TSTP Solution File: LCL109-5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 13:40:31 EDT 2024
% Result : Unsatisfiable 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 29 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431,plain,
$false,
inference(trivial_inequality_removal,[],[f420]) ).
fof(f420,plain,
truth != truth,
inference(superposition,[],[f17,f348]) ).
fof(f348,plain,
! [X0] : truth = X0,
inference(superposition,[],[f301,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f301,plain,
! [X0] : truth = implies(truth,X0),
inference(unit_resulting_resolution,[],[f288,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition1) ).
fof(f288,plain,
! [X0] : ordered(truth,X0),
inference(superposition,[],[f241,f90]) ).
fof(f90,plain,
! [X0] : truth = implies(X0,X0),
inference(unit_resulting_resolution,[],[f88,f7]) ).
fof(f88,plain,
! [X0] : ordered(X0,X0),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f86,plain,
! [X0] : ordered(implies(truth,X0),implies(truth,X0)),
inference(unit_resulting_resolution,[],[f19,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ ordered(X0,X1)
| ordered(implies(X0,X2),implies(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f19,plain,
ordered(truth,truth),
inference(unit_resulting_resolution,[],[f1,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f241,plain,
! [X0,X1] : ordered(implies(X0,X1),X1),
inference(forward_demodulation,[],[f236,f1]) ).
fof(f236,plain,
! [X0,X1] : ordered(implies(X0,X1),implies(truth,X1)),
inference(unit_resulting_resolution,[],[f228,f9]) ).
fof(f228,plain,
! [X0] : ordered(X0,truth),
inference(superposition,[],[f212,f95]) ).
fof(f95,plain,
! [X0] : truth = big_V(X0,truth),
inference(superposition,[],[f90,f32]) ).
fof(f32,plain,
! [X0] : implies(X0,X0) = big_V(X0,truth),
inference(superposition,[],[f18,f1]) ).
fof(f18,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X1,X0),
inference(forward_demodulation,[],[f3,f5]) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big_V_definition) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f212,plain,
! [X0,X1] : ordered(X0,big_V(X0,X1)),
inference(forward_demodulation,[],[f202,f5]) ).
fof(f202,plain,
! [X0,X1] : ordered(X0,implies(implies(X0,X1),X1)),
inference(unit_resulting_resolution,[],[f88,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ ordered(X1,implies(X0,X2))
| ordered(X0,implies(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_2) ).
fof(f17,axiom,
truth != big_V(implies(x,y),implies(y,x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n017.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Apr 29 22:01:03 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % (17494)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (17498)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.36 TRYING [1]
% 0.15/0.36 TRYING [2]
% 0.15/0.36 % (17497)WARNING: value z3 for option sas not known
% 0.15/0.36 TRYING [3]
% 0.15/0.36 % (17495)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.36 % (17496)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.36 % (17497)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)
% 0.15/0.36 % (17499)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)
% 0.15/0.36 % (17500)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)
% 0.15/0.36 % (17501)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (17501)First to succeed.
% 0.15/0.37 % (17501)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (17501)------------------------------
% 0.15/0.37 % (17501)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (17501)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (17501)Memory used [KB]: 881
% 0.15/0.37 % (17501)Time elapsed: 0.011 s
% 0.15/0.37 % (17501)Instructions burned: 14 (million)
% 0.15/0.37 % (17501)------------------------------
% 0.15/0.37 % (17501)------------------------------
% 0.15/0.37 % (17494)Success in time 0.027 s
%------------------------------------------------------------------------------