TSTP Solution File: ANA023-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 10:30:57 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(subsumption_resolution,[],[f275,f9]) ).
fof(f9,axiom,
true != c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f275,plain,
true = c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(superposition,[],[f264,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f264,plain,
true = ifeq(true,true,c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),true),
inference(forward_demodulation,[],[f256,f2]) ).
fof(f256,plain,
true = ifeq(true,true,ifeq(true,true,c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),true),true),
inference(superposition,[],[f75,f245]) ).
fof(f245,plain,
true = c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(superposition,[],[f244,f2]) ).
fof(f244,plain,
true = ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true),
inference(forward_demodulation,[],[f240,f2]) ).
fof(f240,plain,
true = ifeq(true,true,ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true),true),
inference(superposition,[],[f184,f52]) ).
fof(f52,plain,
true = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(superposition,[],[f50,f2]) ).
fof(f50,plain,
true = ifeq(true,true,c_lessequals(v_g(v_x),v_k(v_x),t_b),true),
inference(forward_demodulation,[],[f49,f29]) ).
fof(f29,plain,
true = class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(superposition,[],[f24,f2]) ).
fof(f24,plain,
true = ifeq(true,true,class_OrderedGroup_Opordered__ab__group__add(t_b),true),
inference(superposition,[],[f13,f14]) ).
fof(f14,axiom,
true = class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f13,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Opordered__ab__group__add(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f49,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,c_lessequals(v_g(v_x),v_k(v_x),t_b),true),
inference(forward_demodulation,[],[f48,f40]) ).
fof(f40,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(superposition,[],[f39,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f39,plain,
! [X0] : ifeq2(true,true,c_plus(c_0,X0,t_b),X0) = X0,
inference(superposition,[],[f3,f16]) ).
fof(f16,plain,
true = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(superposition,[],[f15,f2]) ).
fof(f15,plain,
true = ifeq(true,true,class_OrderedGroup_Ocomm__monoid__add(t_b),true),
inference(superposition,[],[f11,f14]) ).
fof(f11,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Ocomm__monoid__add(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f3,axiom,
! [X3,X4] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X3),true,c_plus(c_0,X4,X3),X4) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f48,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),
inference(forward_demodulation,[],[f46,f2]) ).
fof(f46,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),true),
inference(superposition,[],[f4,f7]) ).
fof(f7,axiom,
true = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,axiom,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(X5,c_minus(X6,X7,X3),X3),true,c_lessequals(c_plus(X5,X7,X3),X6,X3),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
fof(f184,plain,
! [X0] : true = ifeq(true,true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),true),
inference(forward_demodulation,[],[f183,f34]) ).
fof(f34,plain,
true = class_Orderings_Oorder(t_b),
inference(superposition,[],[f27,f2]) ).
fof(f27,plain,
true = ifeq(true,true,class_Orderings_Oorder(t_b),true),
inference(superposition,[],[f10,f22]) ).
fof(f22,plain,
true = class_Orderings_Olinorder(t_b),
inference(superposition,[],[f21,f2]) ).
fof(f21,plain,
true = ifeq(true,true,class_Orderings_Olinorder(t_b),true),
inference(superposition,[],[f12,f14]) ).
fof(f12,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_Orderings_Olinorder(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f10,axiom,
! [X10] : true = ifeq(class_Orderings_Olinorder(X10),true,class_Orderings_Oorder(X10),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f183,plain,
! [X0] : true = ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),true),
inference(forward_demodulation,[],[f163,f2]) ).
fof(f163,plain,
! [X0] : true = ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,ifeq(true,true,c_lessequals(X0,v_f(v_x),t_b),true),true),true),
inference(superposition,[],[f6,f8]) ).
fof(f8,axiom,
true = c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f6,axiom,
! [X3,X8,X9,X4] : true = ifeq(class_Orderings_Oorder(X3),true,ifeq(c_lessequals(X8,X4,X3),true,ifeq(c_lessequals(X4,X9,X3),true,c_lessequals(X8,X9,X3),true),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f75,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true),true),
inference(forward_demodulation,[],[f73,f29]) ).
fof(f73,plain,
! [X0,X1] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true),true),
inference(superposition,[],[f5,f40]) ).
fof(f5,axiom,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(c_plus(X5,X7,X3),X6,X3),true,c_lessequals(X5,c_minus(X6,X7,X3),X3),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:07:11 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (25484)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (25487)WARNING: value z3 for option sas not known
% 0.13/0.37 % (25488)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (25486)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (25485)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (25489)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)
% 0.13/0.37 % (25490)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)
% 0.13/0.37 % (25487)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)
% 0.13/0.37 % (25491)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (25487)First to succeed.
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (25490)Also succeeded, but the first one will report.
% 0.13/0.38 % (25487)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (25487)------------------------------
% 0.13/0.38 % (25487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (25487)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (25487)Memory used [KB]: 881
% 0.13/0.38 % (25487)Time elapsed: 0.014 s
% 0.13/0.38 % (25487)Instructions burned: 21 (million)
% 0.13/0.38 % (25487)------------------------------
% 0.13/0.38 % (25487)------------------------------
% 0.13/0.38 % (25484)Success in time 0.011 s
%------------------------------------------------------------------------------