TSTP Solution File: ANA030-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA030-2 : 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_sat --cores 0 -t %d %s
% Computer : n018.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 15:45:02 EDT 2022
% Result : Unsatisfiable 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 39 ( 22 unt; 0 def)
% Number of atoms : 60 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,plain,
$false,
inference(resolution,[],[f108,f2]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f108,plain,
! [X0] : c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b),
inference(backward_demodulation,[],[f55,f102]) ).
fof(f102,plain,
! [X2,X3] : c_plus(X2,X3,t_b) = c_plus(X3,X2,t_b),
inference(superposition,[],[f83,f24]) ).
fof(f24,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X0,c_uminus(X1,t_b),t_b),
inference(resolution,[],[f7,f18]) ).
fof(f18,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f15,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f15,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_OrderedGroup_Oab__group__add(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f7,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X3,c_uminus(X4,X1),X1) = c_plus(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
fof(f83,plain,
! [X2,X3] : c_plus(X2,X3,t_b) = c_minus(X3,c_uminus(X2,t_b),t_b),
inference(superposition,[],[f52,f25]) ).
fof(f25,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_uminus(c_minus(X0,X1,t_b),t_b),
inference(resolution,[],[f9,f18]) ).
fof(f9,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X3,X4,X1),X1) = c_minus(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f52,plain,
! [X6,X7] : c_plus(X6,X7,t_b) = c_uminus(c_minus(c_uminus(X6,t_b),X7,t_b),t_b),
inference(superposition,[],[f20,f30]) ).
fof(f30,plain,
! [X0,X1] : c_minus(c_uminus(X0,t_b),X1,t_b) = c_uminus(c_plus(X0,X1,t_b),t_b),
inference(forward_demodulation,[],[f29,f23]) ).
fof(f23,plain,
! [X0,X1] : c_plus(X0,c_uminus(X1,t_b),t_b) = c_minus(X0,X1,t_b),
inference(resolution,[],[f5,f18]) ).
fof(f5,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X3,c_uminus(X4,X1),X1) = c_minus(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__1_0) ).
fof(f29,plain,
! [X0,X1] : c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b) = c_uminus(c_plus(X0,X1,t_b),t_b),
inference(resolution,[],[f8,f18]) ).
fof(f8,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_plus(X3,X4,X1),X1) = c_plus(c_uminus(X3,X1),c_uminus(X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__add__distrib_0) ).
fof(f20,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(resolution,[],[f18,f10]) ).
fof(f10,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_uminus(X2,X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__minus_0) ).
fof(f55,plain,
! [X0] : c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b),
inference(subsumption_resolution,[],[f54,f21]) ).
fof(f21,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f19,f13]) ).
fof(f13,axiom,
! [X9] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X9)
| class_OrderedGroup_Opordered__ab__group__add(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f19,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f16,f3]) ).
fof(f16,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_OrderedGroup_Olordered__ab__group__abs(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f54,plain,
! [X0] :
( c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[],[f48,f6]) ).
fof(f6,axiom,
! [X3,X1,X4,X5] :
( ~ c_lessequals(c_minus(X3,X4,X1),X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(X3,c_plus(X5,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_0) ).
fof(f48,plain,
! [X0] : c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(subsumption_resolution,[],[f47,f17]) ).
fof(f17,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f14,f3]) ).
fof(f14,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_Orderings_Olinorder(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f47,plain,
! [X0] :
( ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b) ),
inference(resolution,[],[f46,f12]) ).
fof(f12,axiom,
! [X2,X8,X6,X7] :
( ~ c_lessequals(c_Orderings_Omax(X7,X2,X6),X8,X6)
| ~ class_Orderings_Olinorder(X6)
| c_lessequals(X7,X8,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
fof(f46,plain,
! [X0] : c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(backward_demodulation,[],[f1,f45]) ).
fof(f45,plain,
! [X0] : c_Orderings_Omax(X0,c_0,t_b) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b),
inference(subsumption_resolution,[],[f44,f19]) ).
fof(f44,plain,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_Orderings_Omax(X0,c_0,t_b) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b) ),
inference(resolution,[],[f22,f17]) ).
fof(f22,plain,
! [X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_Orderings_Omax(X0,c_0,X1) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,X1),X1) ),
inference(resolution,[],[f4,f11]) ).
fof(f11,axiom,
! [X2,X6,X7] :
( c_lessequals(X2,c_Orderings_Omax(X7,X2,X6),X6)
| ~ class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f4,axiom,
! [X2,X1] :
( ~ c_lessequals(c_0,X2,X1)
| c_HOL_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 29 15:17:24 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.15/0.43 % (22176)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.44 % (22184)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.49 % (22170)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.49 % (22170)Instruction limit reached!
% 0.15/0.49 % (22170)------------------------------
% 0.15/0.49 % (22170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (22170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (22170)Termination reason: Unknown
% 0.15/0.49 % (22170)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (22170)Memory used [KB]: 5373
% 0.15/0.49 % (22170)Time elapsed: 0.004 s
% 0.15/0.49 % (22170)Instructions burned: 2 (million)
% 0.15/0.49 % (22170)------------------------------
% 0.15/0.49 % (22170)------------------------------
% 0.15/0.49 % (22173)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.49 % (22186)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.49 % (22178)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.50 % (22181)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.50 % (22176)Instruction limit reached!
% 0.15/0.50 % (22176)------------------------------
% 0.15/0.50 % (22176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (22176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (22176)Termination reason: Unknown
% 0.15/0.50 % (22176)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (22176)Memory used [KB]: 6652
% 0.15/0.50 % (22176)Time elapsed: 0.040 s
% 0.15/0.50 % (22176)Instructions burned: 68 (million)
% 0.15/0.50 % (22176)------------------------------
% 0.15/0.50 % (22176)------------------------------
% 0.15/0.50 % (22186)First to succeed.
% 0.15/0.50 % (22186)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (22186)------------------------------
% 0.15/0.50 % (22186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (22186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (22186)Termination reason: Refutation
% 0.15/0.50
% 0.15/0.50 % (22186)Memory used [KB]: 5628
% 0.15/0.50 % (22186)Time elapsed: 0.120 s
% 0.15/0.50 % (22186)Instructions burned: 8 (million)
% 0.15/0.50 % (22186)------------------------------
% 0.15/0.50 % (22186)------------------------------
% 0.15/0.50 % (22161)Success in time 0.17 s
%------------------------------------------------------------------------------