TSTP Solution File: ANA023-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA023-1 : 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 : n003.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 04:31:47 EDT 2024
% Result : Unsatisfiable 24.61s 3.86s
% Output : Refutation 24.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 67 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 83 ( 50 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116982,plain,
$false,
inference(resolution,[],[f116981,f2807]) ).
fof(f2807,axiom,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f116981,plain,
~ c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(resolution,[],[f116930,f2809]) ).
fof(f2809,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f116930,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ c_lessequals(v_k(v_x),v_f(v_x),t_b) ),
inference(resolution,[],[f116812,f2444]) ).
fof(f2444,axiom,
! [X87] :
( class_Orderings_Olinorder(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f116812,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(v_k(v_x),v_f(v_x),t_b) ),
inference(resolution,[],[f116811,f32416]) ).
fof(f32416,plain,
( c_lessequals(v_g(v_x),v_k(v_x),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f32412,f2801]) ).
fof(f2801,axiom,
! [X10,X0,X12] :
( c_less(X10,X12,X0)
| c_lessequals(X12,X10,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f32412,plain,
~ c_less(v_k(v_x),v_g(v_x),t_b),
inference(resolution,[],[f32392,f2809]) ).
fof(f32392,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ c_less(v_k(v_x),v_g(v_x),t_b) ),
inference(resolution,[],[f32326,f2467]) ).
fof(f2467,axiom,
! [X87] :
( class_OrderedGroup_Opordered__ab__group__add(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f32326,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_less(v_k(v_x),v_g(v_x),t_b) ),
inference(resolution,[],[f1097,f10511]) ).
fof(f10511,plain,
~ c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
inference(resolution,[],[f10503,f2806]) ).
fof(f2806,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_1) ).
fof(f10503,plain,
! [X0,X1] :
( ~ c_lessequals(X1,X0,t_b)
| ~ c_less(X0,X1,t_b) ),
inference(resolution,[],[f7933,f2809]) ).
fof(f7933,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_less(X1,X0,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f2802,f2444]) ).
fof(f2802,axiom,
! [X10,X0,X12] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_lessequals(X12,X10,X0)
| ~ c_less(X10,X12,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_1) ).
fof(f1097,axiom,
! [X3,X0,X1] :
( c_less(c_minus(X3,X1,X0),c_0,X0)
| ~ c_less(X3,X1,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__less__0__iff__less_1) ).
fof(f116811,plain,
! [X0] :
( ~ c_lessequals(v_g(v_x),X0,t_b)
| ~ c_lessequals(X0,v_f(v_x),t_b) ),
inference(resolution,[],[f113408,f2809]) ).
fof(f113408,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ c_lessequals(v_g(v_x),X0,t_b)
| ~ c_lessequals(X0,v_f(v_x),t_b) ),
inference(resolution,[],[f65904,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(f65904,plain,
! [X0] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(X0,v_f(v_x),t_b)
| ~ c_lessequals(v_g(v_x),X0,t_b) ),
inference(resolution,[],[f65884,f2803]) ).
fof(f2803,axiom,
! [X10,X0,X35,X12] :
( c_lessequals(X12,X35,X0)
| ~ c_lessequals(X12,X10,X0)
| ~ c_lessequals(X10,X35,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f65884,plain,
~ c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(resolution,[],[f65864,f2809]) ).
fof(f65864,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ c_lessequals(v_g(v_x),v_f(v_x),t_b) ),
inference(resolution,[],[f65839,f2467]) ).
fof(f65839,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(v_g(v_x),v_f(v_x),t_b) ),
inference(forward_demodulation,[],[f65777,f4477]) ).
fof(f4477,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f3626,f2809]) ).
fof(f3626,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_plus(c_0,X0,X1) = X0 ),
inference(resolution,[],[f1090,f2433]) ).
fof(f2433,axiom,
! [X87] :
( class_OrderedGroup_Ocomm__monoid__add(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f1090,axiom,
! [X10,X0] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X10,X0) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f65777,plain,
( ~ c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_f(v_x),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[],[f2797,f2808]) ).
fof(f2808,axiom,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2797,axiom,
! [X3,X0,X1,X25] :
( c_lessequals(X3,c_minus(X25,X1,X0),X0)
| ~ c_lessequals(c_plus(X3,X1,X0),X25,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : ANA023-1 : TPTP v8.1.2. Released v3.2.0.
% 0.01/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27 % Computer : n003.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Fri May 3 15:30:52 EDT 2024
% 0.11/0.27 % CPUTime :
% 0.11/0.27 % (11910)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.32 % (11952)WARNING: value z3 for option sas not known
% 0.11/0.32 % (11949)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.32 % (11956)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)
% 0.11/0.32 % (11952)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)
% 0.11/0.32 % (11955)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)
% 0.11/0.32 % (11950)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.32 % (11954)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.32 % (11957)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)
% 0.11/0.53 TRYING [1]
% 3.30/0.80 TRYING [2]
% 5.49/1.12 TRYING [1]
% 7.58/1.43 TRYING [2]
% 8.55/1.56 TRYING [1]
% 10.58/1.82 TRYING [2]
% 24.61/3.85 % (11956)First to succeed.
% 24.61/3.85 % (11956)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11910"
% 24.61/3.86 % (11956)Refutation found. Thanks to Tanya!
% 24.61/3.86 % SZS status Unsatisfiable for theBenchmark
% 24.61/3.86 % SZS output start Proof for theBenchmark
% See solution above
% 24.61/3.86 % (11956)------------------------------
% 24.61/3.86 % (11956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 24.61/3.86 % (11956)Termination reason: Refutation
% 24.61/3.86
% 24.61/3.86 % (11956)Memory used [KB]: 49608
% 24.61/3.86 % (11956)Time elapsed: 3.527 s
% 24.61/3.86 % (11956)Instructions burned: 9247 (million)
% 24.61/3.86 % (11910)Success in time 3.545 s
%------------------------------------------------------------------------------