TSTP Solution File: ANA028-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA028-2 : 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 : n021.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 10:31:17 EDT 2024
% Result : Unsatisfiable 0.17s 0.39s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 47 unt; 0 def)
% Number of atoms : 90 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 145 ( 145 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1853,plain,
$false,
inference(subsumption_resolution,[],[f1801,f754]) ).
fof(f754,plain,
! [X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_minus(X0,v_g(X1),t_b),t_b),t_b),
inference(forward_demodulation,[],[f753,f509]) ).
fof(f509,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_plus(X0,c_minus(c_0,X1,t_b),t_b),
inference(superposition,[],[f466,f411]) ).
fof(f411,plain,
! [X2,X0,X1] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_plus(X0,c_minus(X2,X1,t_b),t_b),
inference(forward_demodulation,[],[f409,f154]) ).
fof(f154,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
inference(unit_resulting_resolution,[],[f16,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X2,c_minus(X3,X4,X0),X0) = c_minus(c_plus(X2,X3,X0),X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
fof(f16,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(unit_resulting_resolution,[],[f13,f11]) ).
fof(f11,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Oab__group__add(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f13,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f409,plain,
! [X2,X0,X1] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
inference(unit_resulting_resolution,[],[f16,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X2,X3,X0),X4,X0) = c_minus(c_plus(X2,X4,X0),X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
fof(f466,plain,
! [X0] : c_plus(X0,c_0,t_b) = X0,
inference(superposition,[],[f443,f22]) ).
fof(f22,plain,
! [X0] : c_0 = c_minus(X0,X0,t_b),
inference(unit_resulting_resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X2,X0] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_0 = c_minus(X2,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f443,plain,
! [X0,X1] : c_plus(X0,c_minus(X1,X0,t_b),t_b) = X1,
inference(forward_demodulation,[],[f413,f20]) ).
fof(f20,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(unit_resulting_resolution,[],[f14,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f14,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(unit_resulting_resolution,[],[f13,f10]) ).
fof(f10,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f413,plain,
! [X0,X1] : c_plus(c_0,X1,t_b) = c_plus(X0,c_minus(X1,X0,t_b),t_b),
inference(superposition,[],[f411,f22]) ).
fof(f753,plain,
! [X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_plus(X0,c_minus(c_0,v_g(X1),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f752,f22]) ).
fof(f752,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_plus(X0,c_minus(c_minus(X2,X2,t_b),v_g(X1),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f751,f20]) ).
fof(f751,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_plus(X0,c_plus(c_0,c_minus(c_minus(X2,X2,t_b),v_g(X1),t_b),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f750,f154]) ).
fof(f750,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_plus(X0,c_minus(c_plus(c_0,c_minus(X2,X2,t_b),t_b),v_g(X1),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f749,f154]) ).
fof(f749,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_plus(X0,c_minus(c_minus(c_plus(c_0,X2,t_b),X2,t_b),v_g(X1),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f748,f154]) ).
fof(f748,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_minus(c_plus(X0,c_minus(c_plus(c_0,X2,t_b),X2,t_b),t_b),v_g(X1),t_b),t_b),t_b),
inference(forward_demodulation,[],[f747,f531]) ).
fof(f531,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(forward_demodulation,[],[f529,f154]) ).
fof(f529,plain,
! [X2,X0,X1] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(unit_resulting_resolution,[],[f16,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_plus(X2,X4,X0),X3,X0) = c_minus(X2,c_minus(X3,X4,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__5_0) ).
fof(f747,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(v_k(X1),c_minus(c_minus(X0,c_minus(X2,c_plus(c_0,X2,t_b),t_b),t_b),v_g(X1),t_b),t_b),t_b),
inference(forward_demodulation,[],[f746,f411]) ).
fof(f746,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(c_minus(v_k(X1),v_g(X1),t_b),c_minus(X0,c_minus(X2,c_plus(c_0,X2,t_b),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f729,f411]) ).
fof(f729,plain,
! [X2,X0,X1] : c_lessequals(X0,c_plus(c_minus(c_minus(v_k(X1),v_g(X1),t_b),c_minus(X2,c_plus(c_0,X2,t_b),t_b),t_b),X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f191,f705]) ).
fof(f705,plain,
! [X2,X0] :
( ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(X0,c_plus(X2,X0,t_b),t_b) ),
inference(forward_demodulation,[],[f704,f443]) ).
fof(f704,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_plus(X2,c_plus(X1,c_minus(X0,X1,t_b),t_b),t_b),t_b)
| ~ c_lessequals(c_0,X2,t_b) ),
inference(forward_demodulation,[],[f703,f531]) ).
fof(f703,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_plus(X2,c_minus(X1,c_minus(X1,X0,t_b),t_b),t_b),t_b)
| ~ c_lessequals(c_0,X2,t_b) ),
inference(forward_demodulation,[],[f702,f531]) ).
fof(f702,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(X0,c_minus(X2,c_minus(c_minus(X1,X0,t_b),X1,t_b),t_b),t_b) ),
inference(subsumption_resolution,[],[f669,f18]) ).
fof(f18,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(unit_resulting_resolution,[],[f13,f12]) ).
fof(f12,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Opordered__ab__group__add(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(X0,c_minus(X2,c_minus(c_minus(X1,X0,t_b),X1,t_b),t_b),t_b) ),
inference(superposition,[],[f6,f480]) ).
fof(f480,plain,
! [X0,X1] : c_0 = c_plus(X0,c_minus(c_minus(X1,X0,t_b),X1,t_b),t_b),
inference(superposition,[],[f157,f443]) ).
fof(f157,plain,
! [X0,X1] : c_0 = c_plus(X0,c_minus(X1,c_plus(X0,X1,t_b),t_b),t_b),
inference(superposition,[],[f154,f22]) ).
