TSTP Solution File: ANA010-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA010-2 : 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 : n012.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 10:30:42 EDT 2024
% Result : Unsatisfiable 0.08s 0.29s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,plain,
$false,
inference(subsumption_resolution,[],[f54,f5]) ).
fof(f5,axiom,
! [X6] : c_lessequals(v_f(X6),c_times(v_c,v_g(X6),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f54,plain,
~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
inference(superposition,[],[f36,f22]) ).
fof(f22,plain,
! [X0] : c_times(v_c,v_g(X0),t_b) = c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b),
inference(unit_resulting_resolution,[],[f10,f16,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f16,plain,
! [X0] : c_lessequals(c_0,c_times(v_c,v_g(X0),t_b),t_b),
inference(unit_resulting_resolution,[],[f12,f5,f4,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f4,axiom,
! [X6] : c_lessequals(c_0,v_f(X6),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f12,plain,
class_Orderings_Oorder(t_b),
inference(unit_resulting_resolution,[],[f10,f7]) ).
fof(f7,axiom,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
| class_Orderings_Oorder(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f10,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unit_resulting_resolution,[],[f9,f8]) ).
fof(f8,axiom,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f9,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f36,plain,
! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
inference(superposition,[],[f6,f29]) ).
fof(f29,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(unit_resulting_resolution,[],[f9,f3]) ).
fof(f3,axiom,
! [X0,X4,X5] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X4,X5,X0),X0) = c_times(c_HOL_Oabs(X4,X0),c_HOL_Oabs(X5,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f6,axiom,
! [X6] : ~ c_lessequals(v_f(v_x(X6)),c_times(X6,c_HOL_Oabs(v_g(v_x(X6)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ANA010-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n012.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Apr 30 00:04:41 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % (26218)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.28 % (26221)WARNING: value z3 for option sas not known
% 0.08/0.28 % (26222)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.28 % (26220)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.08/0.28 % (26219)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.28 % (26223)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)
% 0.08/0.28 % (26224)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)
% 0.08/0.28 % (26221)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)
% 0.08/0.28 % (26225)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)
% 0.08/0.28 TRYING [1]
% 0.08/0.28 TRYING [1]
% 0.08/0.28 TRYING [2]
% 0.08/0.28 TRYING [2]
% 0.08/0.29 % (26225)First to succeed.
% 0.08/0.29 TRYING [3]
% 0.08/0.29 TRYING [3]
% 0.08/0.29 % (26224)Also succeeded, but the first one will report.
% 0.08/0.29 TRYING [1]
% 0.08/0.29 % (26225)Refutation found. Thanks to Tanya!
% 0.08/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.29 % (26225)------------------------------
% 0.08/0.29 % (26225)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.08/0.29 % (26225)Termination reason: Refutation
% 0.08/0.29
% 0.08/0.29 % (26225)Memory used [KB]: 831
% 0.08/0.29 % (26225)Time elapsed: 0.003 s
% 0.08/0.29 % (26225)Instructions burned: 5 (million)
% 0.08/0.29 % (26225)------------------------------
% 0.08/0.29 % (26225)------------------------------
% 0.08/0.29 % (26218)Success in time 0.012 s
%------------------------------------------------------------------------------