TSTP Solution File: ANA014-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 10:30:54 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 54 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(subsumption_resolution,[],[f105,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f105,plain,
~ class_Ring__and__Field_Oordered__field(t_a),
inference(resolution,[],[f104,f13]) ).
fof(f13,axiom,
! [X7] :
( class_Orderings_Oorder(X7)
| ~ class_Ring__and__Field_Oordered__field(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
fof(f104,plain,
~ class_Orderings_Oorder(t_a),
inference(resolution,[],[f49,f6]) ).
fof(f6,axiom,
! [X1,X6] :
( c_lessequals(X6,X6,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f49,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a),
inference(subsumption_resolution,[],[f47,f1]) ).
fof(f1,axiom,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f47,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a)
| v_c = c_0 ),
inference(superposition,[],[f26,f37]) ).
fof(f37,plain,
! [X0,X1] :
( c_times(c_HOL_Oinverse(X0,t_a),c_times(X0,X1,t_a),t_a) = X1
| c_0 = X0 ),
inference(forward_demodulation,[],[f31,f17]) ).
fof(f17,plain,
! [X0] : c_times(c_1,X0,t_a) = X0,
inference(resolution,[],[f16,f3]) ).
fof(f16,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_times(c_1,X0,X1) = X0 ),
inference(resolution,[],[f4,f15]) ).
fof(f15,plain,
! [X0] :
( class_OrderedGroup_Omonoid__mult(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(resolution,[],[f11,f9]) ).
fof(f9,axiom,
! [X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| class_OrderedGroup_Omonoid__mult(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
fof(f11,axiom,
! [X7] :
( class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Oordered__field(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f4,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f31,plain,
! [X0,X1] :
( c_times(c_HOL_Oinverse(X0,t_a),c_times(X0,X1,t_a),t_a) = c_times(c_1,X1,t_a)
| c_0 = X0 ),
inference(superposition,[],[f29,f19]) ).
fof(f19,plain,
! [X0] :
( c_1 = c_times(c_HOL_Oinverse(X0,t_a),X0,t_a)
| c_0 = X0 ),
inference(resolution,[],[f18,f3]) ).
fof(f18,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_1 = c_times(c_HOL_Oinverse(X0,X1),X0,X1)
| c_0 = X0 ),
inference(resolution,[],[f8,f11]) ).
fof(f8,axiom,
! [X3,X1] :
( ~ class_Ring__and__Field_Ofield(X1)
| c_0 = X3
| c_1 = c_times(c_HOL_Oinverse(X3,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
fof(f29,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,[],[f21,f3]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) ),
inference(resolution,[],[f5,f14]) ).
fof(f14,plain,
! [X0] :
( class_OrderedGroup_Osemigroup__mult(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(resolution,[],[f11,f10]) ).
fof(f10,axiom,
! [X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| class_OrderedGroup_Osemigroup__mult(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f5,axiom,
! [X3,X1,X4,X5] :
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X3,X4,X1),X5,X1) = c_times(X3,c_times(X4,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f26,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),c_HOL_Oabs(c_times(X0,c_times(v_c,v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[],[f24,f23]) ).
fof(f23,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,[],[f22,f3]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2) ),
inference(resolution,[],[f7,f12]) ).
fof(f12,axiom,
! [X7] :
( class_Ring__and__Field_Oordered__idom(X7)
| ~ class_Ring__and__Field_Oordered__field(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(f7,axiom,
! [X3,X1,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X3,X4,X1),X1) = c_times(c_HOL_Oabs(X3,X1),c_HOL_Oabs(X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f24,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_HOL_Oabs(c_times(v_c,v_f(v_x(X0)),t_a),t_a),t_a),t_a),
inference(superposition,[],[f2,f23]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 00:05:49 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (18053)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (18056)WARNING: value z3 for option sas not known
% 0.14/0.38 % (18057)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (18055)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (18054)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (18059)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (18056)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (18060)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (18058)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (18056)First to succeed.
% 0.14/0.39 % (18060)Also succeeded, but the first one will report.
% 0.14/0.39 % (18056)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (18056)------------------------------
% 0.14/0.39 % (18056)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (18056)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (18056)Memory used [KB]: 849
% 0.14/0.39 % (18056)Time elapsed: 0.009 s
% 0.14/0.39 % (18056)Instructions burned: 10 (million)
% 0.14/0.39 % (18056)------------------------------
% 0.14/0.39 % (18056)------------------------------
% 0.14/0.39 % (18053)Success in time 0.025 s
%------------------------------------------------------------------------------