TSTP Solution File: ANA009-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA009-1 : 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 : n022.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 : Sun May 5 04:31:31 EDT 2024
% Result : Unsatisfiable 118.68s 17.39s
% Output : Refutation 118.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 42 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 25 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 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 : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f321274,plain,
$false,
inference(resolution,[],[f321271,f2783]) ).
fof(f2783,axiom,
! [X29] : c_lessequals(v_lb(X29),v_f(X29),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f321271,plain,
~ c_lessequals(v_lb(v_x),v_f(v_x),t_b),
inference(resolution,[],[f321251,f2786]) ).
fof(f2786,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f321251,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ c_lessequals(v_lb(v_x),v_f(v_x),t_b) ),
inference(resolution,[],[f321204,f2467]) ).
fof(f2467,axiom,
! [X87] :
( class_OrderedGroup_Opordered__ab__group__add(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f321204,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(v_lb(v_x),v_f(v_x),t_b) ),
inference(resolution,[],[f321136,f1095]) ).
fof(f1095,axiom,
! [X3,X0,X1] :
( c_lessequals(c_minus(X3,X1,X0),c_0,X0)
| ~ c_lessequals(X3,X1,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).
fof(f321136,plain,
~ c_lessequals(c_minus(v_lb(v_x),v_f(v_x),t_b),c_0,t_b),
inference(backward_demodulation,[],[f316136,f320978]) ).
fof(f320978,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(resolution,[],[f39148,f2786]) ).
fof(f39148,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2) ),
inference(resolution,[],[f1109,f2451]) ).
fof(f2451,axiom,
! [X87] :
( class_OrderedGroup_Oab__group__add(X87)
| ~ class_Ring__and__Field_Oordered__idom(X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f1109,axiom,
! [X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_minus(X3,X1,X0),X0) = c_minus(X1,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f316136,plain,
~ c_lessequals(c_uminus(c_minus(v_f(v_x),v_lb(v_x),t_b),t_b),c_0,t_b),
inference(backward_demodulation,[],[f22767,f315942]) ).
fof(f315942,plain,
! [X0,X1] : c_plus(X1,c_uminus(X0,t_b),t_b) = c_minus(X1,X0,t_b),
inference(superposition,[],[f315853,f6055]) ).
fof(f6055,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(resolution,[],[f5659,f2786]) ).
fof(f5659,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_uminus(c_uminus(X0,X1),X1) = X0 ),
inference(resolution,[],[f1110,f2451]) ).
fof(f1110,axiom,
! [X10,X0] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_uminus(X10,X0),X0) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__minus_0) ).
fof(f315853,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X0,c_uminus(X1,t_b),t_b),
inference(resolution,[],[f38594,f2786]) ).
fof(f38594,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_plus(X0,X1,X2) = c_minus(X0,c_uminus(X1,X2),X2) ),
inference(resolution,[],[f1098,f2451]) ).
fof(f1098,axiom,
! [X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X3,X1,X0) = c_minus(X3,c_uminus(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
fof(f22767,plain,
~ c_lessequals(c_uminus(c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),c_0,t_b),
inference(resolution,[],[f22738,f2786]) ).
fof(f22738,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ c_lessequals(c_uminus(c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),c_0,t_b) ),
inference(resolution,[],[f17730,f2467]) ).
fof(f17730,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_uminus(c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),c_0,t_b) ),
inference(resolution,[],[f1123,f2785]) ).
fof(f2785,axiom,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1123,axiom,
! [X3,X0] :
( c_lessequals(c_0,X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(c_uminus(X3,X0),c_0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oneg__le__0__iff__le_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ANA009-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 15:30:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (15958)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (15961)WARNING: value z3 for option sas not known
% 0.17/0.43 % (15963)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)
% 0.17/0.43 % (15961)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)
% 0.17/0.43 % (15962)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.43 % (15959)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.43 % (15964)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)
% 0.17/0.43 % (15960)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.43 % (15965)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)
% 1.84/0.71 TRYING [1]
% 5.65/1.22 TRYING [2]
% 8.10/1.58 TRYING [1]
% 8.91/1.76 TRYING [1]
% 12.08/2.14 TRYING [2]
% 12.29/2.17 TRYING [2]
% 100.06/14.74 Cannot represent all propositional literals internally
% 101.58/14.94 % (15960)Refutation not found, incomplete strategy% (15960)------------------------------
% 101.58/14.94 % (15960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 101.58/14.94 % (15960)Termination reason: Refutation not found, incomplete strategy
% 101.58/14.94
% 101.58/14.94 % (15960)Memory used [KB]: 188317
% 101.58/14.94 % (15960)Time elapsed: 14.473 s
% 101.58/14.94 % (15960)Instructions burned: 23106 (million)
% 101.58/14.94 % (15960)------------------------------
% 101.58/14.94 % (15960)------------------------------
% 101.70/15.00 % (16009)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 103.80/15.27 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 103.80/15.27 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,1]
% 103.80/15.27 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 105.87/15.56 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 118.07/17.36 % (15964)First to succeed.
% 118.07/17.36 % (15964)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15958"
% 118.68/17.39 % (15964)Refutation found. Thanks to Tanya!
% 118.68/17.39 % SZS status Unsatisfiable for theBenchmark
% 118.68/17.39 % SZS output start Proof for theBenchmark
% See solution above
% 118.68/17.39 % (15964)------------------------------
% 118.68/17.39 % (15964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 118.68/17.39 % (15964)Termination reason: Refutation
% 118.68/17.39
% 118.68/17.39 % (15964)Memory used [KB]: 121566
% 118.68/17.39 % (15964)Time elapsed: 16.936 s
% 118.68/17.39 % (15964)Instructions burned: 25978 (million)
% 118.68/17.39 % (15958)Success in time 17.065 s
%------------------------------------------------------------------------------