fof(f6,axiom,
! [X2,X3,X0,X4] :
( ~ c_lessequals(c_plus(X2,X3,X0),X4,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(X2,c_minus(X4,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
fof(f191,plain,
! [X2,X0,X1] : c_lessequals(X0,c_minus(c_minus(v_k(X1),v_g(X1),t_b),c_minus(X2,c_plus(X0,X2,t_b),t_b),t_b),t_b),
inference(unit_resulting_resolution,[],[f38,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,X2,t_b)
| c_lessequals(X0,c_minus(X2,c_minus(X1,c_plus(X0,X1,t_b),t_b),t_b),t_b) ),
inference(subsumption_resolution,[],[f165,f18]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(X0,c_minus(X2,c_minus(X1,c_plus(X0,X1,t_b),t_b),t_b),t_b) ),
inference(superposition,[],[f6,f157]) ).
fof(f38,plain,
! [X0] : c_lessequals(c_0,c_minus(v_k(X0),v_g(X0),t_b),t_b),
inference(unit_resulting_resolution,[],[f8,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ),
inference(subsumption_resolution,[],[f36,f18]) ).
fof(f36,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ),
inference(superposition,[],[f6,f20]) ).
fof(f8,axiom,
! [X5] : c_lessequals(v_g(X5),v_k(X5),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1801,plain,
~ c_lessequals(v_f(v_x),c_plus(v_k(v_x),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(superposition,[],[f24,f1714]) ).
fof(f1714,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_plus(X1,X0,t_b),
inference(superposition,[],[f1633,f1594]) ).
fof(f1594,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1,
inference(superposition,[],[f1162,f509]) ).
fof(f1162,plain,
! [X0,X1] : c_plus(c_plus(X1,X0,t_b),c_minus(c_0,X1,t_b),t_b) = X0,
inference(superposition,[],[f443,f472]) ).
fof(f472,plain,
! [X0,X1] : c_minus(X1,c_plus(X0,X1,t_b),t_b) = c_minus(c_0,X0,t_b),
inference(superposition,[],[f443,f164]) ).
fof(f164,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(c_minus(X1,c_plus(X0,X1,t_b),t_b),X2,t_b),t_b) = c_minus(c_0,X2,t_b),
inference(superposition,[],[f154,f157]) ).
fof(f1633,plain,
! [X2,X1] : c_plus(c_minus(X2,X1,t_b),X1,t_b) = X2,
inference(forward_demodulation,[],[f1632,f1184]) ).
fof(f1184,plain,
! [X2,X0,X1] : c_minus(X2,X1,t_b) = c_plus(X0,c_minus(X2,c_plus(X1,X0,t_b),t_b),t_b),
inference(forward_demodulation,[],[f1183,f20]) ).
fof(f1183,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(X2,c_plus(X1,X0,t_b),t_b),t_b) = c_plus(c_0,c_minus(X2,X1,t_b),t_b),
inference(forward_demodulation,[],[f1163,f411]) ).
fof(f1163,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(X2,c_plus(X1,X0,t_b),t_b),t_b) = c_plus(c_minus(c_0,X1,t_b),X2,t_b),
inference(superposition,[],[f411,f472]) ).
fof(f1632,plain,
! [X2,X0,X1] : c_plus(c_plus(X0,c_minus(X2,c_plus(X1,X0,t_b),t_b),t_b),X1,t_b) = X2,
inference(forward_demodulation,[],[f1631,f411]) ).
fof(f1631,plain,
! [X2,X0,X1] : c_plus(c_plus(c_minus(X0,c_plus(X1,X0,t_b),t_b),X2,t_b),X1,t_b) = X2,
inference(forward_demodulation,[],[f1587,f466]) ).
fof(f1587,plain,
! [X2,X0,X1] : c_plus(c_plus(c_minus(X0,c_plus(X1,X0,t_b),t_b),X2,t_b),c_plus(X1,c_0,t_b),t_b) = X2,
inference(superposition,[],[f1162,f286]) ).
fof(f286,plain,
! [X0,X1] : c_minus(c_0,c_minus(X0,c_plus(X1,X0,t_b),t_b),t_b) = c_plus(X1,c_0,t_b),
inference(superposition,[],[f164,f22]) ).
fof(f24,plain,
~ c_lessequals(v_f(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_k(v_x),t_b),t_b),
inference(unit_resulting_resolution,[],[f18,f9,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X4] :
( ~ c_lessequals(X2,c_plus(X4,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_minus(X2,X3,X0),X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f9,axiom,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : ANA028-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:13:55 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (16111)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (16114)WARNING: value z3 for option sas not known
% 0.12/0.35 % (16116)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)
% 0.12/0.35 % (16114)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)
% 0.12/0.35 % (16113)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (16117)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)
% 0.12/0.36 % (16112)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (16115)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (16118)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.37 TRYING [4]
% 0.17/0.38 TRYING [3]
% 0.17/0.39 % (16118)First to succeed.
% 0.17/0.39 % (16114)Also succeeded, but the first one will report.
% 0.17/0.39 % (16118)Refutation found. Thanks to Tanya!
% 0.17/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.39 % (16118)------------------------------
% 0.17/0.39 % (16118)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.39 % (16118)Termination reason: Refutation
% 0.17/0.39
% 0.17/0.39 % (16118)Memory used [KB]: 1246
% 0.17/0.39 % (16118)Time elapsed: 0.032 s
% 0.17/0.39 % (16118)Instructions burned: 68 (million)
% 0.17/0.39 % (16118)------------------------------
% 0.17/0.39 % (16118)------------------------------
% 0.17/0.39 % (16111)Success in time 0.047 s
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