TSTP Solution File: ANA023-10 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.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 : Wed Aug 31 15:44:37 EDT 2022
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% 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 : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(subsumption_resolution,[],[f168,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(f168,plain,
true = c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(forward_demodulation,[],[f157,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f157,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(superposition,[],[f51,f150]) ).
fof(f150,plain,
true = c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(forward_demodulation,[],[f148,f2]) ).
fof(f148,plain,
true = ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true),
inference(superposition,[],[f82,f33]) ).
fof(f33,plain,
true = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(forward_demodulation,[],[f32,f2]) ).
fof(f32,plain,
true = ifeq(true,true,c_lessequals(v_g(v_x),v_k(v_x),t_b),true),
inference(forward_demodulation,[],[f31,f22]) ).
fof(f22,plain,
true = class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(forward_demodulation,[],[f21,f2]) ).
fof(f21,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(f31,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,[],[f30,f24]) ).
fof(f24,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(forward_demodulation,[],[f23,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f23,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(forward_demodulation,[],[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(f30,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,[],[f29,f2]) ).
fof(f29,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(f82,plain,
! [X0] : true = ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),
inference(forward_demodulation,[],[f81,f2]) ).
fof(f81,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,[],[f80,f28]) ).
fof(f28,plain,
true = class_Orderings_Oorder(t_b),
inference(forward_demodulation,[],[f26,f2]) ).
fof(f26,plain,
true = ifeq(true,true,class_Orderings_Oorder(t_b),true),
inference(superposition,[],[f10,f20]) ).
fof(f20,plain,
true = class_Orderings_Olinorder(t_b),
inference(forward_demodulation,[],[f19,f2]) ).
fof(f19,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(f80,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,[],[f67,f2]) ).
fof(f67,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(f51,plain,
! [X2,X1] : true = ifeq(c_lessequals(X1,X2,t_b),true,c_lessequals(c_0,c_minus(X2,X1,t_b),t_b),true),
inference(forward_demodulation,[],[f50,f2]) ).
fof(f50,plain,
! [X2,X1] : true = ifeq(true,true,ifeq(c_lessequals(X1,X2,t_b),true,c_lessequals(c_0,c_minus(X2,X1,t_b),t_b),true),true),
inference(forward_demodulation,[],[f48,f22]) ).
fof(f48,plain,
! [X2,X1] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(c_lessequals(X1,X2,t_b),true,c_lessequals(c_0,c_minus(X2,X1,t_b),t_b),true),true),
inference(superposition,[],[f5,f24]) ).
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
% 0.04/0.13 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 29 14:58:00 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 % (8606)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.21/0.48 % (8622)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.49 % (8622)First to succeed.
% 0.21/0.49 % (8622)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (8622)------------------------------
% 0.21/0.49 % (8622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (8622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (8622)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (8622)Memory used [KB]: 5628
% 0.21/0.49 % (8622)Time elapsed: 0.085 s
% 0.21/0.49 % (8622)Instructions burned: 8 (million)
% 0.21/0.49 % (8622)------------------------------
% 0.21/0.49 % (8622)------------------------------
% 0.21/0.49 % (8592)Success in time 0.126 s
%------------------------------------------------------------------------------