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 : n031.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 10:30:41 EDT 2024
% Result : Unsatisfiable 78.11s 11.57s
% Output : Refutation 78.11s
% 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oneg__le__0__iff__le_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA009-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:46:28 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (31918)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (31962)WARNING: value z3 for option sas not known
% 0.21/0.46 % (31960)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.46 % (31961)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.46 % (31963)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.46 % (31962)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)
% 0.21/0.46 % (31965)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)
% 0.21/0.46 % (31966)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)
% 0.21/0.46 % (31967)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)
% 1.54/0.69 TRYING [1]
% 3.66/0.95 TRYING [2]
% 5.62/1.21 TRYING [1]
% 7.70/1.52 TRYING [2]
% 9.03/1.71 TRYING [1]
% 10.45/1.96 TRYING [2]
% 75.19/11.18 Cannot represent all propositional literals internally
% 76.45/11.35 % (31961)Refutation not found, incomplete strategy% (31961)------------------------------
% 76.45/11.35 % (31961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 76.45/11.35 % (31961)Termination reason: Refutation not found, incomplete strategy
% 76.45/11.35
% 76.45/11.35 % (31961)Memory used [KB]: 195728
% 76.45/11.35 % (31961)Time elapsed: 10.874 s
% 76.45/11.35 % (31961)Instructions burned: 23999 (million)
% 76.45/11.35 % (31961)------------------------------
% 76.45/11.35 % (31961)------------------------------
% 77.06/11.38 % (32152)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 78.11/11.55 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 78.11/11.55 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,1]
% 78.11/11.55 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 78.11/11.56 % (31966)First to succeed.
% 78.11/11.57 % (31966)Refutation found. Thanks to Tanya!
% 78.11/11.57 % SZS status Unsatisfiable for theBenchmark
% 78.11/11.57 % SZS output start Proof for theBenchmark
% See solution above
% 78.11/11.57 % (31966)------------------------------
% 78.11/11.57 % (31966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 78.11/11.57 % (31966)Termination reason: Refutation
% 78.11/11.57
% 78.11/11.57 % (31966)Memory used [KB]: 121566
% 78.11/11.57 % (31966)Time elapsed: 11.102 s
% 78.11/11.57 % (31966)Instructions burned: 25962 (million)
% 78.11/11.57 % (31966)------------------------------
% 78.11/11.57 % (31966)------------------------------
% 78.11/11.57 % (31918)Success in time 11.216 s
%------------------------------------------------------------------------------