TSTP Solution File: ANA019-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA019-2 : 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 : n010.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 15:44:58 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 38 ( 20 unt; 0 def)
% Number of atoms : 60 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 28 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(subsumption_resolution,[],[f49,f21]) ).
fof(f21,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[],[f15,f5]) ).
fof(f5,axiom,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f15,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f49,plain,
~ class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[],[f48,f9]) ).
fof(f9,axiom,
! [X3,X4] :
( c_lessequals(c_0,c_HOL_Oabs(X4,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f48,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a),
inference(subsumption_resolution,[],[f47,f33]) ).
fof(f33,plain,
c_lessequals(c_0,v_x,t_a),
inference(subsumption_resolution,[],[f23,f22]) ).
fof(f22,plain,
class_Orderings_Oorder(t_a),
inference(resolution,[],[f19,f12]) ).
fof(f12,axiom,
! [X7] :
( ~ class_LOrder_Ojoin__semilorder(X7)
| class_Orderings_Oorder(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f19,plain,
class_LOrder_Ojoin__semilorder(t_a),
inference(resolution,[],[f13,f5]) ).
fof(f13,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_LOrder_Ojoin__semilorder(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f23,plain,
( c_lessequals(c_0,v_x,t_a)
| ~ class_Orderings_Oorder(t_a) ),
inference(resolution,[],[f10,f2]) ).
fof(f2,axiom,
c_less(c_0,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f10,axiom,
! [X3,X1,X5] :
( ~ c_less(X1,X5,X3)
| ~ class_Orderings_Oorder(X3)
| c_lessequals(X1,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f47,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_x,t_a) ),
inference(subsumption_resolution,[],[f46,f20]) ).
fof(f20,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(resolution,[],[f14,f5]) ).
fof(f14,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_Ring__and__Field_Opordered__cancel__semiring(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f46,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| ~ c_lessequals(c_0,v_x,t_a) ),
inference(resolution,[],[f45,f11]) ).
fof(f11,axiom,
! [X3,X6,X4] :
( c_lessequals(c_0,c_times(X4,X6,X3),X3)
| ~ c_lessequals(c_0,X4,X3)
| ~ c_lessequals(c_0,X6,X3)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f45,plain,
~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(forward_demodulation,[],[f44,f35]) ).
fof(f35,plain,
c_0 = c_HOL_Oabs(c_0,t_a),
inference(resolution,[],[f21,f8]) ).
fof(f8,axiom,
! [X3] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
| c_0 = c_HOL_Oabs(c_0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1) ).
fof(f44,plain,
~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(forward_demodulation,[],[f43,f18]) ).
fof(f18,plain,
c_0 = v_f(c_0),
inference(forward_demodulation,[],[f16,f17]) ).
fof(f17,plain,
c_0 = sF0,
inference(definition_folding,[],[f1,f16]) ).
fof(f1,axiom,
c_0 = v_f(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f16,plain,
v_f(c_0) = sF0,
introduced(function_definition,[]) ).
fof(f43,plain,
~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(subsumption_resolution,[],[f42,f2]) ).
fof(f42,plain,
( ~ c_less(c_0,v_x,t_a)
| ~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),
inference(superposition,[],[f4,f41]) ).
fof(f41,plain,
c_0 = v_xa(v_x),
inference(subsumption_resolution,[],[f39,f2]) ).
fof(f39,plain,
( c_0 = v_xa(v_x)
| ~ c_less(c_0,v_x,t_a) ),
inference(resolution,[],[f38,f4]) ).
fof(f38,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_x,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
| c_0 = X0 ),
inference(superposition,[],[f3,f34]) ).
fof(f34,plain,
! [X0] :
( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
| c_0 = X0 ),
inference(resolution,[],[f6,f7]) ).
fof(f7,axiom,
! [X2] :
( c_less(c_0,X2,tc_nat)
| c_0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f6,axiom,
! [X1] :
( ~ c_less(c_0,X1,tc_nat)
| c_Suc(c_minus(X1,c_1,tc_nat)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).
fof(f3,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,axiom,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
| ~ c_less(c_0,X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ANA019-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 15:05:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (27393)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (27409)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (27409)First to succeed.
% 0.20/0.52 % (27409)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (27409)------------------------------
% 0.20/0.52 % (27409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (27409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (27409)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (27409)Memory used [KB]: 5373
% 0.20/0.52 % (27409)Time elapsed: 0.105 s
% 0.20/0.52 % (27409)Instructions burned: 3 (million)
% 0.20/0.52 % (27409)------------------------------
% 0.20/0.52 % (27409)------------------------------
% 0.20/0.52 % (27384)Success in time 0.159 s
%------------------------------------------------------------------------------