TSTP Solution File: ANA031-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA031-2 : 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 : n026.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 10:31:18 EDT 2024
% Result : Unsatisfiable 80.46s 11.81s
% Output : Refutation 80.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 47 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79463,plain,
$false,
inference(subsumption_resolution,[],[f79462,f15]) ).
fof(f15,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f10,f11]) ).
fof(f11,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f10,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f79462,plain,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f79432,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f79432,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b),
inference(resolution,[],[f28868,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f28868,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b) ),
inference(resolution,[],[f581,f468]) ).
fof(f468,plain,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_g(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f2,f97]) ).
fof(f97,plain,
! [X2,X0,X1] : c_times(X1,c_times(X0,X2,t_b),t_b) = c_times(X1,c_times(X2,X0,t_b),t_b),
inference(superposition,[],[f31,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X2,c_times(X0,X1,t_b),t_b),
inference(superposition,[],[f17,f16]) ).
fof(f16,plain,
! [X0,X1] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(resolution,[],[f5,f12]) ).
fof(f12,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolution,[],[f7,f11]) ).
fof(f7,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f5,axiom,
! [X2,X3,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,X3,X1) = c_times(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
fof(f17,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(resolution,[],[f4,f13]) ).
fof(f13,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(resolution,[],[f8,f11]) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f4,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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f31,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(X1,c_times(X0,X2,t_b),t_b),
inference(superposition,[],[f18,f17]) ).
fof(f18,plain,
! [X2,X0,X1] : c_times(X0,c_times(X1,X2,t_b),t_b) = c_times(c_times(X1,X0,t_b),X2,t_b),
inference(superposition,[],[f17,f16]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f581,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X3,X0,t_b),c_times(X1,c_times(X2,X0,t_b),t_b),t_b)
| ~ c_lessequals(X3,c_times(X1,X2,t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(superposition,[],[f247,f21]) ).
fof(f247,plain,
! [X2,X0,X1] :
( c_lessequals(c_times(X1,X0,t_b),c_times(X0,X2,t_b),t_b)
| ~ c_lessequals(X1,X2,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(subsumption_resolution,[],[f227,f14]) ).
fof(f14,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f9,f11]) ).
fof(f9,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f227,plain,
! [X2,X0,X1] :
( c_lessequals(c_times(X1,X0,t_b),c_times(X0,X2,t_b),t_b)
| ~ c_lessequals(X1,X2,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f6,f16]) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n026.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 00:31:04 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.10/0.27 % (11250)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.27 % (11253)WARNING: value z3 for option sas not known
% 0.10/0.28 % (11254)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.28 % (11256)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)
% 0.10/0.28 % (11252)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.28 % (11251)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.28 % (11255)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)
% 0.10/0.28 % (11253)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)
% 0.10/0.28 % (11257)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)
% 0.10/0.28 TRYING [1]
% 0.10/0.28 TRYING [1]
% 0.10/0.28 TRYING [2]
% 0.10/0.28 TRYING [2]
% 0.10/0.28 TRYING [3]
% 0.10/0.28 TRYING [3]
% 3.11/0.74 TRYING [4]
% 3.52/0.82 TRYING [4]
% 7.72/1.39 TRYING [1]
% 7.72/1.39 TRYING [2]
% 7.72/1.39 TRYING [3]
% 10.84/1.88 TRYING [4]
% 80.46/11.81 % (11253)First to succeed.
% 80.46/11.81 % (11253)Refutation found. Thanks to Tanya!
% 80.46/11.81 % SZS status Unsatisfiable for theBenchmark
% 80.46/11.81 % SZS output start Proof for theBenchmark
% See solution above
% 80.46/11.81 % (11253)------------------------------
% 80.46/11.81 % (11253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 80.46/11.81 % (11253)Termination reason: Refutation
% 80.46/11.81
% 80.46/11.81 % (11253)Memory used [KB]: 42071
% 80.46/11.81 % (11253)Time elapsed: 11.533 s
% 80.46/11.81 % (11253)Instructions burned: 52019 (million)
% 80.46/11.81 % (11253)------------------------------
% 80.46/11.81 % (11253)------------------------------
% 80.46/11.81 % (11250)Success in time 11.369 s
%------------------------------------------------------------------------------