TSTP Solution File: ANA015-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n005.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 1.29s 0.53s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 59 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 28 ~; 23 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f96]) ).
fof(f96,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f85,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f85,plain,
( ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(sF0,t_a),X0,t_a))),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(sF0,t_a),X0,t_a))),t_a),t_a),t_a)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f74,f48]) ).
fof(f48,plain,
( c_lessequals(c_0,c_HOL_Oabs(sF0,t_a),t_a)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl1_1
<=> c_lessequals(c_0,c_HOL_Oabs(sF0,t_a),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f74,plain,
! [X0] :
( ~ c_lessequals(c_0,c_HOL_Oabs(sF0,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(sF0,t_a),X0,t_a))),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(sF0,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_0,c_HOL_Oabs(X0,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(X1,t_a),X2,t_a) ),
inference(subsumption_resolution,[],[f23,f18]) ).
fof(f18,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference(resolution,[],[f10,f12]) ).
fof(f12,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f10,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_46) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(X1,t_a),X2,t_a)
| ~ class_Ring__and__Field_Opordered__semiring(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,[],[f4,f21]) ).
fof(f21,plain,
! [X0,X1] : c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a) = c_HOL_Oabs(c_times(X0,X1,t_a),t_a),
inference(resolution,[],[f3,f16]) ).
fof(f16,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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/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(sF0,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,[],[f14,f20]) ).
fof(f20,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,[],[f2,f17]) ).
fof(f17,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(resolution,[],[f15,f7]) ).
fof(f7,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f14,plain,
! [X4] : ~ c_lessequals(c_HOL_Oabs(c_times(sF0,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),
inference(definition_folding,[],[f6,f13]) ).
fof(f13,plain,
c_HOL_Oinverse(v_c,t_a) = sF0,
introduced(function_definition,[]) ).
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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f57,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f55,f19]) ).
fof(f19,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[],[f11,f12]) ).
fof(f11,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
fof(f55,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl1_1 ),
inference(resolution,[],[f49,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f49,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(sF0,t_a),t_a)
| spl1_1 ),
inference(avatar_component_clause,[],[f47]) ).
%------------------------------------------------------------------------------
%----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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 15:12:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (25698)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (25710)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)
% 1.29/0.53 % (25696)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)
% 1.29/0.53 % (25700)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53 % (25697)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)
% 1.29/0.53 % (25697)Refutation not found, incomplete strategy% (25697)------------------------------
% 1.29/0.53 % (25697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (25697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (25697)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.53
% 1.29/0.53 % (25697)Memory used [KB]: 5373
% 1.29/0.53 % (25697)Time elapsed: 0.094 s
% 1.29/0.53 % (25697)Instructions burned: 2 (million)
% 1.29/0.53 % (25697)------------------------------
% 1.29/0.53 % (25697)------------------------------
% 1.29/0.53 % (25713)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.29/0.53 % (25719)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)
% 1.29/0.53 % (25714)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53 % (25701)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)
% 1.29/0.53 % (25702)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53 % (25723)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.29/0.53 TRYING [1]
% 1.29/0.53 TRYING [2]
% 1.29/0.53 % (25714)First to succeed.
% 1.29/0.53 % (25714)Refutation found. Thanks to Tanya!
% 1.29/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.53 % (25714)------------------------------
% 1.29/0.53 % (25714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (25714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (25714)Termination reason: Refutation
% 1.29/0.53
% 1.29/0.53 % (25714)Memory used [KB]: 5628
% 1.29/0.53 % (25714)Time elapsed: 0.130 s
% 1.29/0.53 % (25714)Instructions burned: 5 (million)
% 1.29/0.53 % (25714)------------------------------
% 1.29/0.53 % (25714)------------------------------
% 1.29/0.53 % (25695)Success in time 0.181 s
%------------------------------------------------------------------------------