TSTP Solution File: ANA020-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA020-1 : 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 : n027.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 04:31:45 EDT 2024
% Result : Unsatisfiable 16.18s 2.74s
% Output : Refutation 16.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 47 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 33 ~; 20 |; 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(f95891,plain,
$false,
inference(resolution,[],[f95890,f2787]) ).
fof(f2787,axiom,
c_less(c_0,v_c,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f95890,plain,
~ c_less(c_0,v_c,t_a),
inference(resolution,[],[f95716,f2791]) ).
fof(f2791,axiom,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f95716,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ c_less(c_0,v_c,t_a) ),
inference(resolution,[],[f95696,f2456]) ).
fof(f2456,axiom,
! [X87] :
( class_Orderings_Oorder(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f95696,plain,
( ~ class_Orderings_Oorder(t_a)
| ~ c_less(c_0,v_c,t_a) ),
inference(resolution,[],[f95633,f2782]) ).
fof(f2782,axiom,
! [X10,X0,X12] :
( c_lessequals(X12,X10,X0)
| ~ c_less(X12,X10,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f95633,plain,
~ c_lessequals(c_0,v_c,t_a),
inference(resolution,[],[f95630,f2791]) ).
fof(f95630,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ c_lessequals(c_0,v_c,t_a) ),
inference(resolution,[],[f95601,f2463]) ).
fof(f2463,axiom,
! [X87] :
( class_OrderedGroup_Olordered__ab__group__abs(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f95601,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| ~ c_lessequals(c_0,v_c,t_a) ),
inference(resolution,[],[f95600,f1071]) ).
fof(f1071,axiom,
! [X3,X0] :
( c_lessequals(c_0,c_HOL_Oabs(X3,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f95600,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_c,t_a) ),
inference(resolution,[],[f95476,f2791]) ).
fof(f95476,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ c_lessequals(c_0,v_c,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a) ),
inference(resolution,[],[f75228,f2452]) ).
fof(f2452,axiom,
! [X87] :
( class_Ring__and__Field_Opordered__cancel__semiring(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f75228,plain,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_c,t_a) ),
inference(resolution,[],[f2783,f3324]) ).
fof(f3324,plain,
~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(backward_demodulation,[],[f2794,f3322]) ).
fof(f3322,plain,
c_0 = c_HOL_Oabs(c_0,t_a),
inference(resolution,[],[f3237,f2791]) ).
fof(f3237,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_0 = c_HOL_Oabs(c_0,X0) ),
inference(resolution,[],[f1070,f2463]) ).
fof(f1070,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(f2794,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,[],[f2793,f2786]) ).
fof(f2786,axiom,
c_0 = v_f(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2793,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,[],[f2790,f2789]) ).
fof(f2789,axiom,
c_0 = v_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2790,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(f2783,axiom,
! [X3,X0,X1] :
( c_lessequals(c_0,c_times(X3,X1,X0),X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA020-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 15:29:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (24858)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (24862)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.46 % (24861)WARNING: value z3 for option sas not known
% 0.21/0.46 % (24859)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.46 % (24861)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)
% 0.21/0.46 % (24860)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.46 % (24863)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)
% 0.21/0.46 % (24864)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)
% 0.21/0.46 % (24865)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)
% 1.56/0.65 TRYING [1]
% 3.08/0.92 TRYING [2]
% 4.63/1.08 TRYING [1]
% 5.34/1.22 TRYING [1]
% 6.34/1.32 TRYING [2]
% 7.42/1.53 TRYING [2]
% 16.18/2.74 % (24864)First to succeed.
% 16.18/2.74 % (24864)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24858"
% 16.18/2.74 % (24864)Refutation found. Thanks to Tanya!
% 16.18/2.74 % SZS status Unsatisfiable for theBenchmark
% 16.18/2.74 % SZS output start Proof for theBenchmark
% See solution above
% 16.18/2.74 % (24864)------------------------------
% 16.18/2.74 % (24864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 16.18/2.74 % (24864)Termination reason: Refutation
% 16.18/2.74
% 16.18/2.74 % (24864)Memory used [KB]: 33140
% 16.18/2.74 % (24864)Time elapsed: 2.275 s
% 16.18/2.74 % (24864)Instructions burned: 6617 (million)
% 16.18/2.74 % (24858)Success in time 2.365 s
%------------------------------------------------------------------------------