not known
% 0.15/0.33 % (8681)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (8687)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)
% 0.15/0.33 % (8686)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)
% 0.15/0.33 % (8684)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (8685)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)
% 0.15/0.33 % (8683)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (8682)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 % (8686)Also succeeded, but the first one will report.
% 0.15/0.33 % (8687)First to succeed.
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 % (8687)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8680"
% 0.15/0.33 % (8685)Also succeeded, but the first one will report.
% 0.15/0.33 % (8687)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (8687)------------------------------
% 0.15/0.33 % (8687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33 % (8687)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (8687)Memory used [KB]: 744
% 0.15/0.33 % (8687)Time elapsed: 0.003 s
% 0.15/0.33 % (8687)Instructions burned: 3 (million)
% 0.15/0.33 % (8680)Success in time 0.015 s
%------------------------------------------------------------------------------