TSTP Solution File: ANA015-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n023.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 15:44:34 EDT 2022
% Result : Unsatisfiable 1.38s 0.53s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 42 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,plain,
$false,
inference(resolution,[],[f157,f5]) ).
fof(f5,axiom,
! [X4] : c_lessequals(c_HOL_Oabs(v_g(X4),t_a),c_times(v_d,c_HOL_Oabs(v_f(X4),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f157,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),X0,t_a))),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),X0,t_a))),t_a),t_a),t_a),
inference(resolution,[],[f29,f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(X1,t_a),X2,t_a) ),
inference(subsumption_resolution,[],[f23,f17]) ).
fof(f17,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f16,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[],[f11,f12]) ).
fof(f12,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f11,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(X1,t_a),X2,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a) ),
inference(superposition,[],[f19,f18]) ).
fof(f18,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_a),t_a) = c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a),
inference(resolution,[],[f3,f14]) ).
fof(f14,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(resolution,[],[f9,f12]) ).
fof(f9,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f19,plain,
! [X2,X0,X1] :
( c_lessequals(c_times(X2,X0,t_a),c_times(X2,X1,t_a),t_a)
| ~ c_lessequals(X0,X1,t_a)
| ~ c_lessequals(c_0,X2,t_a) ),
inference(resolution,[],[f4,f15]) ).
fof(f15,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference(resolution,[],[f10,f12]) ).
fof(f10,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_46) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Opordered__semiring(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0)
| ~ c_lessequals(c_0,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f29,plain,
! [X0,X1] : ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X0,X1,t_a))),t_a),t_a),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[],[f6,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(resolution,[],[f20,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f20,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(resolution,[],[f7,f13]) ).
fof(f13,plain,
class_Ring__and__Field_Ofield(t_a),
inference(resolution,[],[f8,f12]) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f7,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f6,axiom,
! [X4] : ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X4)),t_a),t_a),c_times(X4,c_HOL_Oabs(v_f(v_x(X4)),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:33:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (26504)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50 % (26529)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51 % (26513)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.27/0.51 % (26529)Refutation not found, incomplete strategy% (26529)------------------------------
% 1.27/0.51 % (26529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.51 % (26529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.51 % (26529)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.51
% 1.27/0.51 % (26529)Memory used [KB]: 5756
% 1.27/0.51 % (26529)Time elapsed: 0.105 s
% 1.27/0.51 % (26529)Instructions burned: 1 (million)
% 1.27/0.51 % (26529)------------------------------
% 1.27/0.51 % (26529)------------------------------
% 1.27/0.51 % (26515)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.27/0.51 % (26506)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.27/0.51 % (26512)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.27/0.51 % (26514)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.27/0.52 % (26514)Instruction limit reached!
% 1.27/0.52 % (26514)------------------------------
% 1.27/0.52 % (26514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.52 % (26514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.52 % (26514)Termination reason: Unknown
% 1.27/0.52 % (26514)Termination phase: Saturation
% 1.27/0.52
% 1.27/0.52 % (26514)Memory used [KB]: 5884
% 1.27/0.52 % (26514)Time elapsed: 0.115 s
% 1.27/0.52 % (26514)Instructions burned: 4 (million)
% 1.27/0.52 % (26514)------------------------------
% 1.27/0.52 % (26514)------------------------------
% 1.27/0.52 % (26512)First to succeed.
% 1.27/0.52 % (26516)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.27/0.52 % (26521)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.27/0.52 % (26524)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.27/0.53 % (26502)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.27/0.53 % (26519)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.27/0.53 % (26521)Instruction limit reached!
% 1.27/0.53 % (26521)------------------------------
% 1.27/0.53 % (26521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53 % (26521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53 % (26521)Termination reason: Unknown
% 1.27/0.53 % (26521)Termination phase: Saturation
% 1.27/0.53
% 1.27/0.53 % (26521)Memory used [KB]: 1535
% 1.27/0.53 % (26521)Time elapsed: 0.122 s
% 1.27/0.53 % (26521)Instructions burned: 6 (million)
% 1.27/0.53 % (26521)------------------------------
% 1.27/0.53 % (26521)------------------------------
% 1.27/0.53 % (26505)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.38/0.53 % (26512)Refutation found. Thanks to Tanya!
% 1.38/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.38/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.53 % (26512)------------------------------
% 1.38/0.53 % (26512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (26512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (26512)Termination reason: Refutation
% 1.38/0.53
% 1.38/0.53 % (26512)Memory used [KB]: 6012
% 1.38/0.53 % (26512)Time elapsed: 0.122 s
% 1.38/0.53 % (26512)Instructions burned: 12 (million)
% 1.38/0.53 % (26512)------------------------------
% 1.38/0.53 % (26512)------------------------------
% 1.38/0.53 % (26497)Success in time 0.173 s
%------------------------------------------------------------------------------