TSTP Solution File: ANA018-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA018-2 : 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 : n014.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 15:44:57 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 52 ( 37 unt; 0 def)
% Number of atoms : 76 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f304,plain,
$false,
inference(subsumption_resolution,[],[f300,f27]) ).
fof(f27,plain,
~ c_lessequals(sF6,sF10,t_b),
inference(definition_folding,[],[f4,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
v_x(v_xa) = sF5,
introduced(function_definition,[]) ).
fof(f22,plain,
sF6 = c_HOL_Oabs(sF5,t_b),
introduced(function_definition,[]) ).
fof(f23,plain,
c_times(v_ca,v_c,t_b) = sF7,
introduced(function_definition,[]) ).
fof(f24,plain,
v_g(v_xa) = sF8,
introduced(function_definition,[]) ).
fof(f25,plain,
c_HOL_Oabs(sF8,t_b) = sF9,
introduced(function_definition,[]) ).
fof(f26,plain,
c_times(sF7,sF9,t_b) = sF10,
introduced(function_definition,[]) ).
fof(f4,axiom,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f300,plain,
c_lessequals(sF6,sF10,t_b),
inference(resolution,[],[f299,f44]) ).
fof(f44,plain,
! [X5] :
( ~ c_lessequals(sF4(v_xa),X5,t_b)
| c_lessequals(sF6,X5,t_b) ),
inference(subsumption_resolution,[],[f43,f30]) ).
fof(f30,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f29,f10]) ).
fof(f10,axiom,
! [X8] :
( ~ class_LOrder_Ojoin__semilorder(X8)
| class_Orderings_Oorder(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f29,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[],[f12,f5]) ).
fof(f5,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f12,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_LOrder_Ojoin__semilorder(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f43,plain,
! [X5] :
( ~ c_lessequals(sF4(v_xa),X5,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF6,X5,t_b) ),
inference(resolution,[],[f7,f36]) ).
fof(f36,plain,
c_lessequals(sF6,sF4(v_xa),t_b),
inference(superposition,[],[f20,f35]) ).
fof(f35,plain,
sF3(v_xa) = sF6,
inference(forward_demodulation,[],[f34,f22]) ).
fof(f34,plain,
sF3(v_xa) = c_HOL_Oabs(sF5,t_b),
inference(superposition,[],[f18,f21]) ).
fof(f18,plain,
! [X0] : c_HOL_Oabs(v_x(X0),t_b) = sF3(X0),
introduced(function_definition,[]) ).
fof(f20,plain,
! [X0] : c_lessequals(sF3(X0),sF4(X0),t_b),
inference(definition_folding,[],[f3,f19,f14,f18]) ).
fof(f14,plain,
! [X0] : c_HOL_Oabs(v_f(X0),t_b) = sF0(X0),
introduced(function_definition,[]) ).
fof(f19,plain,
! [X0] : c_times(v_ca,sF0(X0),t_b) = sF4(X0),
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f7,axiom,
! [X1,X6,X7,X5] :
( ~ c_lessequals(X7,X5,X1)
| ~ c_lessequals(X5,X6,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X7,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f299,plain,
c_lessequals(sF4(v_xa),sF10,t_b),
inference(resolution,[],[f297,f17]) ).
fof(f17,plain,
! [X0] : c_lessequals(sF0(X0),sF2(X0),t_b),
inference(definition_folding,[],[f1,f16,f15,f14]) ).
fof(f15,plain,
! [X0] : c_HOL_Oabs(v_g(X0),t_b) = sF1(X0),
introduced(function_definition,[]) ).
fof(f16,plain,
! [X0] : c_times(v_c,sF1(X0),t_b) = sF2(X0),
introduced(function_definition,[]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f297,plain,
! [X10] :
( ~ c_lessequals(sF0(X10),sF2(v_xa),t_b)
| c_lessequals(sF4(X10),sF10,t_b) ),
inference(superposition,[],[f142,f61]) ).
fof(f61,plain,
sF10 = c_times(v_ca,sF2(v_xa),t_b),
inference(forward_demodulation,[],[f57,f26]) ).
fof(f57,plain,
c_times(sF7,sF9,t_b) = c_times(v_ca,sF2(v_xa),t_b),
inference(superposition,[],[f52,f37]) ).
fof(f37,plain,
c_times(v_c,sF9,t_b) = sF2(v_xa),
inference(superposition,[],[f16,f33]) ).
fof(f33,plain,
sF1(v_xa) = sF9,
inference(forward_demodulation,[],[f32,f25]) ).
fof(f32,plain,
sF1(v_xa) = c_HOL_Oabs(sF8,t_b),
inference(superposition,[],[f15,f24]) ).
fof(f52,plain,
! [X7] : c_times(v_ca,c_times(v_c,X7,t_b),t_b) = c_times(sF7,X7,t_b),
inference(superposition,[],[f48,f23]) ).
fof(f48,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(c_times(X0,X1,t_b),X2,t_b),
inference(resolution,[],[f6,f28]) ).
fof(f28,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(resolution,[],[f11,f5]) ).
fof(f11,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_OrderedGroup_Osemigroup__mult(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f142,plain,
! [X21,X20] :
( c_lessequals(sF4(X20),c_times(v_ca,X21,t_b),t_b)
| ~ c_lessequals(sF0(X20),X21,t_b) ),
inference(subsumption_resolution,[],[f141,f31]) ).
fof(f31,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f13,f5]) ).
fof(f13,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_Ring__and__Field_Opordered__semiring(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f141,plain,
! [X21,X20] :
( ~ c_lessequals(sF0(X20),X21,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(sF4(X20),c_times(v_ca,X21,t_b),t_b) ),
inference(subsumption_resolution,[],[f96,f39]) ).
fof(f39,plain,
c_lessequals(c_0,v_ca,t_b),
inference(subsumption_resolution,[],[f38,f30]) ).
fof(f38,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,v_ca,t_b) ),
inference(resolution,[],[f8,f2]) ).
fof(f2,axiom,
c_less(c_0,v_ca,t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,axiom,
! [X1,X7,X5] :
( ~ c_less(X7,X5,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X7,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f96,plain,
! [X21,X20] :
( ~ c_lessequals(sF0(X20),X21,t_b)
| c_lessequals(sF4(X20),c_times(v_ca,X21,t_b),t_b)
| ~ c_lessequals(c_0,v_ca,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f9,f19]) ).
fof(f9,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.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 15:13:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (30632)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (30640)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 % (30634)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (30650)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (30650)First to succeed.
% 0.20/0.51 % (30643)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (30648)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (30630)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (30626)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (30638)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (30625)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (30650)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (30650)------------------------------
% 0.20/0.53 % (30650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30650)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (30650)Memory used [KB]: 5628
% 0.20/0.53 % (30650)Time elapsed: 0.117 s
% 0.20/0.53 % (30650)Instructions burned: 9 (million)
% 0.20/0.53 % (30650)------------------------------
% 0.20/0.53 % (30650)------------------------------
% 0.20/0.53 % (30624)Success in time 0.181 s
%------------------------------------------------------------------------------